DETECTING THE REGULARITIES OF PROPAGATION OF AN UNSTABLE FLAME FRONT USING OPTICAL 4D SPECTROSCOPY AND COLOR HIGH-SPEED FILMING
Abstract and keywords
Abstract (English):
The main objective of this book is to acquaint the reader with the main modern problems of the multisensor data analysis and opportunities of the hyperspectral shooting being carried out in the wide range of wavelengths from ultraviolet to the infrared range, visualization of the fast combustion processes of flame propagation and flame acceleration, the limit phenomena at flame ignition and propagation. The book can be useful to students of the high courses and scientists dealing with problems of optical spectroscopy, vizualisation, digital recognizing images and gaseous combustion. The main goal of this book is to bring to the attention of the reader the main modern problems of multisensory data analysis and the possibilities of hyperspectral imaging, carried out in a broad wave-length range from ultraviolet to infrared by methods of visualizing fast combustion processes, propagation and flames acceleration, and limiting phenomena during ignition and flame propagation. The book can be useful for students of higher courses and experimental scientists dealing with problems of optical spectroscopy, visualization, pattern recognition and gas combustion.

Keywords:
Remote measurements, optoelectronic methods, multisensor data analysis, hyper spectral shooting, ramjet engine, Catalytic Stabilization
Text
It is shown that when the propagation of the FF flame front from spherical to propagation in a pipe occurs, phenomena caused by instability flat flame by the example of combustion of stoichiometric mixtures of n-pentane (C5H12) with air, diluted with carbon dioxide (CO2) and argon (Ar), at total atmospheric pressure. It is shown that, upon deceleration of the FF near the end wall of the reactor, a smooth FF acquires a cellular structure. It is shown that qualitative modeling of the results obtained is possible when analyzing the Navier-Stokes equations for a compressible medium in the approximation of a small Mach number. Using the methods of 4D optical spectroscopy and color high-speed filming, the features of combustion in flame cells caused by hydrodynamic instability have been experimentally observed for the first time. It is shown that any combustion cell is essentially a separate “chemical reactor”, in each of which the process of complete chemical transformation is carried out. Key words: flame front, hydrodynamic instability, flat flame, cellular structure, hyperspectrometer, color high-speed filming Let us recall that in real conditions, the processes of gas-phase combustion proceed under conditions of unsteady flows, fluctuations in density and pressure, i.e. are nonstationary [1]. As shown by L.D. Landau, from a hydrodynamic point of view, a flat flame should be unstable [2]. This Chapter is devoted to the consideration of combustion in unsteady and unstable modes. The main attention is paid to the use of the methods of color high-speed filming and 4D optical spectroscopy, which makes it possible to register the intensity of the optical spectrum simultaneously depending on the wavelength, time and coordinate to establish the features of these processes. Unstable modes manifest themselves in combustion processes in various forms and can be classified as thermal diffusion, hydrodynamic and thermoacoustic [3-9], see also Chapter 3. Determining the nature of the chemical transformation during unstable combustion is an urgent problem both from the point of view of theory and in practical applications related to both the intensification of combustion and the issues of explosion safety. Experimentally, this issue was solved for the case of thermal diffusion instability, for which it was necessary to carry out experiments under zero gravity on the ISS. In [10], it was experimentally shown for the first time that in the presence of instabilities of a thermodiffusion nature (lean mixtures of hydrogen with oxygen), in zero gravity, there is a mode of formation of separate isolated stationary combustion cells. In other words, there are separate "chemical reactors" in a combustible environment. In this regard, we note that more than 50 years ago Zeldovich [4] showed that stationary heating and mass conservation equations admit a solution corresponding to a stationary spherical flame, although the same governing equations in plane geometry admit a solution in the form of a combustion wave. In the simplest case of spherical geometry, the solutions of the stationary equations of free convection for temperature T and chemical particles C: 2T = 0 and 2С in polar coordinates have the form c1 + c2/r, where c1 and c2 – constants. This form satisfies the requirement that T and Y are bounded as r. For cylindrical and planar geometries, the corresponding solutions have the form c1 + c2 ln(r) and c1 + c2r, respectively, which are obviously not bounded as r. For this reason, the theory allows stable solutions for a ball of flame, but not, say, a "cylinder of flame". It is these stable balls of flame predicted by Ya. B. Zeldovich that were observed in [10]. Despite the fact that the internal hydrodynamic instability of a flat flame has been recognized for almost a century, and that the first attempts at an analytical description were made more than fifty years ago, data on experimental measurements of the growth rates of flat flame perturbations began to appear in the literature relatively recently. One of the reasons for this is the experimental difficulty of controlling the initially flat front of the flame of premixed mixtures in a regime in which the flat front is unstable. A direct experimental test of Landau's hypothesis was carried out in [11]. Note that the FF is not characterized by only one characteristic frequency, but by a set of frequencies, which leads to the existence of regions of flame instability, often manifested in the appearance of cellular structures during combustion [2-5]. An important feature is that the boundaries of the instability region shift with an increase in the acoustic amplitude, i.e. it is possible to stabilize a planar phase transition with respect to hydrodynamic instability using an external acoustic field. In [11], an experiment was described in which the growth rate of cellular structures at the boundary of a plane flame was directly measured. The flat shape of the unstable laminar flame front was maintained by imposing an acoustic field. The growth rate of two-dimensional disturbances in time was observed after the acoustic field was turned off. Thus, Landau's hypothesis was verified by imposing an external factor i.e. an acoustic field. This experiment also illustrates the relationship between the main factors causing the instability of hydrodynamic and acoustic flames [9]. In experiments with a spherical FF, conditions are possible under which an unperturbed regime can be realized at a certain stage of FF propagation, since perturbations of a spherical FF develop more slowly than a flat flame [12]. The instability of a spherical flame has a specific character associated with the fact that its front surface area is continuously growing. If the disturbances on the spherical FF increase more slowly than according to the linear law when the radius of the sphere as a whole grows, the FF smoothes out over time, despite the increase in the absolute value of the amplitude of the curvatures. The properties of the flame in this case approach the properties of an undisturbed spherical FF [12]. Thus, in a spherical flame, disturbances grow in time more slowly than in a flat flame [12]. However, after the phase transition loses its spherical shape, for example, during propagation in a cylindrical channel, the conditions for the rapid growth of the phase transition surface disappear and the instability predicted by L.D. Landau [2]. In such an experiment, no external flame stabilization is required, since the initial spherical FF is initially undisturbed until it touches the reactor walls. In this Chapter, using the example of the combustion of mixtures of n-pentane with air, the spatial propagation of a FF in a reactor of constant volume is investigated under conditions when the FF loses its spherical shape and the hydrodynamic instability of a plane flame front according to Landau is manifested. We assumed that the deceleration of the FF and the reaction products upon touching the FF wall would be accompanied by the onset of combustion instability. In this case, an additional reason for the instability of combustion under our conditions will be the splash of cold gas from the mains and its ignition, as well as the amplification of acoustic vibrations that repeatedly pass through the FF. In order to find out the features of the described unstable combustion regime in this Chapter, the spatial propagation of the FF of stoichiometric mixtures of n-pentane with air in the presence of inert gas additives, at 1 atm and an initial temperature of 298 K in a constant-pressure bomb was investigated by methods of high-speed color photography and optical 4D spectroscopy. It should be noted that in stoichiometric flames of mixtures diluted with an inert gas, one should not expect the appearance of instabilities of either a thermodiffusion (there is no large difference in the transfer coefficients) or a thermoacoustic nature (the normal flame propagation rate is low). Experimental part The experiments were carried out in a cylindrical reactor with a volume of 2826 cm3 made of stainless steel, 25 cm long and 12 cm in diameter, equipped with removable covers and an optical quartz window at the end. Here a photograph of a setup for studying combustion is shown in fig. 1a where: 1- stainless steel reactor, 2- optical quartz glass, 3- line along which the hyperspectral survey was carried out, the width of which is about 1 mm (see Chapter 2). Figure 1b shows a diagram of this installation where: 1- reactor, 2- electric heater, 3- thermal insulation, 4- valves, 5- mixer, 6- optical window, 7- digital film camera, 8- hyperspectrometer, 9- pressure sensor, 10 - information recording system based on ADC and computer, 11- digital millivoltmeter, 12- spark ignition system). In the center of the reactor, spark ignition electrodes were located, the distance between which was 0.5 mm. Fig. 1. a - photograph of the installation for studying combustion; b - block diagram of the experimental installation. The experiments were carried out in the following sequence. A combustible mixture of a given composition prepared in advance in a cylinder was admitted into the reactor to the required pressure, and then ignition was initiated with a spark (1.5 J). Registration of the FF ignition and propagation was carried out through the optical window with a hyperspectrometer and a color high-speed film camera (Fig. 2) Casio Exilim F1 Pro (frame rate - 60 - 1200 s-1). The data obtained were recorded into the computer memory and then processed. Chapter 2 details the experimental setup using a hyperspectrometer and high-speed video (see Figure 16 in Chapter 2). Let us briefly recall that spectroscopic measurements were carried out using a 4D spectrometer (hyperspectrometer), which allows simultaneous measurements of spectral and spatial coordinates [13, 14]. A hyperspectrometer (of the push broom type) registers a narrow band on the sensed object at the same time. Registration is carried out on a two-dimensional photodetector matrix, according to one coordinate of which the spatial coordinate is measured, and according to the other - the spectral one (wavelength). Two more (up to 4D dimensions) are signal intensity and time. Fig. 2. The location of the high-speed video camera for filming the combustion process. Since the data are taken from the photodetector matrix of the hyperspectrometer at a frame rate of up to 300 Hz, the time dependence of the emission spectra of the combustion process is thus recorded. In this work, both video recording of the combustion with a video camera and registration of the combustion process with a hyperspectrometer were carried out, and then the obtained data were compared. The measurements were performed using a VID-IK3 hyperspectrometer [14] (see Chapter 2). Before each experiment, the reactor was evacuated using a 2NVR-5D forevacuum pump. The pressure in the reactor was monitored with an exemplary pressure gauge and a vacuum gauge. Gases Н2, n-pentane (n-С5Н12), Аr, CO2, CCl4 were of the "okhch" grade. Carbon tetrachloride CCl4 was used as a combustion inhibitor for n-pentane. Experiments in a stainless steel reactor were carried out with pre-prepared mixtures of 40% H2 + air + (0 ÷ 1%) CCl4 and stoichiometric mixtures of n-pentane (n-C5H12) with air diluted with argon (Ar) or carbon dioxide (CO2) at total atmospheric pressure. Ar additions to the previously prepared stoichiometric mixture of 2.5% С5Н12 - 97.5% air were 15%, СО2 - 10%, CCl4 additions to a diluted stoichiometric mixture of n-pentane with air were up to 2%. Fig. 3. Location of the IR-VID3 hyperspectrometer (1) on the rotating device (2) Results and discussion of experiments It was found in preliminary experiments with mixtures of 40% H2 with air that, in accordance with [5], additions of CCl4 in an amount of up to 2% to this mixture do not noticeably affect either the flame front propagation velocity or the FF emission spectrum in the visible region. Therefore, for the presentation in this work, we have chosen the most illustrative pair “film - spectrum” for a hydrogen – air mixture. The results of video recording of the combustion of a mixture of 40% H2 with air and the addition of 1% CCl4 at a pressure of 1 atm in a stainless steel reactor with a frame rate of 600 s-1 is shown in fig. 4. The number on the frame corresponds to the frame number when shooting. Combustion was initiated by a spark in the geometric center of the reactor. The frames of high-speed filming with a frame rate of 600 s-1 of the propagation of FF of mixtures of n-pentane with air for various compositions of combustible mixtures is shown in fig. 5-7. In these frames, after the moment of initiation, stationary propagation of the FF is observed until the moment it touches the side surface of the reactor. The number on the frame corresponds to the number of the frame during filming. It can be seen that the FF is deformed near the openings of the gas supply lines (Fig. 4, frame 31; Fig. 7, frame 50).Further propagation of the FF continues in the cylindrical part of the reactor in the direction of the end. In this case, the injection of a cold combustible mixture from the volume of the mains into the combustion products in the reactor is observed (Fig. 6). Fig. 4. Result of frame-by-frame processing of filming of initiated ignition of a mixture of 40% H2 with air and 1% CCl4 addition. It can be seen that the FF is deformed near the openings of the gas supply lines (Fig. 5, frame 31; Fig. 7, frame 50). Fig. 5. The result of time-lapse processing of filming of the process of propagation of a spherical flame front of a stoichiometric mixture of pentane with air and 10% CO2. Further propagation of the FF continues in the cylindrical part of the reactor in the direction of the end. In this case, the injection of a cold combustible mixture from the volume of the mains into the combustion products in the reactor is observed (Fig. 6). When passing to the combustion regime in a cylinder in diluted by Ar or CO2 + CCl4 mixtures, disturbances in the form of cells appear on the FF surface. Fig. 6. Filming of the process of propagation of a spherical flame front for a mixture of 80% (C5H12 + O2) stoich. + 20% Ar. Indeed, the FF radius grows so rapidly that instability does not develop against this background at the stage of a spherical flame, and the FF is not disturbed [12]. At the stage of propagation along the reactor, a hydrodynamically unstable flat flame arises, as predicted by theory [2]. This instability, as can be seen from Fig. 6 and 7, is expressed in the formation of cellular structures at the flame front. The formation of cells is characteristic for a certain degree of dilution with an inert additive. In fast-burning (not diluted with an inert gas) mixtures, cells are not recorded. In flames of combustible mixtures diluted with argon, the cellular structures are located motionless in space, while the size of the cells grows slightly (Fig. 6). With an increase in the degree of dilution of the stoichiometric mixture and the use of carbon dioxide and CCl4 instead of argon as a diluent, the cellular structures shift in the direction of gravity, the cell size stabilizes. In other words, it can be verified that their size distribution remains practically constant until the end of combustion, while the combustible mixture burns out near the bottom of the reactor (Fig. 7). Fig. 7. Result of frame-by-frame processing of filming of the process of propagation of a spherical flame front of a stoichiometric mixture of pentane with air + 10% CO2 + 1% CCl4. Let us carry out a qualitative examination of the propagation of a flame in a two-dimensional channel using the example of a plane problem in the "side view" projection in order to compare the results of the qualitative calculation with the experimental ones and to establish further directions for modifying the calculation. In this case, both the interaction of the FF with the end wall of the reactor and the transition of the FF of a circular shape to propagation in a flat channel upon initiation by a point source will be considered. As indicated above and as is known from the literature [16], the relationship between the main factors causing the instability of hydrodynamic and acoustic flames can be taken into account when considering the Navier-Stokes equations for a compressible medium in the acoustic approximation (which corresponds to substantially subsonic flames). Let's make a few important notes. It is well known that theoretical calculations of combustion processes carried out on the basis of kinetic schemes containing hundreds of elementary reactions do not have predictive power. Indeed, the overwhelming majority of rate constants and their temperature coefficients are not accurate enough to make reliable conclusions based on calculations with such errors. Typically, the value of error in the experimental determination of rate constants is from 50% to two orders of magnitude, and this is in the case of experimental determination. On the other hand, the problem of the completeness of the used kinetic mechanism remains unresolved, i.e. whether any important reaction that affects the ignition and combustion parameters has been missed. Moreover, since there are no uniqueness theorems for the solutions of the Navier-Stokes equations in a compressible reacting medium, the correspondence of the calculated profiles, for example, of intermediate reagents to the experimental, is not an argument in favor of the agreement between the calculation and experiment. There may be several sets of governing parameters describing the same profiles (until proven otherwise). In this sense, the following consideration of the Navier-Stokes equations in a reacting medium is only of a qualitative nature. It is due to the lack of evidence of the uniqueness of solutions for this type of systems of equations that we do not consider a detailed kinetic mechanism, but restrict ourselves to one activated reaction or the simplest chain mechanism (see below). Thus, a comparison of the recorded picture of the movement of the glow front and the result of the calculation, carried out without the involvement of a detailed kinetic mechanism in the form available today, is possible only qualitatively according to the trend of change in the speed of the front, namely, the interface between the initial "fresh" and actively reacting medium, as well as the nature of this boundary - the degree of its "smoothness" and disturbances of its structure. The Navier-Stokes equations for a compressible reacting medium in the low Mach number approximation were proposed in [16-20]. The indices t, x, y, z denote differentiation with respect to t, x, y, z. T = P t + u)x + (v)y + (w)z = 0 (vt +u ux +vuy +wuz) + P x /M 2 = 1/Fr + Sc(2u + 1/3 Kx) (ut +u vx +vvy +wvz) + P y / M 2=1/Fr + Sc(2v + 1/3 Ky) (I) (wt +u wx +vwy +wwz) + P z/ M 2 =1/Fr + Sc(2w + 1/3 Kz) [Tt +u Tx+v Ty+w Tz] - (Pt -(-1)M 2[P t +u P x +v P y +w P z] = 2T +1W [Ct + v Cy + uCx+ w Сz] = 2C - W W = (1-C) exp(/T), where K = ux + vy + wz, - viscous dissipation term, 2 - three-dimensional Laplace operator. P(x,y,t) = P0(t) +M2p2(x,y,t) + O(M3), P0(t) – static pressure, which is calculated based on conservation laws [17] , p2(x,y,t) – dynamic pressure. Here, (u, v, w) – velocity components in directions (x, y, z) respectively;  -density; T –temperature. The chemical reaction is represented by a one-step first-order Arrhenius reaction; Р - pressure, C – concentration of the reactant, 1-С - degree of conversion,  - dimensionless coefficient which has meaning E/R, where Е - activation energy, R - gas constant. Dimensionless parameter is Schmidt criterion Sc = v/D , D – diffusion coefficient, kinematic viscosity,  - ratio of heat capacities at constant pressure and constant volume; 1 characterizes the release of heat per unit of concentration С,  - kinetic coefficient proportional to the second Damköhler number [19]. Density, temperature, pressure and concentration are made dimensionless using the initial values 0=0.001 g/cm3 [5], T0 =1, P0 = 0T0,=10.5, =1.4,  =0.2, 1 =0.3, CP =0.3 0.3 cal/g.degrees [5] and С0=0, respectively. The Lewis number is assumed to be Le =1, which implies the equality Sc = Pr, where Pr =0CP v/ ,  - thermal conductivity and Cp – heat capacity at constant pressure. The length and speed scales are defined as l2d = Dtd , and Ud = ld / td, respectively. Then the Reynolds number, taking into account the choice of ld and Ud has the form Re = ld Ud / v = 1 / Sc. The Froude number Fr = Ud2/gld, where g - the gravitational acceleration, was taken equal to 0.07. The Mach number is defined as М =Ud /с0 and is taken equal to 0.025, where с0 – speed of sound. Obviously, if М=0, there are no pressure fluctuations. At M →0 the initial value of the average pressure P0 becomes much higher than the average value of ρ0Ud2 for pressure fluctuations around the average pressure P0. The velocity field as a function of the pressure gradient is determined by these pressure fluctuations around its mean value. If the standard pressure representation is used, then the usual change of variables P = P0p leads to the appearance of the factor 1/M2 in the grad p term in the momentum equation [16, 17, 20]. We will consider a two-dimensional problem and exclude the z coordinate: T = P (a) t + (v)y + (pu)x = 0 (b) (ut +vvy +uvx) + P y/M 2 =1/Fr + Sc(2v + 1/3 Ky) (c) (vt +vuy +uux) + P x/M 2 =1/Fr + Sc(2u + 1/3 Kx) (d) (II) [Tt+v Ty +u Tx] - (P t -(-1)M 2[Pt +u Px+v Py] = 2T +1W (e) [Ct + v Cy + uCx] = 2C  W (f) W = (1-C) exp(/T) (g) Ptt – 1/M22P = q(CP -1) Wt (h) where 2 = ( )yy + ( )хх two-dimensional Laplacian, K = vy + ux, Ptt = D2P/Dt2 , D( )/Dt - substantial derivative. In the calculations, it was assumed that the pressure values satisfy the wave equation (the last equation of system (II)), which, under the assumption of small disturbances introduced by the wave, can be obtained from the equations of continuity and conservation of momentum, taking into account internal energy sources and neglecting terms of order 1 / M4 [16, 17, 21, 22]. In a number of calculations, the reaction rate was set not by the Arrhenius equation, but using the simplest chain mechanism: С  2n (w0) and n + C  2n + products, described by Arrhenius's law. In this case, equations (f) and (g) of system (II) were replaced by the following equations: [Ct + v Cy + u Cx] = 2C - n W [nt + v ny + u nx] = 2n + 2n W W = C exp( - /T) The initial condition for the concentration of the mother substance changes to С0 = 1, n0 = 0. Since the last equation (h) of system (II), which describes wave processes in a moving inhomogeneous medium with internal heat sources, is obtained using the continuity equation and the equation of conservation of momentum (q = ld2/(Ud40) – It is a parameter that arises when the system is reduced equations to dimensionless form and in the subsequent qualitative calculation set equal to one), then system (II) is redefined. In order for the number of equations to correspond to the number of unknowns, the first-order equation (b) was excluded from system (II) during further analysis. The use of equation (h) provided a significant acceleration of the calculations carried out in this section, within the framework of the software package used in this work. This problem was solved by the finite element method using the software package (FlexPDE 6.08, A Flexible Solution System for Partial Differential equations, 1996-2008 PDE Solutions inc. [23]). The system of equations (II) was solved in an area. On the left boundary, the initiation condition T = 10 (initial dimensionless temperature T = 1) was set by a step (Fig. 8). At the boundaries of the region, dC/dx =0, dC/dy =0, n=0 and the convective heat transfer condition dT/dt =(T-T0), u=0, v=0, d/dx =0, d/dy =0. The results of a qualitative calculation of the interaction of a phase transition in a flat channel with an end wall in order to establish the effect of gravity on the evolution of cellular structures and compare the obtained qualitative results with experiment are shown in fig. 8. In this figure, the time in seconds is given under each "frame", the top row of the image refers to the absence of gravity. In each "frame" of the bottom row, gravity is directed from top to bottom. The bottom row shows a scale of dimensionless temperatures. In this case, initiation by a section and not point initiation of the opposite end is specified for reducing the calculation time. After initiation, a stationary combustion wave propagates from left to right that is shown in fig. 8. When the combustion wave approaches the right end, a cellular structure appears, which at g = 0 moves uniformly from left to right. The size of the cells increases slightly over time. In the presence of gravity (the bottom row of images in Fig. 8), it can be seen that the FF first approaches the "upper" part of the right boundary of the computational domain and only then to its "lower" part. Accordingly, the cellular structure moves “from top to bottom,” in qualitative agreement with experiment (Fig. 7). It can also be concluded from fig. 8 (top row of images) that if the flame velocity is high enough (an increase in Re), then the gravity does not have time to influence the flame propagation (i.e., formally, g0 takes place), and an immobile cellular structure with a weakly growing cell size should be observed. This is also in qualitative agreement with experiment (Fig. 6). When analyzing the combustion kinetics set by the chain mechanism, the calculation results are the same as those shown in Fig. 8 for  = 7, i.e. in accordance with work [5], the effective activation energy of the process proceeding by the chain mechanism is lower than for the molecular reaction described by the Arrhenius law. Thus, the patterns of evolution of the experimentally observed cellular structure obviously depend on the form of the heat release function, which is determined by the kinetic mechanism of the reaction. It is obvious that in order to proceed to the description of the quantitative regularities of the formation of regular structures on the FF, it is necessary to analyze the three-dimensional model. At the same time, the results of two-dimensional modeling are in qualitative agreement with the above-noted interrelation of the main factors responsible for the instability of hydrodynamic and acoustic flames. Since the interpretation of the cellular structure observed in our experiments in the interaction of the FF with the wall requires taking into account both hydrodynamic and acoustic parameters of burning gas. Fig. 8. Calculated dependences of the two-dimensional thermal field on time during the propagation of the flame front to the channel wall. The data obtained, in agreement with the information presented in the Introduction, indicate the gas-dynamic nature of the cellular structure of the phase transition observed in our experiments at the end of combustion. Thus, the cellular combustion mode is caused by the gas-dynamic instability inherent in plane flames [2]. It should be noted that the dependence of the FF structure and the role of this structure in the evolution of the flame front in a reactive gaseous medium on the initial conditions, in particular on the size of the reaction volume, have not yet been sufficiently investigated and require further study under conditions of large volumes. We point out that the above numerical simulation only allowed to establish the hydrodynamic nature of the flame instability. However, it does not allow us to reveal the features of combustion in each individual cell, in particular, due to the conventionality of the reaction kinetics considered in the simulation. This issue was solved experimentally using 4D spectroscopy, which allows recording optical radiation spectra from a given point in space. It allowed to obtain a spectrum emitted both from the boundary between the cells and from the inner region of the flame cell under our conditions. Hyperspectral cubes of the investigated combustible mixtures: 40% hydrogen + air + 1% CCl4, stoichiometric mixture of pentane with air + 10% CO2, stoichiometric mixture of pentane with air + 10% CO2 + 1% CCl4 are shown in Fig. 9 a-c. In Fig. 9 a-c, the x-axis corresponds to the red line in Fig. 1, and the y-axis corresponds to the dependence of the combustion process on time. Each line y corresponds to one frame of information accumulation on the photodetector matrix of the hyperspectrometer (300 frames / s). The optical combustion spectra of a mixture 40% H2 + air + 1% CCl4, recorded along a vertical line along the diameter of the optical window (line 3, Fig. 1), are shown in Fig. 10. It should be noted that the hydrogen flame at low pressures is practically invisible, since its radiation is mainly due to the radiation of hydroxyl radicals ОН А2–X2 in the ultraviolet region at 306 nm [24]. Attention is drawn to the features of the flame spectrum in the visible region, namely, the system of radiative bands in the region of 570 - 650 nm. They “visualize” the hydrogen flame at elevated pressures along with the lines of sodium (581 nm) and potassium (755 nm) atoms inherent in all hot flames [24] and in this case emitted from the region filled with combustion products. It can be seen from fig. 10 that at the selected time instant one FF is recorded along the x axis, located between coordinates 234 and 140. While the intensities of all spectral lines from the spectrum with coordinate 234 to the spectrum with coordinate 1 change symbatically. There is no situation when the intensity of the bands in one region of the spectrum in space increases, and in the other region of the spectrum decreases. This is due to the fact that the observed spectral lines belong only to the reaction products or appear in the zone of the reaction products (Na, K). They indicates the stability of the hydrogen combustion flame front (the presence of only one phase transition), which can also be seen from the high-speed filming frames given in fig. 4. Bands in the region of 600 nm were also observed in a hydrogen flame in [25]. Below is table 4 from work [25], in which the assignment of the bands in Fig. 12 to water vapor, which is a product of the hydrogen oxidation reaction. Fig. 9. Hyperspectral cubes: a) combustion of 40% hydrogen in air, b) combustion of a stoichiometric mixture of n-pentane with air and 10% CO2, c) combustion of a stoichiometric mixture of n-pentane with air, 10% CO2 and 1% CCl4. Fig. 10. Combustion spectrum of a mixture of 40% hydrogen + air + 1% CCl4, pressure of 1 atm along the red line y = 15 (Fig. 1a). Table Comparison of the radiative bands of a hydrogen flame with sheets of water. I II III Quantum by R. Mecke Quantum numbers Radiant flame band Difference Water vapor absorption band No.  No. cm cm No. cm 1 17495.44 3, 2, 0 2 17492 + 3  2 16898.44 1, 4, 0 7 16878 + 21 2 16903 3 16821.62 1, 3, 2 8 16807 + 15 3 16821 4 15832.47 3, 1, 1 15 15815 + 17  5 15347/90 1, 3, 1 20 15340 + 8 4 15340 The combustion spectrum of a stoichiometric mixture of pentane with air + 10% CO2 is shown in fig. 11. This spectrum contains intense lines of atoms of alkali metals Na, K and bands of water vapor [26, 27]. All these particles appear in the zone of the reaction products. The absence of emission bands of intermediate products of the oxidation of hydrocarbons (С2, СН) is due to the fact that the intensity of the “hot” lines of atoms is high in comparison with the intensity of the emission bands of intermediate particles С2 and СН. A decrease in the reaction rate by introducing an active chemical additive (CCl4 in this work) should allow registration of the emission of C2 and CH particles, which will be demonstrated below. When analyzing the hyperspectral cube for the combustion spectrum of this combustible mixture (Fig. 9b), it was also found that only one FF is recorded at the selected time. The intensities of all spectral lines (Fig. 11) change in the same symbatic manner as in the case of a flame combustion of hydrogen, since all of them, as indicated above, belong to the reaction products. The result obtained indicates the stability of the flame front of a stoichiometric mixture of pentane with air + 10% CO2, which can also be seen from the high-speed filming frames shown in Fig. 5. It was shown above that the combustion of stoichiometric mixtures of pentane with air upon dilution with argon and CO2 becomes unstable and becomes cellular in the transition to combustion in a cylindrical tube. Fig. 11. Combustion spectrum of a mixture of pentane with air + 10% CO2, pressure 1 atm (point x = 105, y = 228). Let us consider the experimental results on the study of this cellular flame, caused, as established above, by gas-dynamic instability, by 4D spectroscopy. A typical frame characterizing the cellular combustion of a stoichiometric mixture of pentane with air with additions of 10% CO2 and 1% CCl4 at a total pressure of 1 atm is shown in figure 12a. A hyperspectral cube for this image along the vertical axis in the blue region C is demonstrated in fig. 12b. In Fig. 12c a fragment of this cube, on which the point of spectrum analysis is indicated. In fig. 12b and 12c clearly visible stripes associated with the boundaries of the cells, formed as a result of the movement in time of these boundaries. The spectrum of the flame recorded in the one indicated in Fig. 12 at a point on the border of one of the cells is demonstrated in fig. 13. Since the mixture contains the inhibiting additive CCl4, the combustion intensity is lower than in the absence of the additive. The release of heat is less, therefore, “hot” lines of Na and K atoms are not observed in the emission spectrum. This spectrum is consistent with the literature data [5] and contains СН (A1 Δ–X2 Π) bands in the 431 nm region, C2 (A3Pg –X3Pu) (1-0, 0-0, 0-1 transitions) in the 470 - 570 nm [28] and emission bands of water vapor (for example, (1, 2, 0), (3, 0, 0) [27]). Fig. 12. a) Video frame of cellular combustion of a stoichiometric mixture of pentane with air + 10% CO2 + 1% CCl4 pressure 1 atm, b) Hyperspectral image (hypercube) in pseudo color B c) highlighted fragment of Fig. 12b. It should be noted that the CH and C2 bands refer to the contribution of the zone of intense chemical transformation (FF zone) [5] to the total spectrum, and the emission bands of water vapor to the emission region of the combustion reaction products. This means that from the ratio of the intensities of the C2 and H2O bands in the spectrum, it is possible to make a qualitative conclusion about which combustion zone the spectrum characterizes i.e. the zone of the immediate flame front or the zone of reaction products. Namely, if the relative intensity of the C2 bands significantly exceeds the relative intensity of the water bands in the flame, then the radiation spectrum corresponds to the combustion zone. If the ratio of intensities is the opposite, then the spectrum refers to the reaction products. Drawing on the coordinate of the emission spectra of a stoichiometric mixture of pentane with air, diluted with 10% CO2 is shown in fig. 14 with the presence of 1% CCl4 along the window axis (along the vertical line in Fig. 12c) from top to bottom. Fig. 13. The spectrum of combustion of a mixture of pentane with air + 10% CO2 + 1% CCl4 pressure 1 atm (point x = 15, y = 46). As far as seen from fig. 14 along the window axis the intensities of the spectral bands do not change symbatically. While the relative intensity of the C2 bands has a maximum at x = 20 and x = 180 (where x is the coordinate shown in Fig. 9), the intensity of the H2O bands at those the same values of x has a minimum. This means, first, that combustion in space is heterogeneous, otherwise the intensities of the spectral lines would change smoothly in the direction of decreasing or increasing. In other words, using 4D spectroscopy, it is possible to register combustion cells, as was done by high-speed filming (Fig. 7, 12 a). Second, the fact that the intensity of the C2 bands has a maximum at the same values (x = 20, x = 180), at which the intensity of the H2O bands is minimal. It means that at these values of x, radiation occurs mainly from the flame front zone. At values of x at which the ratio of the intensities of the C2 and H2O bands is opposite, the radiation comes from the zone of the reaction products. Consequently, it was possible to determine that each combustion cell observed by using the 4D spectroscopy method in Fig. 12 a, is essentially a separate "chemical reactor", in each of which the process of complete chemical conversion is carried out. Fig. 14. Combustion spectra of a mixture of pentane with air + 10% CO2 + 1% CCl4 pressure 1 atm along the axis of the window (along the vertical line in Fig. 12c) y = 46 (t = 9 ms) Let us recall that it was experimentally shown in [10] for the first time that in the presence of instabilities of a thermodiffusion nature (lean mixtures of hydrogen with oxygen) under zero gravity, there is a mode of formation of separate isolated stationary combustion cells, i.e. separate "chemical reactors" in a combustible environment. In this work, the features of combustion in flame cells caused by hydrodynamic instability are experimentally established for the first time by using the methods of 4D optical spectroscopy and color high-speed filming. In addition, as a result of direct experimental test of Landau's hypothesis of the hydrodynamic instability of a plane flame front [11], the relationship was observed between the main factors responsible for the instability of hydrodynamic and acoustic flames [9]. This means that in the cell of the combustion front, caused by an instability of any nature (thermodiffusion, hydrodynamic, thermoacoustic), a complete cycle of transformations is carried out, which is characteristic of a given combustion process. Conclusions for Chapter 4 It is shown that when the FF propagation goes from spherical to propagation in a tube, phenomena caused by instability appear in the reactor flat flame by the example of combustion of stoichiometric mixtures of n-pentane (C5H12) with air, diluted with carbon dioxide (CO2) and argon (Ar), at total atmospheric pressure. It is shown that, upon deceleration of the FF near the end wall of the reactor, a smooth FF acquires a cellular structure. It is demonstrated that qualitative modeling of the results obtained is possible when analyzing the Navier-Stokes equations for a compressible medium in the approximation of a small Mach number. Using the methods of 4D optical spectroscopy and color high-speed filming, the features of combustion in flame cells caused by hydrodynamic instability have been experimentally established for the first time. It is shown that any combustion cell is essentially a separate “chemical reactor”, in each of which the process of complete chemical transformation is carried out. The results obtained on the spectral study and visualization of the propagation of fronts of unstable flames are important in solving the issues of explosion safety for volumes of complex geometry.
References

1. Vision system overview, C&PS Flight Technical Services, 2013. https://www.mygdc.com/ assets / public_files / gdc_services / pilot_services / presentations / Vision_Systems_Overview.pdf

2. Rodionov I. D., Rodionov A. I., Vedeshin L. A., Vinogradov A. N., Yegorov V.V.,. Kalinin A.P. Aviation hyperspectral complexes for solving problems of remote sensing, Earth exploration from space. 2013. No. 6. P. 81-93.

3. Kalinin A. P., Orlov A. G., Rodionov A. I. Troshin K. Ya. Demonstration of the possibility of studying combustion and explosion processes using remote hyperspectral sensing, Physical-chemical kinetics in gas dynamics. 2009. Volume 8. 12 p. http://www.chemphys.edu.ru/pdf/2009-06-18-001.pdf

4. Kalinin A. P., Troshin K. Ya. Orlov A. G. Rodionov A. I. Hyperspectrometer as a system for monitoring and studying combustion and explosion processes, Sensors and Systems, 2008, No. 12, pp.19-21.

5. RF patent. Vinogradov A. N., Kalinin A. P., Rodionov I. D., Rodionov A. I., Rodionova I. P., Rubtsov N. M., Chernysh V. I., Tsvetkov G. I., Troshin K.Ya. Device for remote study of combustion and explosion processes using hyperspectrometry and high-speed photography, Utility model. Patent No. 158856 dated July 22, 2015 Published on January 20, 2016 Bull. No. 2.

6. Belov A. A., Egorov V. V., Kalinin A. P., Korovin, Rodionov A. I., Rodionov I. D., Stepanov S. N. Ultraviolet Monophoton Sensor "Korona" Automation and Remote Control, 2014, Vol. 75, No. 12, pp. 345-349, Pleiades Publishing, Ltd., 2014. (ISSN 0005-1179).

7. Ishimaru A. Wave Propagation and Scattering in Random Media. M.: Mir. 1980. Vol. 1. 280 p.

8. Nepobedimy S. P., Rodionov I. D., Vorontsov D. V., Orlov A. G., Kalashnikov S. K., Kalinin A. P., Ovchinnikov M. Yu., Rodionov A. I., Shilov I. B., Lyubimov V. N., Osipov A. F. Hyperspectral Earth Remote Sensing, Reports of the Academy of Sciences. 2004. Vol. 397. No. 1. P. 45-48.

9. Rodionov I. D., Rodionov A. I., Vedeshin L. A., Vinogradov A. N., Yegorov V. V., Kalinin A. P. Aviation hyperspectral complexes for solving problems of remote sensing, Earth exploration from space. 2013. No. 6. P. 81-93.

10. Yegorov V. V., Kalinin A. P., Rodionov I. D., Rodionova I. P., Orlov A. G. Hyperspectrometer - as an element of an intelligent technical vision system, Sensors and systems. 2007. No. 8, P. 33-35.

11. Vinogradov A. N., Yegorov V. V., Kalinin A. P., Rodionov A. I., Rodionov I. D. Onboard hyperspectrometer of visible and near infrared range with high spatial resolution. Contemporary problems of telecommuting. Sensing the Earth from space. 2012. Vol. 8. Number 2. P. 101-107.

12. E.L.Akim, P.Behr, K.Bries, V.V.Egorov, E.Yu.Fedunin, A.P.Kalinin, S.K.Kalashnikov, K.-H. Kolk, S.Montenegro, A.I.Rodionov, I.D.Rodionov, M.Yu.Ovchinnikov, A.G.Orlov, S.Pletner, B.R.Shub, L.A.Vedeshin, D.V.Vorontsov, THE FIRE INFRARED-HYPERSPECTRAL MONITORING (Russian – Germany Proposals for an International Earth Observation Mission), Preprint of the Keldysh Institute of Applied Mathematics, Russian Academy of Sciences. № 32, 36 pp, Moscow, 2004.

13. Belov A. A., Yegorov V. V., Kalinin A. P., Korovin N. A., Rodionov A. I., Rodionov I. D., Stepanov S. N. Ultraviolet monophotonic sensor “Corona”. Sensors and systems. No. 12. 2012. P. 58-60.

14. Belov A. A., Yegorov V. V., Kalinin A. P., Korovin, Rodionov A. I., Rodionov I. D., Stepanov S. N. Ultraviolet monophotonic sensor “Corona” Automation and Remote Control, 2014, Vol. 75, No. 12, pp. 345-349.

15. Belov A. A., Yegorov V. V., Kalinin A.P., Krysiuk I. V., Osipov A. F., Rodionov A. I., Rodionov I. D., Stepanov S. N. Universal ultraviolet monophotonic sensor. Preprint IPMech RAS, No. 935, 48p, 2010.

16. Belov A. A., Yegorov V. V., Kalinin A. P., Korovin N. A., Rodionov I.D., Stepanov S. N. Application of the monophotonic sensor "Corona" for remote monitoring of the state of high-voltage equipment Chief Power Engineer No. 6 2012 p. 12-17.

17. Belov A. A., A.N. Vinogradov, Yegorov V. V., Zavalishin O. I., Kalinin A. P., Korovin N. A., Rodionov A. I., Rodionov I. D., Possibilities of using position-sensitive monophotonic UV sensors for aircraft navigation in the airfield area, Sensors and systems. 2014. No. 1. 37-42.

18. Ronney, P. D., “Premixed-Gas Flames,” in: Microgravity Combustion: Fires in Free Fall (H. Ross, Ed.), Academic Press, London, U.K., 2001, pp. 35-82.

19. F.A. Williams , J.F.Grcar, A hypothetical burning-velocity formula for very lean hydrogen–air mixtures , Proc. of the Combustion Institute. 2009. V. 32. №1. P.1351 -1360.

20. Nonsteady flame propagation, ed. by George H.Markstein, Perg.Press, Oxford, London, 1964.

21. Ya.B. Zeldovich, Selected Works. Chemical Physics and Hydrodynamics, p/r ak. Yu.A. Khariton, M :; Publishing house "Nauka", 1984, 379 pp.

22. Z. Chen and Y. Ju, Theoretical analysis of the evolution from ignition kernel to flame ball and planar flame, Combustion Theory and Modelling, Vol. 11, No. 3, R. 427–453.

23. H. F. Coward and F. Brinsley, Influence of additives on flames, J. Chem. Soc. 105 (1914) 1859-1866.

24. P.D.Ronney, Near-limit flame structures at low Lewis number, Comb, and Flame, 1990,V.82,P.1-14.

25. Ya.B. Zeldovich, N. P. Drozdov, Diffusion phenomena at the limits of flame propagation, Journal of Physical Chemistry, 1943, Vol. 17, issue 3, pp. 134-144.

26. N.M.Rubtsov, B.S.Seplyarsky, G.I.Tsvetkov, V.I.Chernysh, Numerical investigation of the effects of surface recombination and initiation for laminar hydrogen flames at atmospheric pressure , Mendeleev Communications, 2008, V.18, P.220-222.

27. Rubtsov N.M., Seplyarsky B.S., Troshin K.Ya., Chernysh V.I., Tsvetkov G.I., Features of the propagation of laminar spherical flames initiated by a spark discharge in mixtures of methane, pentane and hydrogen with air at atmospheric pressure // Journal of Physical Chemistry, 2011, Vol. 85, issue 10, pp. 1834-1844.

28. Rubtsov N.M., Kotelkin V.D. Seplyarskii B.S., Tsvetkov G.I.,Chernysh V.I. Investigation into the combustion of lean hydrogen–air mixtures at atmospheric pressure by means of high-speed cinematography, Mendeleev Communications, 2011, V.21, N5,p. 215-217.

29. B. Lewis, G. Von Elbe, Combustion, Explosions and Flame in Gases, New York, London.: Acad.Press, 1987, P.566.

30. Dahoe A.E. Laminar burning velocities of hydrogen–air mixtures from closed vessel gas explosions, Journal of Loss Prevention in the Process Industries. 2005. V.18. P.152-169.

31. Rubtsov N. M., Kotelkin V. D., Seplyarskiy B. S., Tsvetkov G. I., Chernysh V. I. Chemical physics and mesoscopy, V.13, issue 3, pp. 331-339.

32. G. Backstrom, Simple Fields of Physics by Finite Element Analysis (Paperback), GB Publishing (2005), P 324.

33. V. Polezhaev, S. Nikitin, Thermoacoustics and heat transfer in an enclosure induced by a wall heating, 16th International Congress on Sound and Vibration, Kraków, Poland, 5–9 July 2009, p.2-8

34. Rayleigh J.W. On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side, Phil. Mag., 1916. V. 32. P. 529-546.

35. N. M. Rubtsov, V. V. Azatyan, D. I. Baklanov, G. I.Tsvetkov, V. I. Chernysh, The effect of chemically active additives on the detonation wave velocity and detonation limits in poor fuel mixtures, Theoretical foundations of Chemical Technology, 2007, Vol. 41, issue 2, 166-175.

36. T.C. Lieuwen. Experimental investigation of limit-cycle oscillations, Journal of Propulsion and Power, 2002, V.18, P.61-67.

37. Larionov V. M., Zaripov R. G. Gas self-oscillations in combustion installations. Kazan: Publishing House of Kazan State Tech. Univer., 2003. 227 p.

38. Kampen, J. F. van, Acoustic pressure oscillations induced by confined turbulent premixed natural gas flames, PhD thesis, University of Twente, Enschede, The Netherlands, March 2006, ISBN 90-365-2277-3, Printed by Febodruk BV, Enschede, The Netherlands.

39. Williams, F. A. (1985) Combustion Theory. 2nd Ed., The Benjamin/Cummings Pub. Co., Menlo Park, Ca.

40. Ya. B. Zeldovich, G. A. Barenblatt, D.V. Makhviladze, A.B. Librovich, Mathematical theory of flame propagation, Moscow, Publishing house of the AS of the USSR, 1980, 620 pp.

41. Zeldovich Ya. B., Structure and stability of a stationary laminar flame at moderately high Reynolds numbers, Chernogolovka: Publishing house of the AS of the USSR, Preprint OIKhF, 1979, 36 pp.

42. Nickolai M. Rubtsov, Boris S. Seplyarskii, Kirill Ya.Troshin, Victor I.Chrenysh, Georgii I.Tsvetkov, Initiation and propagation of laminar spherical flames at atmospheric pressure, Mendeleev Comm., 2011, Vol. 21, P.218-221.

43. J. W. S. Rayleigh, The theory of sound. New York: Dover, 1945.

44. Putnam A.A., Dennis W.R. Organ-pipe oscillations in a burner with deep ports, JASA. 1956. Vol.28. R.260-268.

45. Al-Shahrany, AS, Bradley, D., Lawes, M., Liu, K. and Woolley, R., Darrieus-Landau and thermo-acoustic instabilities in closed vessel explosions, Combustion Science and Technology, 2006, V. 178, N10, P. 1771 -1802.

46. Maxwell, G.B. and Wheeler, R.V., Some flame characteristics of motor fuels, Ind. Eng. Chem., 1928, V. 20, 1041-1044.

47. Megalchi, M. and Keck, J.C., Burning velocities of mixtures of air with methanol, isooctane and indolene at high pressure and temperature, Combust. Flame, 1982, V. 48, P. 191-210.

48. Clanet, C., Searby, G., (1998), First experimental study of the Darrieus-Landau instability. Phys. Rev. Lett., 27, 3867-3870.

49. Clavin, P. Premixed combustion and gasdynamics. Ann. Rev. Fluid Mech. 1994, 26, 321-352.25. Nickolai M.Rubtsov, Boris S.Seplyarskii, Kirill Ya.Troshin, Victor I.Chrenysh, Georgii I.Tsvetkov, Initiation and propagation of laminar spherical flames at atmospheric pressure, Mendeleev Comm., 2011, T.21, P.218-221.

50. J. W. S. Rayleigh, The theory of sound. New York: Dover, 1945.

51. Putnam A.A., Dennis W.R. Organ-pipe oscillations in a burner with deep ports, JASA. 1956. Vol.28. R.260-268.

52. Al-Shahrany, A. S. , Bradley, D. , Lawes, M. , Liu, K. and Woolley, R., Darrieus-Landau and thermo-acoustic instabilities in closed vessel explosions, Combustion Science and Technology, 2006, V.178, N10, P.1771 -1802.

53. Maxwell, G.B. and Wheeler, R.V., Some flame characteristics of motor fuels, Ind. Eng. Chem., 1928, V.20, 1041–1044.

54. Megalchi, M. and Keck, J.C., Burning velocities of mixtures of air with methanol, isooctane and indolene at high pressure and temperature, Combust. Flame, 1982, V.48, P.191–210.

55. Clanet, C. , Searby, G., (1998), First experimental study of the Darrieus-Landau instability. Phys. Rev. Lett., 27, 3867-3870.

56. Clavin, P. Premixed combustion and gasdynamics. Ann. Rev. Fluid Mech. 1994, 26, 321-352.

57. I. P. Solovyanova, I. S. Shabunin, Theory of wave processes. Acoustic waves, Yekaterinburg: SEI HVE USTU-UPI, ISBN 5-321-00398 X, 2004. P. 142

58. Teodorczyk Α., Lee J.H.S., Knystautas R.: The Structure of Fast Turbulent Flames in Very Rough, Obstacle-Filled Channels. Twenty-Third Symposium (Int.) on Combustion, The Combustion Institute 1990, pp. 735-741.

59. Gorev V. A. , Miroshnikov S. N., Accelerating combustion in gas volumes, Chem. Physics, 1982, No. 6, pp. 854-858.

60. Moen I.O., Donato Μ., Knystautas R., Lee J.H. and Wagner H.G.: Turbulent Flame Propagation and Acceleration in the Presence of Obstacles, Gasdynamics of Detonations and Explosions. Progress in Astronautics and Aeronautics. 1981, No. 75, pp. 33-47.

61. Wagner H.G.: Some Experiments about Flame Acceleration. Proc. International Conference on Fuel-Air Explosions. SM Study 16, University of Waterloo Press, Montreal 1981, pp.77-99.

62. Nikolayev Yu.A., Topchiyan M. E. Calculation of equilibrium flows in detonation waves in gases, Physics of Combustion and Explosion, 1977, Vol. 13b No. 3, pp. 393-404.

63. A. S. Sokolik, Self-ignition, flame and detonation in gases. M: Publishing house of the AS of the USSR, 1960, 470 pp.

64. Fischer V., Pantow E. and Kratzel T., Propagation, decay and re-ignition of detonations in technical structures , in “Gaseous and heterogeneous detonations:Science to applications”, Moscow: ENASH Publishers,1999, P. 197.

65. Rubtsov N. M., Tsvetkov G. I., Chernysh V.I. Different nature of the action of small active additives on the ignition of hydrogen and methane. Kinetics and catalysis. 2007. Vol. 49. No. 3. P. 363.

66. N. M. Rubtsov, B.S. Seplyarsky, G. I. Tsvetkov, V. I. Chernysh, Influence of vapors of organometallic compounds on the processes of ignition and combustion of hydrogen, propylene and natural gas, Theoretical Foundations of Chemical Technology, 2009, Vol. 43, No. 2, pp. 187–193

67. J.H.S. Lee, R. Knystautas and C.K. Chan, Turbulent Flame Propagation in Obstacle-Filled Tubes, in 20th Symposium (International) on Combustion, The Combustion Institute, 1985, P. 1663.

68. C.K. Chan, J.H.S. Lee, I.O. Moen and P. Thibault, Turbulent Flame Acceleration and Pressure Development in Tubes, In Proc. of the First Specialist Meeting (International) of the Combustion Institute, Bordeaux, France, 1981, P.479.

69. C.J.M. Van Wingerden and J.P. Zeeuwen, Investigation of the Explosion-Enhancing Properties of a Pipe-Rack-Like Obstacle Array, Progress in Astronautics and Aeronautics 1986, V.106, P.53.

70. J.C. Cummings, J.R. Torczynski and W.B. Benedick, Flame Acceleration in Mixtures of Hydrogen and Air, Sandia National Laboratory Report, SAND-86-O173, 1987.

71. W. Breitung, C. Chan, S. Dorofeev. A. Eder, B. Gelfand, M. Heitsch, R. Klein, A. Malliakos, E. Shepherd, E. Studer, P. Thibault, State-of-the-Art Report On Flame Acceleration And Deflagration-to-Detonation Transition In Nuclear Safety, Nuclear Safety NEA/CSNI/R 2000, OECD Nuclear Energy Agency, http://www.nea.fr.

72. Nickolai M. Rubtsov, The Modes of Gaseous Combustion, Springer International Publishing Switzerland 2016, 294 P.

73. Poinsot, T. and D. Veynante. Theoretical and Numerical Combustion, 2001, RT Edwards, Flourtown, PA.

74. Zeldovich, Y.B.: Selected Works. Chemical Physics and Hydrodynamics. Nauka, Moscow, 1980, (in Russian).

75. Laurent Joly P. Chassaing, V. Chapin, J.N. Reinaud, J. Micallef, J. Suarez, L. Bretonnet, J. Fontane, Baroclinic Instabilities, ENSICA - Département de Mécanique des Fluides, Variable Density Turbulent Flows – Villanova i la Geltru – 2003, oatao.univ-toulouse.fr›2366/.

76. S. B. Pope, Turbulemt premixed Flames, Ann. Rev. Fluid Mech., 1987, V. 19, P. 237.

77. Bray K.N.C. Turbulent flows with premixed reactants. In P.A. Libby and F.A. Williams, editors, Turbulent Reacting Flows, volume 44 of Topics in Applied Physics, chapter 4, pages 115–183. Springer Verlag, 1980.

78. A. A. Borisov, V. A. Smetanyuk, K. Ya. Troshin, and I.O. Shamshin, Self-ignition in gas vortices, Gorenie i vzryv (Moskva) – Combustion and explosion, 2016, V. 9 no. 1, P.219 (in Russian).

79. Khalil, A.E.E., and Gupta, A.K., Fuel Flexible Distributed Combustion With Swirl For Gas Turbine Applications, Applied Energy, 2013, V. 109, P. 2749.

80. Khalil, A.E.E., and Gupta, A.K., Swirling Flowfield for Colorless Distributed Combustion, Applied Energy, 2014, V. 113, P. 208.

81. Margolin,A.D., and V. P.Karpov. Combustion of rotating gas, Dokl. AN USSR, 1974, V.216, P.346.

82. Babkin, V. S., A.M. Badalyan, A. V. Borisenko, and V. V. Zamashchikov. Flame extinction in rotating gas, Combust. Explo. Shock Waves, 1982, V.18, P.272.

83. Ishizuka, S. Flame propagation along a vortex axis, 2002, Prog. Energ. Combust. Sci.,V. 28, P.477.

84. Zel’dovich, Ya.B., B. E. Gelfand, S.A. Tsyganov, S.M. Frolov, and A.N. Polenov. Concentration and temperature nonuniformities of combustible mixtures as reason for pressure waves generation. Dynamics of explosions. Eds. A. Borisov, A. L. Kuhl, J.R. Bowen, and J.-C. Leyer, 1988, Progress in astronautics and aeronautics ser. Washington, D.C., AIAA, V. 114, P.99.

85. K. Ya. Troshin, I. O. Shamshin, V. A. Smetanyuk, A. A. Borisov, Self-ignition and combustion of gas mixtures in a volume with a eddy flow, Chemical Physics, 2017, V. 36, No. 11, p. 1-12.

86. Borisov, A. A., N. M. Rubtsov, G. I. Skachkov, and K. Ya. Troshin. 2012. Gas-phase spontaneous ignition of hydrocarbons. Russ. J. Phys. Chem. B, V.6, P. 517.

87. Nonsteady flame propagation, ed. by George H.Markstein, Perg.Press, Oxford, London, 1964.

88. Landau L., On the theory of slow combustion. Acta Phys.-Chim. URSS, 1944, 19, 77-85.

89. F.A. Williams, J.F.Grcar, A hypothetical burning-velocity formula for very lean hydrogen–air mixtures, Proc. of the Combustion Institute. 2009. V. 32. №1. P.1351 -1360.

90. Ya.B. Zeldovich, Selected Works. Chemical Physics and Hydrodynamics, p/r ak. Yu .A. Khariton, M:; Publishing house "Nauka", 1984, 379 P.

91. B. Lewis, G. Von Elbe, Combustion, Explosions and Flame in Gases, New York, London: Acad.Press, 1987, P.566.

92. Sivashinsky, G.I., Nonlinear analysis of hydrodynamic instability in laminar flames-I. Derivation of basic equations,Acta Astronaut., 1977, 4. 1177-1206.

93. Clavin, P.,Williams, F.A., Effects of molecular diffusion and of thermal expansion on the structure and dynamics of premixed flames in turbulent flows of large scale and low intensity // J. Fluid Mech., 1982, 116, P. 251-282.

94. Pelcé, P. , Clavin, P. Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flame. J. Fluid Mech. 1982. 124, 219-237.

95. Kampen, J. F. van, Acoustic pressure oscillations induced by confined turbulent premixed natural gas flames, PhD thesis, University of Twente, Enschede, The Netherlands, March 2006, ISBN 90-365-2277-3, Printed by Febodruk BV, Enschede, The Netherlands.

96. Ronney, P. D., “Premixed-Gas Flames,” in: Microgravity Combustion: Fires in Free Fall (H. Ross, Ed.), Academic Press, London, U.K., 2001, pp. 35-82

97. Clanet, C., Searby, G., (1998), First experimental study of the Darrieus-Landau instability. Phys. Rev. Lett., 27, 3867-3870.

98. Ya.B. Zeldovich, G. A. Barenblatt, D.V. Makhviladze, A. B. Librovich, Mathematical theory of flame propagation, M., Publishing House of AS of USSR, 1980, 620 P.

99. Kalinin A. P., Orlov A. G., Rodionov A. I., Troshin K.Ya., Demonstration of the possibility of studying combustion and explosion processes using remote hyperspectral sensing, Physicochemical kinetics in gas dynamics, www.chemphys .edu.ru / pdf / 2009-06-18-001.pdf

100. Vinogradov A. N., Yegorov V. V., Kalinin A. P., Melnikova E. M., Rodionov A. I., Rodionov I. D. Line of hyperspectral sensors of the optical range: Preprint of SRI of RAS Pr-2176, 2015.16 p.

101. Yegorov V. V., Kalinin A. P., Rodionov I. D., Rodionova I. P., Orlov A. G., Hyperspectrometer as an element of an intelligent technical vision system // Sensors and Systems, 2007, No. 8, pp. 33-35

102. Thomas Alasard, Low Mach number limit of the full Navier-Stokes equations, Archive for Rational Mechanics and Analysis 180 (2006), no. 1, 1-73.

103. F. Nicoud, Conservative High-Order Finite-Difference Schemes for Low-Mach Number Flows, Journal of Computational Physics 2000, 158, 71.

104. Williams, F. A. (1985) Combustion Theory. 2nd Ed., The Benjamin/Cummings Pub. Co., Menlo Park, Ca., 450 P.

105. V.Akkerman, V.Bychkov, A.Petchenko, L.-E. Eriksson, Flame oscillations in tubes with nonslip at the walls, Combustion and Flame, 2006, V.145. P.675-687.

106. A.Majda, Compressible fluid flow and systems of conservation laws in several space variables, Applied Mathematical Sciences, vol. 53, Springer-Verlag, New York, 1984.

107. D. I. Abugov, V. M. Bobylev, Theory and calculation of solid propellant rocket engines, M:; Mechanical engineering, 1987, 271 P.

108. Clavin, P. Premixed combustion and gasdynamics. Ann. Rev. Fluid Mech. 1994, 26, 321-352.

109. G. Backstrom, Simple Fields of Physics by Finite Element Analysis (Paperback), GB Publishing (2005), 324 P.

110. Pierse, R., Gaydon, A., The identification of molecular spectra, 1941, N.-Y., London, Acad. Press, 240 p.

111. T. Icitaga, Emission spectrum of the oxy-hydrogen flame and its reaction mechanism. (1) Formation of the Activated Water Molecule in Higher Vibrational States. The Review of Physical Chemistry of Japan Vol. 13f, No. 2 (1939), P. 96-107.

112. L. S. Rothman, I. E. Gordon, Y. Babikov, A. Barbe, D. Chris Benner etc ,"The HITRAN 2012 Molecular Spectroscopic Database," Journal of Quantitative Spectroscopy & Radiative Transfer, 130, 4-50 (2013).

113. P.-F. Coheur, P.F. Bernath, M. Carleer and R. Colin, et al. A 3000 K laboratory emission spectrum of water, The Journal of Chemical Physics, 122, 074307, 2005.

114. Herzberg G. Molecular Spectra and Molecular Structure, Vol. 1, Spectra of Diatomic Molecules. 2nd ed. Van Nostrand. New York. 1950.

115. C. Appel, J. Mantsaras, R. Schaeren, R. Bombach, and A. Inauen, Catalytic combustion of hydrogen – air mixtures over platinum: validation of hetero-homogeneous reaction schemes, 2004, Clean Air, 5, 21–44.

116. J. C. Chaston, Reaction of Oxygen with the Platinum Metals. The oxidation of platinum, Platinum Metals Rev., 1964, 8, (2), 50-54

117. Nikolai M. Rubtsov, Boris S. Seplyarskii, Kirill Ya. Troshin, Victor I. Chernysh and Georgii I. Tsvetkov, Investigation into spontaneous ignition of hydrogen–air mixtures in a heated reactor at atmospheric pressure by high-speed cinematography, Mendeleev Commun., 2012, 22, 222-224.

118. Perry, D. L. (1995). Handbook of Inorganic Compounds. CRC Press. pp. 296–298. ISBN 0-8493-8671-3.

119. Lagowski, J. J., ed. (2004). Chemistry Foundations and Applications 3. Thomson Gale. pp. 267–268. ISBN 0-02-865724-1.

120. Ya. B. Zel’dovich, G. I. Barenblatt, V. B. Librovich and G. M. Machviladze, Matematicheskaya teoriya goreniya i vzryva (Mathematical Theory of Combustion and Explosion), Nauka, Moscow, 1980 (in Russian).

121. A.A. Borisov, N.M. Rubtsov, G.I. Skachkov, K.Ya. Troshin, Gas Phase Spontaneous Ignition of Hydrocarbons, 2012, Khimicheskaya Fizika, 2012, 31, N8, 30–36. [Engl.transl. Russian Journal of Physical Chemistry B, 2012, 6, 517].

122. A. A. Borisov, V. G. Knorre, E. L. Kudrjashova and K.Ya. Troshin, Khim.Fiz., 1998, 17, 80 [Chem. Phys. Rep. (Engl. Transl.), 1998, 17, 105].

123. Nikolai M. Rubtsov, Boris S. Seplyarskii, Kirill Ya. Troshin, Georgii I. Tsvetkov and Victor I. Chernysh, High-speed colour cinematography of the spontaneous ignition of propane–air and n-pentane–air mixtures, Mendeleev Commun., 2011, 21, 31-33.

124. Ahmed E.E.Khalil and Ashwani K.Gupta, Dual Injection distributed Combustion for Gas Turbine application, J.Energy Resources Technol, 2013, 136, 011601.

125. Ahmed E.E.Khalil, Ashwani K.Gupta, Kenneth M. Bryden and Sang C.Lee, Mixture preparation effects on distributed Combustion for Gas Turbine application, J.Energy Resources Technol, 2012, 134, 032201.

126. Kalinin A. P., Orlov A. G., Rodionov A. I., Troshin K.Ya., Demonstration of the possibility of studying combustion and explosion processes using remote hyperspectral sensing, Physicochemical kinetics in gas dynamics, www.chemphys .edu.ru / pdf / 2009-06-18-001.pdf

127. Vinogradov A. N., Yegorov V. V., Kalinin A. P., Melnikova E. M., Rodionov A. I., Rodionov I. D. Line of hyperspectral optical sensors Preprint SRI RAN Pr-2176, 2015.16 p.

128. N. M. Rubtsov, A. N. Vinogradov, A. P. Kalinin, A. I. Rodionov, K. Ya. Troshin, G. I. Tsvetkov, Establishing the Regularities of the Propagation of an Unstable Flame Front by the Methods of Optical 3D Spectroscopy and Color High-Speed Filming, Ishlinsky Institute for Problems in Mechanics RAS, Preprint No. 1097, 2015.

129. N.M.Rubtsov, B.S.Seplyarsky, G.I.Tsvetkov, V.I.Chernysh, Influence of inert additives on the time of formation of steady spherical fronts of laminar flames of mixtures of natural gas and isobutylene with oxygen under spark initiation, Mendeleev Communications, 2009, V.19, P.15.

130. Nikolai M. Rubtsov, Boris S. Seplyarskii, Kirill Ya. Troshin, Victor I. Chernysh and Georgii I. Tsvetkov, Initiation and propagation of laminar spherical flames at atmospheric pressure, Mendeleev Commun., 2011, 21, 218-220.

131. Pierse, R., Gaydon, A., The identification of molecular spectra, 1941, N.-Y., London, Acad. Press, 240 R.

132. T. Icitaga, Emission spectrum of the oxy-hydrogen flame and its reaction mechanism. (1) Formation of the Activated Water Molecule in Higher Vibrational States. The Review of Physical Chemistry of Japan Vol. 13f, No. 2 (1939), P. 96-107.

133. P. Stamatoglou, Spectral Analysis of Flame Emission for Optimization Of Combustion Devices on Marine Vessels, Master of Science Thesis, Department of Physics, Lund University, Kockumation Group, Malmö(Sweden), May 2014

134. NIST Atomic Spectra Database http://physics.nist.gov/ PhysRefData/ASD/ lines_form. html

135. B. Lewis, G. Von Elbe, Combustion, Explosions and Flame in Gases, New York, London.: Acad.Press, 1987, 566 P.

136. V. M. Maltsev, M. I. Maltsev, L. Y. Kashporov, Axial combustion characteristics, M:, Chemistry, 1977, 320 p.

137. N.Hamoushe, Trace element analysis in aluminium alloys, Alcan International Limited, Quebec, Canada, http://www.riotintoalcan.com/ENG/media/76.asp

138. Constructional materials, p/r B. I. Arzamasov, M:, Mechanical Engineering, 1990, 360 P.

139. W. Meyerriecks and K. L. Kosanke, Color Values and Spectra of the Principal Emitters in Colored Flames, Journal of Pyrotechnics, 2003, No. 18, R. 720 - 731.

140. S. G. Saytzev and R. I. Soloukhin, "Proceedings of the 8th symposium (International) on combustion," in California Institute of Technology Pasadenia, California, (The Combust. Inst., Pittsburgh, PA), 1962, p. 2771.

141. R.K.Eckhoff, Dust Explosions in the Process Industries, 2nd edn., Butterworth-Heinemann, Oxford, 1997.

142. J. C. Livengood and W. A. Leary, "Autoignition by rapid compression," Industrial and Engin. Chem., 1951, 43, 2797.

143. T. C. Germann, W. H. Miller, Quantum mechanical pressure dependent reaction and recombination rates for OH + O →O2 + H, J. Phys. Chem. A: 1997, V.101, P.6358-6367.

144. Frank-Kamenetsky D. A., Diffusion and heat transfer in chemical kinetics. Publishing house "Nauka", 1967, 489 p.

145. S.Chakraborty, A.Mukhopadhyay, S.Sen, International Journal of Thermal Sciences, 2008, 47, 84.

146. G.K. Hargrave, S.J. Jarvis, and T.C. Williams, Meas. Sci. Technol., 2002, 13, 1036.

147. V. Polezhaev, S. Nikitin, Thermoacoustics and heat transfer in an enclosure induced by a wall heating , 16th International Congress on Sound and Vibration, Kraków, Poland, 5–9 July 2009, p.2-8

148. I.O. Moen, M.Donato, R. Knystautas and J.H. Lee, Combust.Flame, 1980, 39, 21.

149. S.S. Ibrahim and A.R. Masri, J. Loss Prev. in the Process Ind., 2001, 14, 213.

150. G.D. Salamandra, T.V.Bazhenova, I.M.Naboko, Zhurnal Technicheskoi fiziki, 1959, 29, 1354 (in Russian).

151. N. Ardey, F. Mayinger, Highly turbulent hydrogen flames, Proc. of the 1st Trabson Int. Energy and Environment Symp., Karadeniz Techn.Univ., Trabson,Turkey, 1996. 679

152. B.Durst, N. Ardey, F. Mayinger, OECD/NEA/CSNI Workshop on the Implementation of Hydrogen Mitigation Techniques, Winnipeg, Manitoba. 1996, AECL-11762, 433.

153. M.Jourdan, N. Ardey, F. Mayinger and M.Carcassi, Influence of turbulence on the deflagrative flame propagation in lean premixed hydrogen air mixtures, Heat Transfer, Proceedings of 11th IHTC, Kuongju, Korea, 1998, 7, 295.

154. Gussak L.A., Turkish M.C. LAG Stratiff. Charge Engines, 1 Mech. Conference Publication. London, 1976, 137.

155. Naboko I. M., Rubtsov N. M., Seplyarsky B. S., Troshin K.Ya., Tsvetkov G.I., Chernysh V. I., Modes of flame propagation during combustion of lean hydrogen-air mixtures in the presence of additives under conditions of central initiation at atmospheric pressure, "Physical-Chemical kinetics in gas dynamics", 2012. Volume 13, URL: http://www.chemphys.edu.ru/pdf/2012-11-02-001.pdf P .1-17

156. I. M. Naboko, N. M. Rubtsov, B. S. Seplyarskii and V. I. Chernysh, Interaction of Spherical Flames of Hydrogen-Air and Methane-Air Mixtures in the Closed Reactor at the Central Spark Initiation with Closed Meshed Obstacles, J Aeronaut Aerospace Eng, 2013, 2:5, http://dx.doi.org/10.4172/2168-9792.1000127.

157. N.M. Rubtsov, The Modes of Gaseous Combustion, Springer International Publishing, 2016, 302 R.

158. Ideya M. Naboko, Nikolai M. Rubtsov, Boris S. Seplyarskii, Victor I. Chernysh and Georgii I. Tsvetkov, Influence of an acoustic resonator on flame propagation regimes in spark initiated H2 combustion in cylindrical reactor in the vicinity of the lower detonation limit, Mendeleev Commun., 2013, 23, 163.

159. Thomas Alasard, Low Mach number limit of the full Navier-Stokes equations, Archive for Rational Mechanics and Analysis 180 (2006), no. 1, 1-73.

160. F. Nicoud, Conservative High-Order Finite-Difference Schemes for Low-Mach Number Flows.

161. V.Akkerman, V.Bychkov, A.Petchenko, L.-E. Eriksson, Flame oscillations in tubes with nonslip at the walls, Combustion and Flame, 2006, V.145. P.675-687.

162. A.Majda, Compressible fluid flow and systems of conservation laws in severalspace variables, Applied Mathematical Sciences, vol. 53, Springer-Verlag, New York, 1984.

163. D. I. Abugov, V. M. Bobylev, Theory and calculation of solid fuel rocket engines, M: Mechanical engineering, 1987, 271 P.

164. Clavin, P. Premixed combustion and gasdynamics. Ann. Rev. Fluid Mech. 1994, 26, 321-352.

165. C. Clanet, G. Searby and P. Clavin, Primary acoustic instability of flames propagating in tubes: cases of spray and premixed gas combustion, J. Fluid Mech.,1999, 385, 157.

166. B. Lewis, G. Von Elbe, Combustion, Explosions and Flame in Gases, New York, London.: Acad.Press, 1987, P.566.

167. Kampen, J. F. van, Acoustic pressure oscillations induced by confined turbulent premixed natural gas flames, PhD thesis, University of Twente, Enschede, The Netherlands, March 2006, ISBN 90-365-2277-3, Printed by Febodruk BV, Enschede, The Netherlands.

168. G. Backstrom, Simple Fields of Physics by Finite Element Analysis (Paperback), GB Publishing (2005), P 324.

169. Omar D. Lopez, Robert Moser and Ofodike A. Ezekoye, High-Order Finite Difference Scheme For The Numerical Solution Of The Low Mach-Number Equations. Mecánica Computacional, 2006, XXV, 1127.

170. N. M. Rubtsov, B.S. Seplyarskii, I. M. Naboko, V.I. Chernysh, G.I. Tsvetkov and K.Ya. Troshin, Non-steady propagation of single and counter flames in hydrogen–oxygen and natural gas–oxygen mixtures in closed cylindrical vessels with spark initiation in initially motionless gas, Mendeleev Commun., 2014, 24, 163.

171. Griffiths J.F., Barnard J.A. , Flame and Combustion, 1995, 3rd Edition, CRC Press, 328 P.

172. Abdel-Gayed R. G., Bradley D., Criteria for turbulent propagation limits of premixed flames.1985, Combust. Flame, 62, 61.

173. Bradley D.; Abdel-Gayed R.G.; Lung F.K.-K.. , Combustion regimes and the straining of turbulent premixed flames, 1989, Combust. Flame, 76, 213.

174. Melvin R. Baer and Robert J. Gross, 2001, SANDIA REPORT, Sandia National Laboratories Albuquerque, New Mexico 87185 and Livermore, California 94550.

175. Nickolai M.Rubtsov, Boris S.Seplyarskii, Kirill Ya.Troshin, Victor I.Chrenysh, Georgii I.Tsvetkov, Initiation and propagation of laminar spherical flames at atmospheric pressure // Mendeleev Comm., 2011, T.21, P.218-221.

176. Naboko I.M., Rubcov N.M., Seplyarskiy B.S., Cvetkov G.I., Chernysh V.I. Vozniknovenie termoakusticheskoy neustoychivosti v vodorodo- vozdushnyh smesyah v zamknutom reaktore pri central'nom iniciirovanii iskrovym razryadom//Fiziko-himicheskaya kinetika v gazovoy dinamike. 2011. Tom 12, URL: http://www.chemphys.edu.ru/pdf/2011-12-23-002.pdf

177. Erin Richardson, An experimental study of unconfined hydrogen –oxygen and hydrogen-air explosions, https://ntrs.nasa.gov/search.jsp?R=20150002596 2018-09-27T16:35:29+00:00Z

178. Ya. B. Zeldovich, A. S. Sompaneets, Detonation Theory, Moscow.: Gostechizdat, 1955, 268 P. (in Russian).

179. J.E. Shepherd, Detonation in gases Proceedings of the Combustion Institute, 2009, V.32, P. 83–98.

180. Stephen B. Murray, Fundamental and Applied Studies of Fuel-Air Detonation - A Quarter Century of Large-Scale Testing at DRDC Suffield (Stephen. Murray @ drdc-rddc.gc.ca), 2010, DRDC Suffield, P.O. Box 4000, Station Main, Medicine Hat, Alberta, Canada T1A 8K6

181. Steven A. Orzag and Lawrence C. Kellst, J. Fluid Mech., 1980, 96, 159.

182. Saric W.S., Reed H.L., Kerschen E.J., Annu. Rev. Fluid Mech., 2002, 34, 291.

183. S.S. Ibrahim and A.R. Masri, J. Loss Prev. in the Process Ind., 2001, 14, 213.

184. C. Clanet and G. Searby, Combustion and flame, 1996, 105, 225.

185. N. M. Rubtsov, B. S. Seplyarskii V. I. Chernysh and G.I.Tsvetkov, International Journal of Chemistry and Materials Research, 2014, 2,102, http://pakinsight.com/?ic=journal&journal=64

186. G. N. Abramovich, Teorija turbulentnych struj (The theory of turbulent flows), 1960, Moscow, Ekolit, reprint, 2011 (in Russian).

187. V.V.Lemanov, V.I.Terechov, K.A, Sharov, A.A.Shumeiko, JETP Letters, 2013, 39, 89 (Pis'ma v ZhETF, 2013, 39, 34).

188. F. Durst, K. Haddad, O. Ertun, in Advances in Turbulence ed. Prof. B. Erkhardt, Proceedings of the 12th Euromech European Turbulence Conference September 7-10 Marburg Germany, Springer Publishing, 160.

189. Vinogradov A. N., Yegorov V. V., Kalinin A. P., Melnikova E. M., Rodionov A. I., Rodionov I. D. Line of hyperspectral optical sensors Preprint SRI RAN Pr-2176, 2015.16 p.

190. N. M. Rubtsov, A. N. Vinogradov, A. P. Kalinin, A. I. Rodionov, K. Ya. Troshin, G. I. Tsvetkov, Establishing the Regularities of the Propagation of an Unstable Flame Front by the Methods of Optical 3D Spectroscopy and Color High-Speed Filming, IPMech RAS, Preprint No. 1097, 2015.

191. Nickolai M.Rubtsov, Boris S.Seplyarskii, Kirill Ya.Troshin, Victor I.Chrenysh, Georgii I.Tsvetkov, Initiation and propagation of laminar spherical flames at atmospheric pressure // Mendeleev Comm., 2011, T.21, P.218-221.

192. Coheur P.-F., Bernath P.F., Carleer M., Colin R., et al. A 3000 K laboratory emission spectrum of water, The Journal of Chemical Physics. 2005. 122. 074307

193. Herzberg G. Molecular Spectra and Molecular Structure. Vol. 1, Spectra of Diatomic Molecules. 2nd edn. Van Nostrand. New York. 1950.

194. Kreshkov A. P. Fundamentals of analytical chemistry. Theoretical basis. Qualitative analysis, 1970, M:; Publishing house "Khimiya", V. 3.

195. Davy H. Some new experiments and observations on the combustion of gaseous mixtures, with an account of a method of preserving a continuous light in mixtures of inflammable gases and air without flame. 1817, Phil. Trans. R. Soc. Lond. A v. 107, P.77-100.(magazine ? )

196. Lee J. H. and Trimm D. L. Catalytic combustion of methane, Fuel Processing Technology, 1995, v.42. P.339-355.

197. Deutschmann, O., Maier, L. I., Riedel, U.et al. Hydrogen assisted catalytic combustion of methane on platinum. Catalysis Today. 2000. V.59, P.141-165.

198. Lyubovsky M., Karim H., Menacherry P. et al. Complete and partial catalytic oxidation of methane over substrates with enhanced transport properties. Catalysis Today. 2003. V.83. P. 183-201.

199. Salomons S., Hayes R. E., Poirier M. et al. Flow reversal reactor for the catalytic combustion of lean methane mixtures. Catalysis Today. 2003. v.83. P. 59-75.

200. Lampert J. K., Kazia M. S., and Farrauto, R. J. Palladium catalyst performance for methane emissions abatement from lean burn natural gas vehicles. //Applied catalysis B: Environmental. 1997. v. 14, P. 211-230.

201. IAEA SAFETY STANDARDS SERIES. Design of Reactor Containment Systems for Nuclear Power Plants SAFETY GUIDE No. NS-G-1.10, 2004.

202. Frennet A. Chemisorption and exchange with deuterium of methane on metals. // Catal. Rev.- Sci.Eng. 1974. v. 10. P. 37-51.

203. Cullis C.F., Willatt B.M. Oxidation of methane over supported precious metal catalysts. // Journal of Catalysis. 1983. v. 83, P. 267-281.

204. Hicks R.F., Qi H., Young M.L. and Lee, R.G. Structure sensitivity of methane oxidation over platinum and palladium. // Journal of Catalysis. 1990. v.122. P. 280-291.

205. Hayes R.E, Kolaczkowskii S., Lib P., Awdryb S., The palladium catalyzed oxidation of methane: reaction kinetics and the effect of diffusion barriers, Chemical Engineering Science, 2001. v. 56. P. 4815-4830.

206. S. Choudhury, R. Sasikala, V. Saxena, D. Kumar-Aswalb and D. Bhattacharyac, A new route for the fabrication of an ultrathin film of a PdO–TiO2 composite photocatalyst, Dalton Trans. 2012, 41, 12090-12095.

207. P.O. Nilsson and M.S. Shivaraman. Optical properties of PdO in the range of 0.5–5.4 eV. J. Phys. C: Solid State Phys. 12, 1423-1427 (1979).

208. F. Ling, O. Chika Anthony, Q. Xiong, M. Luo,X. Pan, L. Jia, J. Huang, D. Sun, Q. Li. PdO/LaCoO3 heterojunction photocatalysts for highly hydrogen production from formaldehyde aqueous solution under visible light,International journal o f hydrogen energy 41, 6115-6122, (2016).

209. S.Diaz, M.L.Valenzuela, C.Rios and M.Segovia, Oxidation facility by a temperature dependence on the noble metals nanostructured M°/MxOy phase products using a solid state method: the case of Pd, J. Chil. Chem. Soc., 2016, 61 no.4, http://dx.doi.org/10.4067/S0717-97072016000400024

210. Rodionov I. D., Rodionov A. I., Vedeshin L. A., Vinogradov A. N., Yegorov V. V., Kalinin A. P., Aviation hyperspectral complexes for solving problems of remote sensing. Exploration of the Earth from space 2013. №6. P. 81; Rodionov I. D., Rodionov A. I., Vedeshin L. A., Yegorov V. V., Kalinin A. P. , Izvestija, Atmospheric and Oceanic Physics. 2014. V. 50. No. 9. 2014. P. 983.

211. Vinogradov A. N., Yegorov V. V., Kalinin A. P., Rodionov A. I., Rodionov I. D. // Optical instrument engineering. 2016. Vol. 83. No. 4. P. 54.

212. Kalinin A. P., Orlov A. G., Rodionov A. I., Troshin K.Ya. Demonstration of the possibility of studying combustion and explosion processes using remote hyperspectral sensing // Physicochemical kinetics in gas dynamics. 2009. V. 8. [Electronic resource] Access mode: http://chemphys.edu.ru/issues/2009-8/articles/202/.

213. Nikolai M. Rubtsov, Boris S. Seplyarskii, Kirill Ya. Troshin, Victor I. Chernysh and Georgii I. Tsvetkov, Mendeleev Commun. 2012, V. 22. P. 222.

214. Nikolai M. Rubtsov, Boris S. Seplyarskii, Kirill Ya. Troshin, Georgii I. Tsvetkov and Victor I. Chernysh High-speed colour cinematography of the spontaneous ignition of propane–air and n-pentane–air mixtures,  Mendeleev Communications 2011, 21, 31-33.

215. Nikolai M. Rubtsov , Victor I. Chernysh, Georgii I. Tsvetkov, Kirill Ya. Troshin, Igor O. Shamshin, Ignition of hydrogen–air mixtures over Pt at atmospheric pressure, Mendeleev Communications, 2017, 27, 307-309.

216. Nikolai M. Rubtsov, Alexey N. Vinogradov, Alexander P. Kalinin, Alexey I. Rodionov, Victor I. Chernysh, Cellular combustion and delay periods of ignition of a nearly stoichiometric H2–air mixture over a platinum surface, Mendeleev Communications, 2016, 160-162.

217. K.L. Cashdollar, I.A. Zlochower, G.M. Green, R.A. Thomas and M.Hertzberg, Journal of Loss Prevention in the Process Industries, 2000. V.13, N3-5, P.327-340.

218. Lewis B., Von Elbe G., Combustion, Explosions and Flame in Gases. New York, London. Acad. Press. 1987.

219. S.M.Repinski, Vvedenie v himicheskuyu fiziky poverhnosti tvyordych tel (Introduction into chemical physics of the surface of solids), Novosibirsk:; “Nauka”, Sibir publishing company, 1993 (in Russian).

220. M. Johansson, E. Skulason, G. Nielsen, S. Murphy, R.M. Nielsen, I. Chorkendorff, A systematic DFT study of hydrogen diffusion on transition metal surfaces. Surface Science, 2010, 604, 718.

221. Rothman L.S., Gordon I.E., Babikov Y., Barbe A., Chris Benner D., et al. The HITRAN 2012 Molecular Spectroscopic Database//Journal of Quantitative Spectroscopy & Radiative Transfer. 2013. 130. P. 4-50

222. N. M. Rubtsov, A. N. Vinogradov, A. P. Kalinin, A. I. Rodionov, I. D. Rodionov, K. Ya. Troshin, G. I. Tsvetkov, V. I. Chernysh, The use of a high-speed optical multidimensional technique for establishing the characteristics of ignition and combustion of a 40% H2 - air mixture in the presence of platinum metal, Physical and chemical kinetics in gas dynamics 2016 Vol.17 (1) http://chemphys.edu.ru/issues/ 2016-17-1 / articles / 615 /.

223. R.G. Stützer, S. Kraus, M. Oschwald, Characterization of Light Deflection on Hot Exhaust Gas for a LIDAR Feasibility Study, May 2014 Conference 4th Space Propulsion 2014, https://www.researchgate.net/publication/263586493.

224. T. Icitaga, Emission spectrum of the oxy-hydrogen flame and its reaction mechanism. (1) Formation of the Activated Water Molecule in Higher Vibrational States. The Review of Physical Chemistry of Japan Vol. 13f, No. 2 (1939), Pp. 96‒107.

225. N.M.Rubtsov, V.I.Chernysh, G.I.Tsvetkov, K.Ya.Troshin, I. O.Shamshin, A.P. Kalinin, The features of hydrogen ignition over Pt and Pd foils at low pressures Mendeleev Communications, 2018, 28, 216-218

226. Tang, C., Zhang, Y., Huang, Z ., (2014). Progress in combustion investigations of hydrogen enriched hydrocarbons, Renewable and Sustainable Energy Reviews, 30, 195–216.

227. Knyazkov, A., Shvartsberg, V.M., Dmitriev, A.M., Osipova, K.N., Shmakov, A.G., Korobeinichev, O.P., Burluka, A., (2017). Combustion Chemistry of Ternary Blends of Hydrogen and C1–C4 Hydrocarbons at Atmospheric Pressure, Combustion, Explosion, and Shock Waves, 53(5), 491–499.

228. Biswas, S., Tanvir, S., Wang, H., Qiao, L., 2016. On ignition mechanisms of premixed CH4/air and H2/air using a hot turbulent jet generated by pre-chamber combustion, Applied Thermal Engineering, 106, 925–937.

229. Cho, E.-S., & Chung, S. H., (2009). Improvement of flame stability and NOx reduction in hydrogen-added ultralean premixed combustion, Journal of Mechanical Science and Technology, 23, 650-658.

230. Razali, H., Sopian, K., Mat, S. (2015). Green fuel: 34% reduction of hydrocarbons via hydrogen (AL+HCl) blended with gasoline at maximum torque for motorcycle operation. ARPN Journal of Engineering and Applied Sciences, 10(17), 7780-7783.

231. Flores, R. M., McDonell, V. G., Samuelsen, G. S., (2003). Impact of Ethane and Propane Variation in Natural Gas on Performance of a Model Gas Turbine Combustor, J. Eng. Gas Turbines Power, 125, 701–708.

232. Hassan, H., & Khandelwal, B., (2014). Reforming Technologies to Improve the Performance of Combustion Systems, Aerospace, 1, 67-96.

233. Xiong, H., Wiebenga, M. H., Carrillo, C., Gaudet, J. R., Pham, H.N. , Kunwar, D., et.al (2018). Design considerations for low-temperature hydrocarbon oxidation reactions on Pd based catalysts, Applied Catalysis B: Environmental, 236 (15), 436-444.

234. Persson, K., Pfefferle, L.D., Schwartz, W., Ersson, A., Jaras, S.G., (2007). Stability of palladium-based catalysts during catalytic combustion of methane: The influence of water, Applied Catalysis B: Environmental, 74, 242–250.

235. Rubtsov, N.M., Chernysh, V.I., Tsvetkov, G.I., Troshin, K.Ya., Shamshin I.O., (2019). Ignition of hydrogen-methane-air mixtures over Pd foil at atmospheric pressure, Mendeleev Commun., 2019, 29, (in press).

236. Rubtsov, N.M. (2016), The Modes of Gaseous Combustion, Cham, Switzerland, Springer International Publishing.

237. Markstein, G. H., (1949). Cell structure of propane flames burning in tubes, The Journal of Chemical Physics, 17, 428.

238. Zeldovich, Ya. B., (1944). Theory of Combustion and Detonation in Gases, Moscow, Acad. Sci. USSR, (in Russian).

239. Kreshkov A. P. Osnovy analiticheskoy himii. Teoreticheskie osnovy. Kachestvennyy analiz, 1970, M:; Izd-vo “Himiya”, T.3.

240. Nikolai M.Rubtsov, Alexey N.Vinogradov, Alexander P.Kalinin,Alexey I.Rodionov, Kirill Ya.Troshin,Georgii I.Tsvetkov,Victor I.Chernysh, Gas dynamics and kinetics of the penetration of methane–oxygen flames through complex obstacles, as studied by 3D spectroscopy and high-speed cinematography, Mendeleev Communications, 2017, 27, 192-194.

241. Ideya M. Naboko, Nikolai M. Rubtsov, Boris S. Seplyarskii, Kirill Ya. Troshin, Victor I. Chernysh, Cellular combustion at the transition of a spherical flame front to a flat front at the initiated ignition of methane–air, methane–oxygen and n-pentane–air mixtures, Mendeleev Communications, 2013, 23, 358-360.

242. M.Fisher, Safety aspects of hydrogen combustion in hydrogen energy systems, Int. J. Hydrogen Energy, 1986, 11, 593-601.

243. A.B.Welch and J.S.Wallace, Performance characteristics of a hydrogen-fueled diesel engine, SAE Paper 902070.

244. R.K.Kumar, Ignition of hydrogen-oxygen- diluent mixtures adjacent to a hot, non-reactive surface, Combustion and Flame, 1989, 197-215.

245. R.S.Silver, The ignition of gaseous mixture by hot particles, Phil. Mag. J.Sci., 1937, 23, 633-657.

246. K.B.Brady, Ignition Propensity of hydrogen/air mixtures in the presence of heated platinum surfaces, Master of Science Thesis, Department of Mechanical and Aerospace Engineering, Case Western Reserve University, January, 2010 .

247. Rinnemo, M., et al., Experimental and numerical investigation of the catalytic ignition of mixtures of hydrogen and oxygen on platinum. Combustion and Flame, 1997, 111, 312-326.

248. S.K. Menon, P.A. Boettcher, B.Ventura, G. Blanquart and J.E. Shepherd, Investigation of hot surface ignition of a flammable mixture, Western States Section of the Combustion Institute (WSSCI), 2012, Arizona University, Tempe, Paper # 12S-39.

249. Dong-Joon Kim, Ignition Temperature of Hydrogen/Air Mixture by Hot Wire in Pipeline, Fire Sci. Eng., 2014, 28, No. 4, 8-13.

250. Tables of Physical Values, handbook, ed. I. K.Kikoin, Atomizdat, Moscow, 1976, p. 1007 (in Russian).

251. Marchuk G.I. Methods of computational mathematics, Moscow; Nauka, 1989, 608 p. (in Russian).

252. Rubtsov N. M., Kotelkin V. D., Karpov V. P., Transition of flame propagation from isothermal to chain-thermal mode in chain processes with nonlinear branching of chains, Kinetics and Catalysis, 2004, Vol. 45, P. 3.

253. N. N. Semenov, O nekotorykh problemakh khimicheskoi kinetiki i reaktsionnoi sposobnosti (On Some Problems of Chemical Kinetics and Reactivity), 2nd edn., AN SSSR, Moscow, 1958 (in Russian).

254. D.C.Montgomery, E.A.Peck, G.G.Vining, Introduction to linear regression analysis, 5 th ed., John Wiley@Sons Inc., Wiley Series in probability and statistics, Hoboken, New Jersey, US, 2012, 659 P.

255. Rubtsov N. M., Seplyarsky B. S., Alymov M. I. Critical Phenomena and Dimensional Effects in Autowave Processes with Exothermic Reactions. Saratov: Publishing House "KUBiK", 2019, 338 p. ISBN 978-5-91818-595-7.

256. B.S. Seplyarsky, T. P. Ivleva, M. I. Alymov. Macrokinetic analysis of the process of passivation of pyrophoric powders. Reports of the Academy of Sciences. Physical chemistry. 2018. Vol. 478, No. 3, pp. 310-314.

257. Michail I. Alymov, Nikolai M. Rubtsov, Boris S. Seplyarskii, V.A.Zelensky, A.B.Ankudinov, The Method of Preparation of Ni Nanopowders with Controlled Mean Specific Surface and Pyrophoricity, UNITED JOURNAL OF CHEMISTRY www.unitedjchem.org, 2018, Vol. 01, No.(1): Pg. 82-91.

258. P. Zijlstra, M. Orrit, Single metal nanoparticles: optical detection, spectroscopy and applications, Reports on Progress in Physics, 2011, 74, 106401.

259. A. Kamyshny, J. Steinke, S. Magdassi, Metal-based inkjet inks for printed electronics, Open Applied Physics J., 2011, 4, 19.

260. R. Gréget, G.L. Nealon, B. Vileno, P. Turek, C. Mény, F. Ott, A. Derory, E. Voirin, E. Rivière, A. Rogalev, Magnetic properties of gold nanoparticles: a room-temperature quantum effect, ChemPhysChem, 2012, 13, 3092.

261. R.R. Letfullin, C.B. Iversen, T.F. George, Modeling nanophotothermal therapy: kinetics of thermal ablation of healthy and cancerous cell organelles and gold nanoparticles, Nanomedicine: Nanotech., Bio. and Med., 2011, 7, 137.

262. Wei, Y.; Chen, S.; Kowalczyk, B.; Huda, S.; Gray, T. P.; Grzybowski, B. A. , 2010, Synthesis of stable, low-dispersity copper nanoparticles and nanorods and theirantifungal and catalytic properties, J. Phys. Chem. C. 114, 15612.

263. Ramyadevi, J.; Jeyasubramanian, K.; Marikani, A.; Rajakumar, G.; Rahuman, A. A. , 2012, Synthesis and antimicrobial activity of copper nanoparticles, Mater. Lett. 71: 114.

264. Dhas, N.A.; Raj, C.P.; Gedanken, A. , Synthesis, Characterization, and Properties of Metallic Copper Nanoparticles, 1998, Chem. Mater., 10, 1446.

265. H. Hashemipour, M.E. Zadeh, R. Pourakbari, P. Rahimi, Inter. J. of Physical Sciences, Investigation on synthesis and size control of copper nanoparticle via electrochemical and chemical reduction method, 2011, 6, 4331.

266. M. Salavati-Niasari, F. Davar, Synthesis of copper and copper (I) oxide nanoparticles by thermal decomposition of a new precursor, Materials Letters, 2009, 63, 441.

267. B.K. Park, D. Kim, S. Jeong, J. Moon, J.S. Kim, Direct writing of copper conductive patterns by ink-jet printing, Thin Solid Films, 2007, 515, 7706.

268. E. Egorova, A. Revina, Synthesis of metallic nanoparticles in reverse micelles in the presence of quercetin, Colloids and Surfaces A: Physicochem. and Eng. Aspects, 2000, 168, 87.

269. R. Zhou, X. Wu, X. Hao, F. Zhou, H. Li, W. Rao, Oxidation of Copper Nanoparticles Protected with Different Coatings, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2008, 266, 599.

270. J.N. Solanki, R. Sengupta, Z. Murthy, Synthesis of Copper Nanoparticles, Solid State Sciences, 2010, 12, 1560. 17 L. Francis, A.S. Nair, R. Jose, S. Ramakrishna, V. Thavasi and E. Marsano, Fabrication and characterization of dye-sensitized solar cells from rutile nanofibers and nanorods, Energy, 36, 627-632, (2011)

271. K. Tian, C. Liu, H. Yang, X. Ren, Sensors and Actuators of transition metal elements, Colloids and Surfaces A: Physicochem. and Eng. Aspects, 2012, 397, 12.

272. Michail I. Alymov, Nikolai M. Rubtsov, Boris S. Seplyarskii, Victor A. Zelensky and Alexey B. Ankudinov, Temporal characteristics of ignition and combustion of iron nanopowders in the air, Mendeleev Commun., 2016, 26, 452.

273. Thomas M.Gorrie, Peter W.Kopf and Sidney Toby, Kinetics of the reaction of some pyrophoric metals with oxygen, J.Phys.Chem., 1967, 71, 3842.

274. B.K. Sharma, Objective Question Bank in Chemistry, Krishns Prakashan Media Ltd., India, 2009, 488 P. 22. https://www.nanoshel.com/topics/nanoshel-llc-news/

275. A. G. Gnedovets, A. B. Ankudinov, V. A. Zelenskii, E. P. Kovalev, H. Wisniewska_Weinert, and M. I. Alymov, Perspektivnye Materialy, 2015, 12, 62 [Inorganic Materials: Applied Research, 2016, 7, 303] (in Russian).

276. W. R. Morcom W. L. Worrell H. G. Sell H. I. Kaplan The preparation and characterization of beta-tungsten, a metastable tungsten phase, Metallurgical Transactions,January 1974, 5:155,

277. Žutić, J. Fabian, and S. Das Sarma, Spintronics: Fundamentals and Applications, Rev. Mod. Phys. 76, 323 (2004).

278. S. A. Wolf, D. D. Awschalom, R. A. Buhrman, J. M. Daughton, S. von Molnár, M. L. Roukes, A. Y. Chtchelkanova, and D. M. Treger, Spintronics: A Spin-Based Electronics Vision for the Future, Science 294, 1488 (2001)

279. M. Johnson and R. H. Silsbee, Interfacial Charge-Spin Coupling: Injection and Detection of Spin Magnetization in Metals, Phys. Rev. Lett. 55, 1790 (1985).

280. T. Jungwirth, J. Wunderlich, and K. Olejnik, Spin Hall Effect Devices, Nat. Mater. 11, 382 (2012).

281. C. F. Pai, L. Liu, Y. Li, H. W. Tseng, D. C. Ralph, and R. A. Buhrman, Spin Transfer Torque Devices Utilizing the Giant Spin Hall Effect of Tungsten, Appl. Phys. Lett. 101, 122404 (2012).

282. Q. Hao, W. Chen, and G. Xiao, Beta (β) Tungsten Thin Films: Structure, Electron Transport, and Giant Spin Hall Effect, Appl. Phys. Lett. 106, 182403 (2015).

283. G. Hägg and N. Schönberg, 'β-Tungsten' as a Tungsten Oxide, Acta Crystallogr. 7, 351 (1954).

284. P. Petroff, T. T. Sheng, A. K. Sinha, G. A. Rozgonyi, and F. B. Alexander, Microstructure, Growth, Resistivity, and Stresses in Thin Tungsten Films Deposited by RF Sputtering, J. Appl. Phys. 44, 2545 (1973).

285. Erik Lassner and Wolf-Dieter Schubert, Tungsten Properties, Chemistry, Technology of the Element, Alloys, and Chemical Compounds, 1998, Kluwer Academic / Plenum Publishers New York, Boston, Dordrecht, London, Moscow, 447 P.

286. Michail I. Alymov, Nikolai M. Rubtsov, Boris S. Seplyarskii,Victor A. Zelensky and Alexey B. Ankudinov, Passivation of iron nanoparticles at subzero temperatures, Mendeleev Commun., 2017, 27, 482-484.

287. Florin Saceleanu, Mahmoud Idir, Nabiha Chaumeix and John Z. Wen, Combustion Characteristics of Physically Mixed 40 nm Aluminum/Copper Oxide Nanothermites Using Laser Ignition, Frontiers in Chemistry, original research published: 09 October 2018, doi: 10.3389/fchem.2018.00465.

288. Alexander A. Gromov, Ulrich Teipel, Metal Nanopowders: Production, Characterization, and Energetic Applications, 2014, John Wiley & Sons, 417 P.

289. Michail I.Alymov, Nikolai M. Rubtsov, Boris S. Seplyarskii, Victor A. Zelensky, Alexey B. Ankudinov, Temporal characteristics of ignition and combustion of iron nanopowders in the air, Mendeleev Commun., 2016, V.26,452-454.

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