Geodesic
Maximal temperatures of gas, porous medium and velocity of stationary wave of filtration combustion of hydrogen-air mixture in the presence of heat losses
Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 2, pp. 240-246

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The results of the theoretical study of the maximum temperature of gas, porous medium and speed of the stationary wave of filtration combustion of hydrogen-air mixture under heat losses are presented. The study of the above-mentioned parameters was carried out both on the basis of the numerical method of solving the system of differential equations describing the stationary mode of wave propagation, and with the help of analytical dependences derived by considering the equivalent mathematical model of FCG in the presence of heat losses. Identity of the values of the stationary wave velocity calculated by the formula and numerical Runge — Kutta method for different compositions and speed of mixture blowing gives a basis for the reliability of the results of the study. The results of the analysis of numerical calculation of temperatures distribution in the combustion wave show that at relatively small diameters of porous medium particles, less than 1 mm, and blowing velocity up to 5 m/s temperature profiles of porous medium and gas mixture do not differ, i. e. we have the one-temperature structure of the wave. Outside these limits, the temperatures of the phases in the combustion zone are significantly different, i. e. there is a difference between the temperature maxima of the solid and gas phases.
Keywords: filtration combustion, gas mixture, porous medium, velocity, stationary wave, maximum temperature, numerical method, analytical dependence. 
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     author = {M. M. Kabilov and P. B. Sadriddinov and Z. B. Shermatova},
     title = {Maximal temperatures of gas, porous medium and velocity of stationary wave of filtration combustion of hydrogen-air mixture in the presence of heat losses},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_2_a8/}
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M. M. Kabilov; P. B. Sadriddinov; Z. B. Shermatova. Maximal temperatures of gas, porous medium and velocity of stationary wave of filtration combustion of hydrogen-air mixture in the presence of heat losses. Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 2, pp. 240-246. http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_2_a8/