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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{CHFMJ_2024_9_2_a8,
     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},
     pages = {240--246},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_2_a8/}
}
TY  - JOUR
AU  - M. M. Kabilov
AU  - P. B. Sadriddinov
AU  - Z. B. Shermatova
TI  - Maximal temperatures of gas, porous medium and velocity of stationary wave of filtration combustion of hydrogen-air mixture in the presence of heat losses
JO  - Čelâbinskij fiziko-matematičeskij žurnal
PY  - 2024
SP  - 240
EP  - 246
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_2_a8/
LA  - ru
ID  - CHFMJ_2024_9_2_a8
ER  - 
%0 Journal Article
%A M. M. Kabilov
%A P. B. Sadriddinov
%A Z. B. Shermatova
%T Maximal temperatures of gas, porous medium and velocity of stationary wave of filtration combustion of hydrogen-air mixture in the presence of heat losses
%J Čelâbinskij fiziko-matematičeskij žurnal
%D 2024
%P 240-246
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_2_a8/
%G ru
%F CHFMJ_2024_9_2_a8
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/

[1] Kabilov M.M., Shermatova Z.B., “Equivalent mathematical model of filtration combustion of gases in the presence of heat losses”, Reports of the National Academy of Sciences of Tajikistan, 66:3–4 (2023), 187–195 (In Russ.)

[2] Kozlov Y.V., Zamashchikov V.V., Korzhavin A.A., “Transition processes in flame propagation in a closed vessel partially filled with a porous medium”, Combustion, Explosion and Shock Waves, 55:3 (2019), 258–266 | DOI

[3] Manzhos E.V., Kakutkina N.A., Korzhavin A.A., Rychkov A.D., Senachin P.K., “Ignition of a filtration gas combustion wave by a heated region of a porous medium”, Combustion, Explosion and Shock Waves, 55:6 (2019), 654–660 | DOI

[4] Salgansky E. A., Lutsenko N. A., “Numerical modeling of heterogeneous combustion with phase transitions in porous metal-containing media”, International Journal of Multiphase Flow, 140 (2021), 103670 | DOI | MR

[5] Borovik K.G., Lutsenko N.A., “Numerical Simulation of heterogeneous combustion of axisymmetric porous objects under forced filtration and natural convection”, Combustion, Explosion and Shock Waves, 58:3 (2022), 290–302 | DOI | DOI

[6] Potytnyakov S.I., Laevsky Yu.M., Babkin V.S., “Effect of heat losses on propagation of stationary waves in filtration combustion of gases”, Combustion, Explosion and Shock Waves, 20:1 (1984), 15–22 | DOI

[7] Babkin V.S., Laevsky Yu.M., “Seepage gas combustion”, Combustion, Explosion and Shock Waves, 23:5 (1987), 531–547 | DOI

[8] Dobrego K.V., Zhdanok S.A., Physics of filtration combustion of gases, Institute of Heat and Mass Transfer named after A.V. Lykov NASB, Minsk, 2002 (In Russ.)

[9] Kakutkina N.A., Rychkov D.A., “Modeling of unsteady filtration gas combustion”, Combustion, Explosion and Shock Waves, 46:3 (2010), 279–285 | DOI

[10] Kabilov M.M., Khalimov I.Kh., “Numerical study of the stationary structure of the wave of filtration combustion of gases in the presence of heat loss”, Reports of the Academy of Sciences of the Republic of Tajikistan, 56:4 (2013), 297–304 (In Russ.)

[11] Kakutkina N.A., Korzhavin A.A., Mbrava M., “Filtration combustion of hydrogen-air, propane-air, and methane-air mixtures in inert porous media”, Combustion, Explosion and Shock Waves, 42:4 (2006), 372–383 | DOI

[12] Kabilov M.M., “The influence of heat loss on the stability of stationary waves during filtration combustion of gases”, Reports of the Academy of Sciences of the Republic of Tajikistan, 37:3–4 (1994), 24–28 (In Russ.)