Maximal temperatures of gas, porous medium and velocity of stationary wave of filtration combustion of hydrogen-air mixture in the presence of heat losses
Abstract:
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.