The Solution of the Transient Diffusion-Radiation Binary Gas mixture Problem in Low Pressure Values between Two Flat Plates at a Gray Medium

In this research, a transient two-component radiation-penetration problem is solved numerically. This study aims at investigating the effect of the radiated absorbing gas density in low pressures on the distribution of the ambient temperature in terms of the time, position, and the amount of heat transferred from the radiation environment in terms of the time in two modes of radiation equilibrium and constant temperature of the environment. MDOM was used to solve the radiation problem; while, the finite volume method was used to solve the transient time penetration problem. The problem was analyzed in two transient and steady states and it was observed that the time effect of density led to the time effects on the ambient temperature distribution with a radiated balance and the effects cannot be neglected. Furthermore, by taking into account the influence of the penetration coefficient as a function of temperature, the correlation of the penetration problem with the radiation results in the dependency of the adsorbent component density on the temperature, so that the effects of the density in terms of temperature cannot be ignored. The problem analysis shows that although the radiation equation can be solved in a steady manner for the time interval of interest, one cannot neglect its time effects due to changes in the density of adsorbing gas. This effect is higher in high-mass absorbing coefficients, emphasizing the importance of considering the penetration coefficient in terms of temperature.