RADIANT HEAT EXCHANGE OF OPTICALLY THICK SPHERE SHELLS VIA A NEAR-TRANSPARENT HOT PLASMA LAYER

V. S. Imshennik
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1987. Вып.1. С. 29-39.

      In order to obtain efficient solutions of 1-D sphere-symmetry problems in radiation gas dynamics, where optically thick and thin material layers exist at the same time, a model is developed for radiant heat exchange in a multilayer system which consists of optically thick spheres with intermediate high- -temperature (hot) plasma layers. The model proposed describes a radiation transfer in optically thick layers using a well-known radiant heat conduction approximation. However, for heat conduction equations we derive integral boundary conditions including the effect of irradiating this layer with bulk radiation of optically thin plasma and degraded radiation of an optically thick neighbor layer (in combination with self-irradiation). For hot plasma, we formulate an effect of local material heating by the surface radiation of surrounding optically thick layers due to its absorption by plasma. The model equations satisfy energy conservation laws and correspond to the Kirchhoff’s law.