Heating of an Anisotropic Insulation Layer with Hypersonic Flow Past a Spherical Blunting

Abstract

For spherical layer of insulation surface, we give a solution of the linear time-dependent heat transfer problem with axially symmetric distribution of the heat flux density over the layer exterior surface. The insulation material has anisotropic heat conduction properties characterized by the ratio of the thermal conductivities along and across the layer. The solution obtained is used for qualitative estimate of the effect of this ratio on the leveling of temperature distributions for non-uniform heating specific for conditions of an axially symmetric hypersonic flow past a hemispherical blunting.