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The problem of radiative heat transfer in a nonisothermal medium is considered. The analysis is carried out for a plane parallel atmosphere separated by a cloud of particles which scatters radiant energy in an anisotropic fashion. Linear and isothermal temperature profiles are compared for enclosures with partially reflecting diffuse boundaries. The solutions are obtained by representing the integral term of the radiative transport equation by a quadrature. The resulting set of nonhomogeneous differential equations are solved utilizing the method of idempotents.

This report is a continuation of a study of the effects of internal heat transfer on the temperature of hollow spacecraft and the requirements for thermal modeling. Considered herein is the effect of internal heat transfer by radiation on the temperature distribution. The equation governing the heat transfer of a spherical shell exposed to parallel radiation is derived; conduction and radiation are considered. The general equation is simplified by assuming steady state, and a numerical method is given to solve the steady state equation. A computer program is described which employs the method. Solutions of the steady state equation are graphically presented and discussed. The requirements for temperature preservation in thermal modeling are derived. The possibility of thermal modeling without temperature preservation is discussed. It is observed that for an inside emissivity to outside emissivity ratio greater than one, the requirement for duplication of the other dimensionless ratio can be relaxed.

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