Variational-iterative method for conductive-radiative heat transfer in spherical inhomogeneous medium

The coupled of conductive and radiative heat transfer in an inhomogeneous, anisotropically scattering gray medium contained in a spherical shell of diffusively reflecting boundaries having constant temperatures is considered. The variational method is used to solve the radiative problem using trial functions in terms of the Pomraning solution of the differential form of the free-source problem. The nonlinearity problem between the radiative transfer equation and the conductive energy equation is solved using an iterative method. These values of the radiative net flux are used to find new values for the temperature distribution.