Radiative transfer problem in two concentric spheres with reflective boundary conditions and internal source

Abstract EN

Radiation transfer problem for anisotropic scattering in a spherical homogeneous, turbid medium with angular dependent (specular) and diffuse reflecting boundaries is considered.

The solution of the problem containing an energy source in a medium of specular and diffuse reflecting boundaries is given in terms of the solution of the source-free problem.

The angular dependent reflectivity of the boundary is considered as Fresnel’s reflection probability function.

The source-free problem is solved by using the Pomraning-Eddington approximation.

Two different weight functions are used to find the solution constants.

The partial heat fluxes at the boundaries of solid sphere and spherical shell of transparent and reflecting boundaries are calculated.

The calculations are carried out for various values of refractive index and different radii.

The results are compared with those of the Galerkin technique.