Pomraning-Eddington approximation for radiative transfer in It homogeneoussolid cylinder

The radiative transfer in a solid cylinder containing a homogeneous turbid medium with anisotropic scattering is considered. The medium has a diffuse and specular reflecting boundary illuminated by an external incidence and c ontains an internal energy source. This general problem can be solved in te rms of the solution of the corresponding source-free problem with a specula r reflecting boundary and isotropic external incidence. The Pomraning-Eddin gton approximation is used to solve the source-free problem. Three differen t weight functions are used to verify the boundary condition to find the co nstants of the solution; The partial flux, the irradiance and the net flux at the boundary for the general problem are calculated.