RADIATION TRANSFER IN A DIFFUSE AND SPECULAR REFLECTING SLAB WITH RAYLEIGH-SCATTERING

A method of analysis is presented for solving the radiative transfer p roblem in an absorbing. emitting, inhomogeneous, and anisotropically s cattering plane-parallel medium with specular and diffuse reflecting b oundaries and internal source (problem 1). Exact relations for the rad iation heat flux at the boundaries of problem 1 are obtained in terms of the radiation density and albedos of the corresponding source-free medium with specular reflecting boundaries (problem 2). Two coupled in tegral equations for the radiation density and the second moment of th e radiation intensity for problem 2 with Rayleigh phase functions are obtained. The Galerkin method is used to solve these equations. Albedo s of problem 2 are compared with the F(N) method. Numerical results fo r radiation heat fluxes at the boundaries of problem 1 are tabulated f or different forms of the internal source.