The Galerkin method for solving radiation transfer in planeparallel participating media
Abstract
The Galerkin method is applied to solve radiative heat transfer in an isotropically scattering, absorbing, and emitting planeparallel medium with diffusely reflecting boundaries. In this approach, the integral form of the equation of radiative transfer is transformed into a set of algebraic equations for the determination of the expansion coefficients associated with the representation of the incident radiation in a power series in the space variable. The method is easy and straightforward to apply and requires relatively little computer time for the computations, since explicit analytical expressions are obtainable for the expansion coefficients.
 Publication:

ASME Journal of Heat Transfer
 Pub Date:
 May 1982
 Bibcode:
 1982ATJHT.104..351O
 Keywords:

 Atmospheric Physics;
 Galerkin Method;
 Isotropic Media;
 Radiative Heat Transfer;
 Solar Radiation;
 Algebra;
 Incident Radiation;
 Integral Equations;
 Slabs;
 Fluid Mechanics and Heat Transfer