Radiative transfer in absorbing, emitting and linearly anisotropically scattering spherical media.
Abstract
Radiative transfer in absorbing, emitting, linearly anisotropically scattering spherical media occupying the region 0 ≤ r ≤ R is analyzed. The analysis utilizes a recently developed integral form of the equation of transfer. To obtain a solution to the quantities of physical interest, power series expansions are employed. A linear system of coupled algebraic equations for the unknown expansion coefficients is generated by the application of Galerkin's method, and the resulting system is then readily solved by standard methods. Comparisons of results and a discussion of the accuracy of the P1 approximation are also presented.
- Publication:
-
Journal of Quantitative Spectroscopy and Radiative Transfer
- Pub Date:
- May 1989
- DOI:
- Bibcode:
- 1989JQSRT..41..383T
- Keywords:
-
- Anisotropic Media;
- Radiative Heat Transfer;
- Transport Properties;
- Absorption;
- Combustion Chambers;
- Emissivity;
- Fredholm Equations;
- Galerkin Method;
- Planetary Atmospheres;
- Spheres;
- Thermodynamics and Statistical Physics;
- Radiative Transfer: Scattering