Radiative transfer in a spherical medium

The problem of radiative transfer in a spherical medium is solved by inspection once the slab solution is known. In this work we try to solve the Pseudo-slab problem using a set of trial functions that depend on Case's eigenvalues plus a linear combination of exponential integral functions. The...

Full description

Saved in:
Bibliographic Details
Published in:Journal of quantitative spectroscopy & radiative transfer 2001-04, Vol.69 (1), p.49-59
Main Authors: El-Wakil, S.A., Degheidy, A.R., Machali, H.M., El-Depsy, A.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The problem of radiative transfer in a spherical medium is solved by inspection once the slab solution is known. In this work we try to solve the Pseudo-slab problem using a set of trial functions that depend on Case's eigenvalues plus a linear combination of exponential integral functions. The proposed trial functions are used in the integral equation which transforms it to a system of algebraic equations in the expansion coefficients. These expansion coefficients are used to calculate the albedo and the partial heat flux for isotropic scattering in a homogeneous spherical medium.
ISSN:0022-4073
1879-1352
DOI:10.1016/S0022-4073(00)00061-3