Boundary condition of the P sub(N)-approximation used to solve the radiative transfer equation

The arbitrariness of the boundary condition applied to the P sub(1)-approximation is explored by extending the conventional Marshak boundary condition to include an arbitrary constant. The influence of the constant on the results of the P sub(1)-approximation is investigated numerically for one- and...

Full description

Saved in:
Bibliographic Details
Published in:International journal of heat and mass transfer 1992-01, Vol.35 (8), p.2043-2052
Main Authors: Liu, Fengshan, Swithenbank, Jim, Garbett, Eric S
Format: Article
Language:English
Subjects:
Heat transfer
Radiators
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The arbitrariness of the boundary condition applied to the P sub(1)-approximation is explored by extending the conventional Marshak boundary condition to include an arbitrary constant. The influence of the constant on the results of the P sub(1)-approximation is investigated numerically for one- and multi-dimensional radiative heat transfer problems. Based on these numerical investigations, optimized values for the constant are recommended according to the wall emissivity of the radiating system. The accuracy of the P sub(1)-approximation can be improved significantly when optimized values are employed in the boundary condition.
ISSN:0017-9310