Approximate Solution to the Radiative Equilibrium Between Concentric Spheres

Author

Bassem F. Armaly, Missouri University of Science and TechnologyFollow
Adel Nassif Saad

Abstract

An approximate method was developed for the study of the radiative energy transfer through a gray gas layer enclosed between black concentric spheres which are maintained at uniform but different temperatures. The basic concept consists of assuming a temperature distribution through the gas layer, and assigning appropriate jump boundary conditions to evaluate the flux distribution using the exact integral equation governing the flux for this geometry. The approximate solutions have been found to agree very well (6 per cent maximum deviation) with the existing exact numerical solution throughout the entire range of optical thickness. © 1972.

Recommended Citation

B. F. Armaly and A. N. Saad, "Approximate Solution to the Radiative Equilibrium Between Concentric Spheres," Journal of Quantitative Spectroscopy and Radiative Transfer, American Society of Mechanical Engineers (ASME), Jan 1972.

The definitive version is available at https://doi.org/10.1016/0022-4073(72)90162-8

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0022-4073

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1972 American Society of Mechanical Engineers (ASME), All rights reserved.

Publication Date

01 Jan 1972