Transient Conductive and Radiative Transfer in a Planar Layer with Arrhenius Heat Generation

Author

Alfred L. Crosbie, Missouri University of Science and TechnologyFollow
Milin Pattabongse

Abstract

Transient conductive and radiative energy transfer in a gray absorbing-emitting planar medium bounded by black walls is studied. The temperature distribution is uniform when the medium starts releasing energy according to the Arrhenius equation. The Crank-Nicolson method is used in the radiative-dominant case with good accuracy. Time-dependent temperature and heat flux distributions are calculated until steady-state is reached. Confirmation of the solution technique is made by comparison with previous investigations. The dimensionless activation energy required for ignition varies from 4.1 for pure conduction to 7.5 for pure radiation. © 1987.

Recommended Citation

A. L. Crosbie and M. Pattabongse, "Transient Conductive and Radiative Transfer in a Planar Layer with Arrhenius Heat Generation," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 1987.

The definitive version is available at https://doi.org/10.1016/0022-4073(87)90001-X

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

© 1987 Elsevier, All rights reserved.

Publication Date

01 Jan 1987