The Transient Temperature Distribution in a Slab Subject to Thermal Radiation

[+] Author and Article Information
R. D. Zerkle

Mechanical Engineering Department, University of Cincinnati, Cincinnati, Ohio

J. Edward Sunderland

Department of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Ga.

J. Heat Transfer 87(1), 117-130 (Feb 01, 1965) (14 pages) doi:10.1115/1.3689025 History: Received May 20, 1964


The transient, one-dimensional temperature distribution is determined for a slab, insulated on one face, and subjected to thermal radiation at the other face. The slab is initially at a uniform temperature and is assumed to be homogeneous, isotropic, and opaque; the physical properties are assumed to be independent of temperature. Transient temperature distributions for both heating and cooling situations are obtained by means of a thermal-electrical analog computer. A diode limiter circuit is used to simulate the nonlinear radiant heat flux. The transient temperature distributions are presented in a dimensionless, graphical form for a wide range of variables. Approximate analytical solutions are also given which complement and extend the solution charts over ranges of parameters not covered in the charts.

Copyright © 1965 by ASME
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