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RESEARCH PAPERS

Effective Thermal Conductivity for Combined Radiation and Free Convection in an Optically Thick Heated Fluid Layer

[+] Author and Article Information
M. Epstein, F. B. Cheung, T. C. Chawla, G. M. Hauser

Reactor Analysis and Safety Division, Argonne National Laboratory, Argonne, Ill. 60439

J. Heat Transfer 103(1), 114-120 (Feb 01, 1981) (7 pages) doi:10.1115/1.3244403 History: Received March 07, 1980; Online October 20, 2009

Abstract

The effective thermal conductivity for radiative heat transfer within an optically thick fluid layer undergoing high Rayleigh number convection is derived. This result is combined with available “pure” free-convection heat-transfer correlations to obtain closed-form analytical descriptions of the gross properties of a radiating fluid layer heated internally or from below. These simple solutions compare favorably with recent work in which the governing energy equation incorporating both turbulent heat transport and thermal radiation is solved numerically.

Copyright © 1981 by ASME
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