Radiative Heat Transfer in Multidimensional Emitting, Absorbing, and Anisotropic Scattering Media—Mathematical Formulation and Numerical Method

[+] Author and Article Information
Zhiqiang Tan

Department of Thermal Engineering, Northeast University of Technology, Shenyang, People’s Republic of China

J. Heat Transfer 111(1), 141-147 (Feb 01, 1989) (7 pages) doi:10.1115/1.3250636 History: Received June 12, 1986; Online October 20, 2009


Thermal radiative transmission in multidimensional emitting, absorbing, and anisotropic scattering media is studied in this paper. In the first part, starting from basic formulae of radiative heat transfer, a set of integral equations for the problem is derived. Then the product-integration method is applied to discretize the integral equations. This method, while analogous to Hottel’s zonal method or Razzaque’s finite element method, requires evaluation of only three or two-dimensional integrals for three-dimensional systems. Finally the formulation and the numerical technique are applied to the problems of thermal radiation in emitting, absorbing, and linearly anisotropic scattering planar and square media with gray surfaces and with or without internal heat generations. Computed results are discussed and compared with available data.

Copyright © 1989 by ASME
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