The Finite Volume Method Approach to the Collapsed Dimension Method in Analyzing Steady/Transient Radiative Transfer Problems in Participating Media
R. Muthukumaran1, Subhash C. Mishra2 and Shigenao Maruyama3
1DTU Mathematics, Technical University of Denmark, Matematiktorvet Building 303S, Room 148 2800 Kgs. Lyngby, Denmark.
2Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781 039, India.
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3Institute of Fluid Science, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980-8577, Japan.
ABSTRACT
With the finite volume formulation (FVM) approach applied to the collapsed dimension method (CDM), this article deals with the application of the CDM to analyze radiative heat transfer problems in a participating medium subjected to a continuous diffuse or a continuous/short-pulse collimated boundary radiative loading. The planar medium contained between diffuse gray boundaries is absorbing, emitting and anisotropically scattering. With three categories of thermal boundary radiative loadings, for the four types of problems considered, the CDM results are compared for a wide range of radiative parameters with that of the FVM.
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