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THE EFFICIENT CALCULATION OF RADIATION HEAT TRANSFER IN ANISOTROPICALLY SCATTERING MEDIA USING THE Q_L METHOD

Pedram Hassanzadeh
University of California, Berkeley; Department of Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Avenue West, Waterloo, Canada N2L 3G1

George D. Raithby
Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, Canada N2L 3G1

E. H. Chui
CANMET Energy Technology Centre Natural Resources Canada, Ottawa, Canada K1 A 1M1

In the general-purpose CFD codes, radiation heat transfer is often computed using the P₁ model, which can be inaccurate, or the Finite Volume or Discrete Ordinates method, which can be computationally very expensive. The present research objective was to develop a solution method, called the Q_L method, which permits both the accuracy and cost to be controlled. The method has been previously shown to work well for radiation-only problems involving emission/absorption and isotropic scattering in a gray medium. This paper demonstrates the method on problems involving anisotropic scattering. It is shown that any scattering phase function can be handled in the Q_L method, and that accurate results are obtained at reasonable cost.

pages CHT-08-289

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