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A DIRECT SPECTRAL COLLOCATION METHOD FOR RADIATIVE HEAT TRANSFER INSIDE A PLANE-PARALLEL PARTICIPATING MEDIUM WITH A GRADED INDEX

DOI: 10.1615/ICHMT.2010.RAD-6.370
10 pages

Yasong Sun
Beijing Key Laboratory of Multiphase Flow and Heat Transfer for Low Grade Energy, North China Electric Power University, Beijing 102206, China; Department of Mechanical and Aerospace Engineering, Rutgers University, Piscataway, NJ 08854, United States

Ben-Wen Li
Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, School of Energy and Power Engineering, Dalian University of Technology, Dalian, 116024, China

Resumo

A spectral collocation method based on discrete-ordinates equation is employed to directly solve one dimensional radiative heat transfer in an absorbing, emitting and scattering medium with a graded index. Numerical results by the direct spectral collocation method are compared with available data in references. The results show that the direct spectral collocation method has good accuracy for one dimensional radiative heat transfer even with space-dependent anisotropic scattering and graded index medium. The CPU time cost comparisons against the resolutions between the direct and iterative solvers are made using MATLAB computer languages. The CPU time cost of direct solver is shorter than that of iterative solver for the same number of nodes.

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