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

被引:0
作者
Sun, Ya-Song [1 ]
Li, Ben-Wen [1 ]
机构
[1] Northeastern Univ, Key Lab, Natl Educ Minist Electromagnet Proc Mat, POB 314, Shenyang 110004, Liaoning, Peoples R China
来源
VI. PROCEEDINGS OF THE 6TH INTERNATIONAL SYMPOSIUM ON RADIATIVE TRANSFER (RADIATIVE TRANSFER) | 2010年
关键词
Direct spectral collocation method; Discrete-ordinates method; Graded index; Radiative heat transfer; Participating medium; SEMITRANSPARENT SLAB; TEMPERATURE-FIELD; REFRACTIVE-INDEX; EQUILIBRIUM;
D O I
暂无
中图分类号
O414.1 [热力学];
学科分类号
摘要
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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页数:10
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共 25 条
[1]   Thermal emission of a semi-transparent slab with variable spatial refractive index [J].
Abdallah, P. Ben ;
Dez, V. Le .
Journal of Quantitative Spectroscopy and Radiative Transfer, 2000, 67 (03) :185-198
[2]   Temperature field inside an absorbing-emitting semi-transparent slab at radiative equilibrium with variable spatial refractive index [J].
Ben Abdallah, P ;
Le Dez, V .
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2000, 65 (04) :595-608
[3]   IMPROVED TREATMENT OF SCATTERING USING THE DISCRETE ORDINATES METHOD [J].
CHAI, JC ;
LEE, HS ;
PATANKAR, SV .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1994, 116 (01) :260-263
[4]   SOLUTION OF RADIATION-CONDUCTION PROBLEMS WITH COLLOCATION METHOD USING B-SPLINES AS APPROXIMATING FUNCTIONS [J].
CHAWLA, TC ;
CHAN, SH .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1979, 22 (12) :1657-1667
[5]   A semi-analytical numerical method for time-dependent radiative transfer problems in slab geometry with coherent isotropic scattering [J].
de Oliveira, JVP ;
Cardona, AV ;
Vilhena, MT ;
Barros, RC .
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2002, 73 (01) :55-62
[6]  
Huang Y, 2003, NUMER HEAT TR B-FUND, V44, P83, DOI [10.1080/713836336, 10.1080/10407790390122203]
[7]   Temperature field of radiative equilibrium in a semitransparent slab with a linear refractive index and gray walls [J].
Huang, Y ;
Xia, XL ;
Tan, HP .
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2002, 74 (02) :249-261
[8]  
Huang Y, 2001, J INFRARED MILLIM W, V20, P348
[9]   Two Methods for Solving Radiative Transfer in a Two-Dimensional Graded-Index Medium [J].
Huang, Yong ;
Wang, Kai ;
Wang, Jun .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2009, 23 (04) :703-710
[10]  
KAMIUTO K, 1986, J QUANT SPECTROSC RA, V35, P329, DOI 10.1016/0022-4073(86)90084-1