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提出了求解二维梯度折射率介质内各向异性散射辐射传递的积分矩方法.通过散射相函数的处理和辐射强度矩的定义,将原始的积分-微分控制方程转化为微分方程,并用积分方法求解.将积分矩方法的计算结果和文献中的数据进行了比较,两者符合得很好.

参考文献

[1] 黄勇 .梯度折射率半透明介质内热辐射传递研究[D].哈尔滨工业大学,2002.
[2] Ben Abdallah P.;Le Dez V. .Temperature field inside an absorbing-emitting semi-transparent slab at radiative equilibrium with variable spatial refractive index[J].Journal of Quantitative Spectroscopy & Radiative Transfer,2000(4):595-608.
[3] Huang Y.;Xia XL.;Tan HP. .Temperature field of radiative equilibrium in a semitransparent slab with a linear refractive index and gray walls[J].Journal of Quantitative Spectroscopy & Radiative Transfer,2002(2):249-261.
[4] L.H. Liu;H.P. Tan;Q.Z. Yu .Temperature distributions in an absorbing-emitting-scattering semitransparent slab with variable spatial refractive index[J].International Journal of Heat and Mass Transfer,2003(15):2917-2920.
[5] Lemonnier D.;Le Dez V. .Discrete ordinates solution of radiative transfer across a slab with variable refractive index[J].Journal of Quantitative Spectroscopy & Radiative Transfer,2002(2/5):195-204.
[6] F. Asllanaj;S. Fumeron .Modified finite volume method applied to radiative transfer in 2D complex geometries and graded index media[J].Journal of Quantitative Spectroscopy & Radiative Transfer,2010(2):274-279.
[7] L.H. Liu .Finite element solution of radiative transfer across a slab with variable spatial refractive index[J].International Journal of Heat and Mass Transfer,2005(11):2260-2265.
[8] Yong Huang;Xin-Gang Liang .Approximate Thermal Emission Models of a Two-Dimensional Graded Index Semitransparent Medium[J].Journal of thermophysics and heat transfer,2006(1):52-58.
[9] Liu LH .Benchmark numerical solutions for radiative heat transfer in two-dimensional medium with graded index distribution[J].Journal of Quantitative Spectroscopy & Radiative Transfer,2006(2):293-303.
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