Combined conduction and radiation heat transfer in a gray anisotropically scattering planar medium with diffuse-specular boundaries

作者: C.K. Krishnaprakas , K.Badari Narayana , Pradip Dutta

DOI: 10.1016/S0735-1933(01)00215-9

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摘要: Coupled conduction and radiation heat transfer in a gray planar nonlinearly anisotropic scattering medium bounded between two plane parallel surfaces reflecting both diffusely specularly is analyzed. The governing integrodifferential equations are solved by numerical iterative method consisting of Numerov's to solve the energy equation Chandarsekhar's discrete ordinates conjunction with Crank-Nicolson radiative equation. Convergence solution enhanced Ng-acceleration. algorithm described found be fast reliable. Numerical results based on $S_{32}$ indicate that anisotropy plays an important role, difference diffuse specular reflections insignificant.

参考文章(24)
M. F. Modest, Radiative heat transfer ,(1993)
S. Kumar, A. Majumdar, C. L. Tien, The Differential-Discrete-Ordinate Method for Solutions of the Equation of Radiative Transfer Journal of Heat Transfer-transactions of The Asme. ,vol. 112, pp. 424- 429 ,(1990) , 10.1115/1.2910395
A. Dayan, C. L. Tien, Heat Transfer in a Gray Planar Medium With Linear Anisotropic Scattering Journal of Heat Transfer. ,vol. 97, pp. 391- 396 ,(1975) , 10.1115/1.3450385
T.C. Chawla, S.H. Chan, Solution of radiation-conduction problems with collocation method using B-splines as approximating functions International Journal of Heat and Mass Transfer. ,vol. 22, pp. 1657- 1667 ,(1979) , 10.1016/0017-9310(79)90082-6
W. A. Fiveland, Discrete Ordinate Methods for Radiative Heat Transfer in Isotropically and Anisotropically Scattering Media Journal of Heat Transfer-transactions of The Asme. ,vol. 109, pp. 809- 812 ,(1987) , 10.1115/1.3248167
W. W. Yuen, L. W. Wong, Heat Transfer by Conduction and Radiation in a One-Dimensional Absorbing, Emitting and Anisotropically-Scattering Medium Journal of Heat Transfer-transactions of The Asme. ,vol. 102, pp. 303- 307 ,(1980) , 10.1115/1.3244278
Lars B. Wahlbin, G. Hall, J. M. Watt, Modern numerical methods for ordinary differential equations Mathematics of Computation. ,vol. 32, pp. 1322- ,(1978) , 10.2307/2006361