Numerical solution of radiative and conductive heat transfer in concentric spherical and cylindrical media
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- 作者：N. Aouled-Dlala ; T. Sghaier ; E. Seddiki
- 关键词：Spherical medium ; Cylindrical medium ; Angular derivative term ; Chebyshev transform ; Discrete ordinates method ; Conduction ; Radiation
- 刊名：Journal of Quantitative Spectroscopy and Radiative Transfer
- 出版年：2007
- 出版时间：October 2007
- 年：2007
- 卷：107
- 期：3
- 页码：443-457
- 全文大小：285 K
文摘
A new technique is presented to improve the performance of the discrete ordinates method when solving the coupled conduction–radiation problems in spherical and cylindrical media. In this approach the angular derivative term of the discretized one-dimensional radiative transfer equation is derived from an expansion of the radiative intensity on the basis of Chebyshev polynomials. The set of resulting differential equations, obtained by the application of the SN method, is numerically solved using the boundary value problem with the finite difference algorithm. Results are presented for the different independent parameters. Numerical results obtained using the Chebyshev transform method compare well with the benchmark approximate solutions. Moreover, the new technique can easily be applied to higher-order SN calculations.