Galerkin method in radiative transfer

Date

1998-09-01

Author

YENER, YAMAN
Tarı, İlker

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An assesment is made of the Galerkin technique as a method of solution of the radiative transfer equation in absorbing, emitting and scattering media in terms of two specific applications: one between two parallel boundaries separated by a finite distance and the other between two concentric spheres. In both cases the bounding surfaces are maintained at different, but uniform temperatures and are considered to be opaque, gray and diffusely emitting and diffusely reflecting with uniform emissivity over each surface. By the implementation of the Galerkin technique, formal relations are developed for the computation of the radiative heat flux in both applications. In the second case, results are compared with the 'exact' numerical results available in the literature. It is demonstrated that the method is relatively simple to use and yields highly accurate results. (C) 1998 Elsevier Science Ltd. All rights reserved.

Subject Keywords

Aerosol, Furnaces, Convection, Thermophoresis, Solid sphere, Heat-transfer, Scattering slab, Plane-parallel medium, Developing poiseuille flow, Space-dependent albedo

URI

https://hdl.handle.net/11511/37240

Journal

International Journal Of Engineering Science

DOI

https://doi.org/10.1016/s0020-7225(98)00047-0

Collections

Department of Mechanical Engineering, Article

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Citation Formats

Y. YENER and İ. Tarı, “Galerkin method in radiative transfer,” International Journal Of Engineering Science, pp. 1535–1550, 1998, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37240.