Discrete-ordinate solutions for radiative transfer in a cylindrical enclosure with Fresnel boundaries

Chih Yang Wu; Bo Ting Liou

doi:10.1016/S0017-9310(96)00316-X

Discrete-ordinate solutions for radiative transfer in a cylindrical enclosure with Fresnel boundaries

Chih Yang Wu, Bo Ting Liou

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

This work considers radiative heat transfer in a 2-D cylindrical scattering medium with Fresnel boundaries. The present analysis divides the radiative intensity into the attenuated incident and in-scattering components, solves the resulting problem of the former analytically, and that of the latter by the discrete-ordinale method (DOM). In addition, the present analysis rationalizes the distribution of the quadrature points used by the DOM to treat relevantly the strongly angular dependence of radiative intensity around the critical angles. Comparisons of the results obtained by the different methods show that the above techniques can improve the discrete-ordinale solutions. The present results reveal that the gradient of radiative heat flux in a cylindrical medium with Fresnel boundaries may vary abruptly at some locations.

Original language	English
Pages (from-to)	2467-2475
Number of pages	9
Journal	International Journal of Heat and Mass Transfer
Volume	40
Issue number	10
DOIs	https://doi.org/10.1016/S0017-9310(96)00316-X
Publication status	Published - 1997 Jul

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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title = "Discrete-ordinate solutions for radiative transfer in a cylindrical enclosure with Fresnel boundaries",

abstract = "This work considers radiative heat transfer in a 2-D cylindrical scattering medium with Fresnel boundaries. The present analysis divides the radiative intensity into the attenuated incident and in-scattering components, solves the resulting problem of the former analytically, and that of the latter by the discrete-ordinale method (DOM). In addition, the present analysis rationalizes the distribution of the quadrature points used by the DOM to treat relevantly the strongly angular dependence of radiative intensity around the critical angles. Comparisons of the results obtained by the different methods show that the above techniques can improve the discrete-ordinale solutions. The present results reveal that the gradient of radiative heat flux in a cylindrical medium with Fresnel boundaries may vary abruptly at some locations.",

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AU - Wu, Chih Yang

AU - Liou, Bo Ting

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N2 - This work considers radiative heat transfer in a 2-D cylindrical scattering medium with Fresnel boundaries. The present analysis divides the radiative intensity into the attenuated incident and in-scattering components, solves the resulting problem of the former analytically, and that of the latter by the discrete-ordinale method (DOM). In addition, the present analysis rationalizes the distribution of the quadrature points used by the DOM to treat relevantly the strongly angular dependence of radiative intensity around the critical angles. Comparisons of the results obtained by the different methods show that the above techniques can improve the discrete-ordinale solutions. The present results reveal that the gradient of radiative heat flux in a cylindrical medium with Fresnel boundaries may vary abruptly at some locations.

AB - This work considers radiative heat transfer in a 2-D cylindrical scattering medium with Fresnel boundaries. The present analysis divides the radiative intensity into the attenuated incident and in-scattering components, solves the resulting problem of the former analytically, and that of the latter by the discrete-ordinale method (DOM). In addition, the present analysis rationalizes the distribution of the quadrature points used by the DOM to treat relevantly the strongly angular dependence of radiative intensity around the critical angles. Comparisons of the results obtained by the different methods show that the above techniques can improve the discrete-ordinale solutions. The present results reveal that the gradient of radiative heat flux in a cylindrical medium with Fresnel boundaries may vary abruptly at some locations.

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