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TECHNICAL BRIEFS

Least-Squares Finite Element Analysis for Transient Radiative Transfer in Absorbing and Scattering Media

[+] Author and Article Information
W. An, H. P. Tan, H. Qi

School of Energy Science and Engineering, Harbin Institute of Technology, 150001 Harbin, People’s Republic of China

L. M. Ruan

School of Energy Science and Engineering, Harbin Institute of Technology, 150001 Harbin, People’s Republic of Chinaruanlm@hit.edu.on

J. Heat Transfer 128(5), 499-503 (Oct 07, 2005) (5 pages) doi:10.1115/1.2190694 History: Received June 19, 2005; Revised October 07, 2005

In some radiative transfer processes, the time scales are usually on the order of 1091015s, so the transient effect of radiation should be considered. In present research, a finite element model, which is based on the discrete ordinates method and least-squares variational principle, is developed to simulate the transient radiative transfer in absorbing and scattering media. The numerical formulations and detailed steps are given. Moreover, two transient radiative transfer problems are investigated and the results are compared with those by integral method and finite volume method. It indicates that the present model can simulate the transient radiative transfer effectively and accurately.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

The heat flux and incident radiation in one-dimensional slab at different time: (a) the heat flux in the media at different time; (b) the incident radiation in the media at different time

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Figure 2

Schematic diagram and quadrangle-element grid (10×10) in 2D irregular quadrilateral enclosure

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Figure 3

The heat flux on the bottom wall in 2D irregular quadrilateral enclosure at different time

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