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TECHNICAL BRIEFS

Study on the imaginary temperature of open boundary wall in cylindrical medium by partition allocation method

[+] Author and Article Information
H. Qi, L. H. Liu

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

L. M. Ruan

School of Energy Science and Engineering,  Harbin Institute of Technology, Harbin, People’s Republic of China, 150001ruanlm@hit.edu.cn

J. Heat Transfer 127(7), 791-793 (Mar 03, 2005) (3 pages) doi:10.1115/1.1924572 History: Received May 12, 2003; Revised March 03, 2005

By the partition allocation method, the radiative heat transfer in a cylindrical medium is approximated, in which every subdomain is overlapped with each other and isolated by an imaginary black wall at certain temperatures. The flux equivalent temperature (FET) from the incident radiative flux on the imaginary interface is proposed as the imaginary temperature of open boundary. Compared with the conventional method of the local medium temperature (LMT) as the imaginary temperature, the FET method is more suitable. The effects of the overlap optical thickness and the aspect ratio on the accuracy of partition allocation method were also investigated.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 1

The geometric model of partition allocation treatment by overlap regions

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Figure 2

The relative errors distribution with different overlap optical thickness using the LTM method

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Figure 3

The radiative flux distribution of the boundary along the z axis using the FET method and the LMT method (2D temperature distribution) δτ=0.2L=0.4m

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Figure 4

The relationship between τ and relative error for a 1D problem using the FET method

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Figure 5

The relationship between γ and relative error for a 1D problem using the FET method

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