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TECHNICAL PAPERS: Conduction Heat Transfer

Shape Identification by Inverse Heat Transfer Method

[+] Author and Article Information
Chin-Hsiang Cheng, Mei-Hsia Chang

Department of Mechanical Engineering, Tatung University, 40 Chungshan N. Road, Sec. 3, Taipei, Taiwan 10451, R.O.C.

J. Heat Transfer 125(2), 224-231 (Mar 21, 2003) (8 pages) doi:10.1115/1.1560152 History: Received September 04, 2001; Revised November 01, 2002; Online March 21, 2003
Copyright © 2003 by ASME
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References

Figures

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A solid body of which the shape of inner void is to be identified
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Flow chart of the process for shape identification
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Grid independence check, for case 2 with L2=1,H2=0.4,l2=0.8,h2=0.25, and e2=0.05, at σ=0 and Bi=1
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Effects of uncertainty on inner surface identification, for case 1 at Bi=1 with L1=1,H1=0.4,l1=0.8, and h1=0.25
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Effects of uncertainty on inner surface identification, for case 4 at Bi=1 with R4=0.5,l4=0.64, and h4=0.32
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Convergence process of shape identification, for case 4 at Bi=1 with R4=0.5,l4=0.64, and h4=0.32 at σ=0
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Effects of uncertainty on inner surface identification, for case 3 with L3=1,H3=0.4, and r3=0.35, at Bi=0.1 and 1
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Thickness effects on the accuracy of shape identification, for case 4 at Bi=1 and σ=0: (a) l4=0.64 and h4=0.32; (b) l4=0.6 and h4=0.3; (c) l4=0.56 and h4=0.28; and (d) l4=0.52 and h4=0.26
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Thickness effects on the accuracy of shape identification, for case 5 at Bi=1 and σ=0: (a) r5=0.4, (b) r5=0.35, (c) r5=0.3; and (d) r5=0.28
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Shape identification for inner surfaces with fine structures. The outer surface temperature data are given at Bi=1 and σ=0.

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