TECHNICAL PAPERS: Conductive Heat Transfer

On the Solution of Multidimensional Inverse Heat Conduction Problems Using an Efficient Sequential Method

[+] Author and Article Information
H. M. Park, W. S. Jung

Department of Chemical Engineering, Sogang University, Seoul, Korea

J. Heat Transfer 123(6), 1021-1029 (Apr 19, 2001) (9 pages) doi:10.1115/1.1409260 History: Received October 13, 2000; Revised April 19, 2001
Copyright © 2001 by ASME
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The system and relevant boundary conditions
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Definition of shape functions: (a) temporal shape functions; and (b) spatial shape functions.
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Empirical eigenfunctions: (a) the first eigenfunction (λ1=0.741); (b) the second eigenfunction (λ2=0.156); (c) the third eigenfunction (λ3=4.969×10−2); (d) the fourth eigenfunction (λ4=2.127×10−2); (e) the 17th eigenfunction (λ17=2.351×10−4); (f) the 18th eigenfunction (λ18=1.787×10−4); (g) the 19th eigenfunction (λ19=1.391×10−4); and (h) the 20th eigenfunction (λ20=1.127×10−4).
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The estimated profiles of wall heat flux: (a) q(x,t) for the case a (Eq. 27); and (b) q(x,t) for the case b (Eq. 28).
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The effect of initially assumed values of ai(t=0) and q(x,t=0) on the accuracy of the estimation: (a) wall heat flux; and (b) temperature field.
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Estimated q(x,t) from the corrupted temperature measurements: (a) 3 percent relative measurement error; and (b) 15 percent relative measurement error.
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The effect of the number of measurement points on the accuracy of estimation: (a) 10 measurement points; and (b) 50 measurement points.
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The effect of measurement location on the accuracy of estimation




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