The aim of this study is to present a novel inverse heat transfer method, which incorporates an automatic-filter scheme with the conjugate gradient method, for identifying shapes and temperatures of heating elements embedded in a rectangular package. In this report, shapes of the heating elements are visualized by using node-matrix images. A group of unknown heating elements with different shapes, positions, and temperatures are nondestructively identified simply based on the data of the upper surface temperature of the rectangular package. Effects of temperature measurement uncertainty, grid size, and number of measurement points on the top surface on the identification accuracy are evaluated. Results show that the geometric and thermal conditions of the embedded heating elements can be predicted precisely by using the present approach. The approach is found to be stable and insensitive to the temperature measurement uncertainty, and, without overwhelming mathematical manipulation, the form of objective function becomes flexible.
1.
Beck
, J. V.
, and Arnold
, K. J.
, 1977, Parameter Estimation in Engineering and Science
, Willey
, NY.2.
Matsevity
, Y. M
, and Moultanovsky
, A. V.
, 1984, “Statistical Identification of Local Heat Transfer Parameters
,” J. Eng. Phys.
0022-0841, 45
, pp. 1298
–1300
.3.
Alifanov
, O. M.
, Inverse Heat Transfer Problems
, 1994, Springler-Verlag
, NY.4.
Huang
, C. H.
, and Chen
, C. W.
, 1998, “A Boundary-Element-Based Inverse Problem of Estimating Boundary Conditions in an Irregular Domain With Statistical Analysis
,” Numer. Heat Transfer, Part B
1040-7790, 33
, pp. 251
–268
.5.
Prud’homme
, M.
, and Nguyen
, T. H.
, 1998, “On the Iterative Regularization of Inverse Heat Conduction Problems by Conjugate Gradient Method
,” Int. Commun. Heat Mass Transfer
0735-1933, 25
, pp. 999
–1008
.6.
Liu
, G. R.
, Zhou
, J. J.
, and Wang
, J. G.
, 2002, “Coefficients Identification in Electronic System Cooling Simulation Through Genetic Algorithm
,” Comput. Struct.
0045-7949, 80
, pp. 23
–30
.7.
Alifanov
, O. M.
, Balakovsky
, S. L.
, and Klibanov
, M. V.
, 1987, “The Recovery of Causal Characteristics of the Heat Conduction Process From a Solution of the Combined Inverse Problem
,” J. Eng. Phys.
0022-0841, 52
, pp. 839
–843
.8.
Tervola
, P.
, 1989, “A Method to Determine the Thermal Conductivity From Measured Temperature Profiles
,” Int. J. Heat Mass Transfer
0017-9310, 32
, pp. 1425
–1430
.9.
Flach
, G. P.
, and Ozisik
, M. N.
, 1989, “Inverse Heat Conduction Problem of Simultaneously Estimating Spatially Varying Thermal Conductivity and Heat Capacity Per Unit Volume
,” Numer. Heat Transfer, Part A
1040-7782, 16
, pp. 249
–266
.10.
Moultanovsky
, A. V.
, and Rekada
, M.
, 2002, “Inverse Heat Conduction Problem Approach to Identify the Thermal Characteristics of Super-Hard Synthetic Materials
,” Inverse Probl. Eng.
1068-2767, 10
, pp. 19
–41
.11.
Kennon
, S. R.
, and Dulikravich
, G. S.
, 1985, “The Inverse Design of Internally Cooled Turbine Blades
,” ASME J. Eng. Gas Turbines Power
0742-4795, 107
, pp. 123
–126
.12.
Dulikravich
, G. S.
, 1992, “Inverse Design of Proper Number, Shapes, Sizes and Locations of Coolant Flow Passages
,” Proc. of 10th Annual Workshop for Computational Fluid Dynamics Applications in Rocket Propulsion
, R. W.
Williams
, ed., NASA MSFC
, Huntsville, AL, NASA CP-3163, Part 1, pp. 467
–486
.13.
Fabbri
, G.
, 1997, “A Genetic Algorithm for Fin Profile Optimization
,” Int. J. Heat Mass Transfer
0017-9310, 40
, pp. 2165
–2172
.14.
Cheng
, C. H.
, and Wu
, C. Y.
, 2000, “An Approach Combining Body-Fitted Grid Generation and Conjugate Gradient Methods for Shape Design in Heat Conduction Problems
,” Numer. Heat Transfer, Part B
1040-7790, 37
, pp. 69
–83
.15.
Cheng
, C. H.
, and Chang
, M. H.
, 2003, “Shape Design for a Cylinder with Uniform Temperature Distribution on the Outer Surface by Inverse Heat Transfer Method
,” Int. J. Heat Mass Transfer
0017-9310, 46
, pp. 101
–111
.16.
Matsevity
, Y. M.
, Moultanovsky
, A. V.
, and Nemirovsky
, I. A.
, 1991, “Optimization of Heat Engineering Processes Involving Utilization of Control and Identification Methods
,” J. Eng. Phys.
0022-0841, 59
, pp. 1055
–1063
.17.
Huang
, C. H.
, and Chao
, B. H.
, 1997, “An Inverse Geometry Problem in Identifying Irregular Boundary Configurations
,” Int. J. Heat Mass Transfer
0017-9310, 40
, pp. 2045
–2053
.18.
Cheng
, C. H.
, and Chang
, M. H.
, 2003, “Shape Identification by Inverse Heat Transfer Method
,” ASME J. Heat Transfer
0022-1481, 125
, pp. 224
–231
.19.
Park
, H. M.
, and Shin
, H. J.
, 2003, “Shape Identification for Natural Convection Problems Using the Adjoint Variable Method
,” J. Comput. Phys.
0021-9991, 186
, pp. 198
–211
.20.
dos Santos
, J. V. Araújo
, Soares
, C. M. Mota
, Soares
, C. A. Mota
, and Pina
, H. L. G.
, 2000, “Development of a Numerical Model for the Damage Identification on Composite Plate Structures
,” Compos. Struct.
0263-8223, 48
, pp. 59
–65
.21.
Burczynski
, T.
, and Beluch
, W.
, 2001, “The Identification of Cracks Using Boundary Elements and Evolutionary Algorithms
,” Eng. Anal. Boundary Elem.
0955-7997, 25
, pp. 313
–322
.22.
Le Niliot
, C.
, 1998, “The Boundary Element Method for the Time Varying Strength Estimation of Point Heat Sources: Application to a Two-Dimensional Diffusion System
, Numer. Heat Transfer, Part B
1040-7790, 33
, pp. 301
–321
.23.
Lefévre
, F.
, and Le Niliot
, C.
, 2002, “The BEM for Point Heat Source Estimation: Application to Multiple Static
,” Int. J. Therm. Sci.
1290-0729, 41
, pp. 536
-545
.24.
Le Niliot
, C.
, and Lefévre
, F.
, 2004, “A Parameter Estimation Approach to Solve the Inverse Problem of Point Heat Sources Identification
,” Int. J. Heat Mass Transfer
0017-9310, 47
, pp. 827
–841
.25.
Lee
, H. S.
, Park
, C. J.
, and Park
, H. W.
, 2000, “Identification of Geometric Shapes and Material Properties of Inclusions in Two-Dimensional Finite Bodies by Boundary Parameterization
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 181
, pp. 1
–20
.26.
Abou Khachfe
, R.
, and Jarny
, Y.
, 2001, “Determination of Heat Sources and Heat Transfer Coefficient for Two-Dimensional Heat Flow—Numerical and Experimental Study
,” Int. J. Heat Mass Transfer
0017-9310, 44
, pp. 1309
–1322
.27.
Moin
, P.
, 2001, Fundamentals of Engineering Numerical Analysis
, Cambridge University Press
, NY.28.
Alifanov
, O. M.
, Artyukhin
, E. A.
, and Rumyantsev
, S. V.
, 1995, Extreme Methods for Solving Ill-Posed Problems With Applications to Inverse Problems
, Begell House
, Wallingfold, UK.Copyright © 2005
by American Society of Mechanical Engineers
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