An inverse non-Fourier heat conduction problem approach for estimating the boundary condition in electronic device

Applied Mathematical Modelling

Volumn 28, Issue 7, 2004, Pages 639-652

  Hsu, Pao Tung ^a   Chu, Yuan Hsiang ^a  

^a SHU TE UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELECTRONIC EQUIPMENT; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; PROBLEM SOLVING; REFLECTION;

COMPLICATED REFLECTION; DISCREPANCIES MAGNITUDE; DOMAIN PROBLEM; FOURIER HEAT CONDUCTION;

HEAT CONDUCTION;

ELECTRONIC EQUIPMENT;

EID: 2342627396     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2003.10.010     Document Type: Article

References (21)

1. Fushinobu K. Hijikata K. Kurosaki Y. Heat transfer regime map for electronic devices cooling Int. J. Heat Mass Transfer 39 1996 3139-3145
2. Chan S.H. Low M.J.D. Mueller W.K. Hyperbolic heat conduction in catalytic supported crystallizes AICHE J. 17 1971 1499-1501
3. Hess L.D. Kokorowski S.A. Olson G.L. Yaron G. Laser processing of silicon for advanced microelectronic devices and circuits in laser and electron-beam Gibbons J.F. Hess L.D. Sigmon T.W. Laser and Electron Beam Solid Interactions and Material Processing 1981 307-319 North Holland New York
4. Bloembergen N. Kurz H. Kiu J.M. Yen R. Fundamentals of energy transfer during picosecond irradiation of silicon Appleton B.R. Celler G.K. Laser and Electron Beam Interaction with Solids 1982 3-10 Elsevier Science New York
5. Guo Z.Y. Xu Y.S. Non-Fourier heat conduction in IC chip J. Heat Transfer, Trans. ASME 117 1995 174-177
6. Chen H.T. Lin J.Y. Hybrid Laplace transform technique for nonlinear transient thermal problems Int. J. Heat Mass Transfer 34 1993 1301-1308
7. Chen H.T. Lin J.Y. Study of hyperbolic heat conduction with temperature-dependent thermal properties J. Heat Transfer, Trans. ASME 116 1994 750-753
8. Chen H.T. Lin J.Y. Analysis of two-dimensional hyperbolic heat conduction problems Int. J. Heat Mass Transfer 37 1 1994 153-164
9. Stolz G.Jr. Numerical solutions to an inverse problem of heat conduction for simple shapes J. Heat Transfer, Trans. ASME 82 1996 20-26
10. Frank I. An application of least squares method to the solution of the inverse problem of heat conduction J. Heat Transfer 85C 1963 378-379
11. Arledge R.G. Haji-Sheikh A. An iterative approach to the solution of inverse heat conduction problems Numer. Heat Transfer 1 1978 365-376
12. Krzysztof G. Cialkowski M.J. Kaminski H. An inverse temperature field problem of the theory of thermal stresses Nucl. Eng. Des. 64 1981 169-184
13. Beck J.V. Arnold K.J. Parameter Estimation in Engineering and Science 1977 Wiley New York
14. Burggraf O.R. An exact solution of the inverse problem in heat conduction theory and applications ASME J. Heat Transfer 84 1964 373-382
15. Trujillo D.M. Application of dynamic programming to the general inverse problem Int. J. Numer. Methods Eng. 12 1978 613-624
16. Beck J.V. Blackwel B. Clair C.R.St. Inverse Heat Conduction: Ill-posed Problems 1985 Wiley Interscience New York
17. Huang C.H. Ju T.M. Tseng A.A. The estimation of surface thermal behavior of the working roll in hot rolling process Int. J. Heat Mass Transfer 38 6 1995 1019-1031
18. Huang C.H. Chen W.C. A three-dimensional inverse forced convection problem in estimating surface heat flux by conjugate gradient method Int. J. Heat Mass Transfer 43 2000 3171-3181
19. Yang C.Y. Chen C.K. The boundary estimation in two-dimensional inverse heat conduction problems J. Phys. D: Appl. Phys. 29 1996 333-339
20. Yang Y.T. Hsu P.T. Chen C.K. A 3D inverse conduction problem approach for estimating heat flux and surface temperature on a hollow cylinder J. Phys. D: Appl. Phys. 30 1997 1326-1333
21. Hensel E. Inverse Theory and Applications for Engineers 1991 Prentice-Hall Englewood Cliffs, NJ