Solution of inverse heat conduction problems using control volume approach

International Journal of Heat and Mass Transfer

Volumn 42, Issue 6, 1999, Pages 1123-1140

  Taler, J ^a   Zima, W ^a  

^a CRACOW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT TRANSFER; THERMAL CONDUCTIVITY;

EID: 0344327041     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(98)00280-4     Document Type: Article

References (25)

1. J.V. Beck, B. Blackwell, Ch.R.St. Clair, Inverse heat conduction, Ill-posed Problems, Wiley-Interscience Publication, New York, 1985.
2. A. Arakawa, R. Takahashi, Real time application of filtering theory to one-dimensional heat conduction, Nuclear Engineering and Design 70 (1982) 215-221.
3. O.M. Alifanov, A.V. Nenarokomov, Boundary inverse heat conduction problem in external formulation, in: N. Zabaras, K.A. Woodbury, M. Raynaud (Eds.) , Inverse Problems in Engineering: Theory and Practice, ASME, New York, 1993, pp. 31-38.
4. E.P. Scott, J.V. Beck, Analysis of order of the sequential regularization solutions of inverse heat conduction problems, Transactions of the ASME, Journal of Heat Transfer 111 (1989) 218-214.
5. G.P. Flach, M.N. Özişik, An adaptive inverse heat conduction method with automatic control, Transactions of the ASME, Journal of Heat Transfer 114 (1992) 5-13.
6. Y.F. Hsu, B. Rubinsky, K. Mahin, An inverse finite element method for the analysis of stationary arc welding processes, Transactions of the ASME, Journal of Heat Transfer 108 (1986) 734-741.
7. T.R. Hsu, N.S. Sun, G.G. Chen, Z.L. Gong, Finite element formulation for two-dimensional inverse heat conduction analysis, Transactions of the ASME, Journal of Heat Transfer 114 (1992) 553-557.
8. H.J. Reinhardt, A numerical method for the solution of two-dimensional inverse heat conduction problems, International Journal for Numerical Methods in Engineering 32 (1991) 363-383.
9. J. Taler, Nonlinear steady-state inverse heat conduction problem with space-variable boundary conditions, Transactions of the ASME, Journal of Heat Transfer 114 (1992) 1048-1051.
10. J. Taler, Numerical solutions for general inverse heat conduction problem, Wärme- und Stoffübertragung 27 (1992) 505-513.
11. A. Haji-Sheikh, F.P. Buckingham, Multidimensional inverse heat conduction using the Monte Carlo Method, Transactions of the ASME, Journal of Heat Transfer 115 (1993) 26-33.
12. K.A. Woodbury, S.K. Thakur, A two-dimensional inverse heat conduction algorithm, in: N. Zabaras, K.A. Woodbury, M. Raynaud (Eds.) , Inverse Problems in Engineering: Theory and Practice, ASME, New York, 1993, pp. 219-226.
13. Ch.F. Weber, Analysis and solution of the ill-posed inverse heat conduction problem, Mass Transfer 24 (1981) 1783-1792.
14. M. Raynaud, J. Bransier, A new finite difference method for nonlinear inverse heat conduction problem, Num. Heat Transfer 9 (1986) 27-42.
15. E. Hensel, R.G. Hills, An initial value approach to the inverse heat conduction problem, Transactions of the ASME, Journal of Heat Transfer 108 (1986) 248-256.
16. J.J. Serra, J.M. Gineste, S. Serror, Experimental investigation of heat transfer in a gun barrel based on a space marching inverse conduction method, in: N. Zabaras, K.A. Woodbury, M. Raynaud (Eds.) , Inverse Problems in Engineering: Theory and Practice, ASME, New York, 1993, pp. 323-328.
17. J. Taler, Semi-numerical method for identification of temperature fields from measurements at interior locations, Proceedings of the XV-th Polish Conference on Thermodynamics, Gliwice-Kokotek 2 (1993) 653-659 (in Polish) .
18. W. Zima, Prediction of transient temperature and heat flux distributions at inside surface based on temperature measurements at outside solid surface, Measurements in Production Processes, Proceedings of the Fifth Polish Technical Conference, Cracow, 1994, pp. 277-283 (in Polish) .
19. J. Stefan, Über die Theorie der Eisbildung insbesondere über Eisbuldung im Polarmeere, S.-B. Wien. Akad. Mat. Natur. 98 (1889) 965-983.
20. O.E. Burggraf, An exact solution of the inverse problem in heat conduction theory and applications, Transactions of the ASME, Journal of Heat Transfer 86 (1964) 373-382.
21. B.R. Baliga, S.V. Patankar, Elliptic systems, finite-element method II, in: W.J. Minkowycz, E.M. Sparrow, G.E. Schneider, R.H. Pletcher (Eds.) , Handbook of Numerical Heat Transfer, Wiley, New York, 1988.
22. G.E. Schneider, Finite-element methods for conduction, in: G.F. Hewitt (Ed.) , Handbook of Heat Exchanger Design, Begell House, New York, 1992.
23. G.A. Korn, T.M. Korn, Mathematical Handbook, Chap. 20, McGraw-Hill, New York, 1968.
24. C.F. Gerald, P.O. Wheatley, Applied Numerical Analysis, 5th ed., Addison-Wesley, Reading, MA, 1994, pp. 327-328.
25. Subroutine NORNG - Normal Random Number Generator, FORTRAN: Scientific Subroutine Library, IBM, 1984.