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Inverse problem of estimating time-dependent heat transfer coefficient with the network simulation method. (English) Zbl 1061.65093
Summary: The sequential function specification method together with the network simulation method are applied in the inverse estimation of the time-dependent heat transfer coefficient with internal heat generation. The thermal properties of the solid and air are dependent on temperature. The input data are the temperature history at a particular location of the solid. The common iterative least-squares approach is used to minimize the functional and in all cases a piecewise function is used to approximate the solution.

MSC:
65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs
35K05 Heat equation
35R30 Inverse problems for PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
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References:
[1] Churchill, Heat Exchange Design Handbook (1983)
[2] Yuge, Experiments on heat transfer from spheres including combined natural and forced convection, International Journal of Heat and Mass Transfer 82 pp 214– (1960)
[3] Osman, Investigation of transient heat transfer coefficients in quenching experiments, Journal of Heat Transfer 112 pp 843– (1990)
[4] Maillet, Inverse heat conduction applied to the measurement of heat transfer coefficient on a cylinder: comparison between an analytical and a boundary element technique, Journal of Heat Transfer 113 pp 549– (1991)
[5] Chantasiriwan, Inverse heat conduction problem of determining time-dependent heat transfer coefficient, International Journal of Heat and Mass Transfer 42 pp 4275– (1999) · Zbl 0955.80003
[6] Hernández-Morales, Application of inverse techniques to determine heat-transfer coefficients in heat-treating operations, Journal of Materials Engineering and Performance 1 pp 763– (1992)
[7] Le Masson, A numerical study for the estimation of a convection heat transfer coefficient during a metallurgical ominy end-quenchtest, Proceedings of the Eurotherm Seminar 68 pp 183– (2001)
[8] Rainieri, Data filtering applied to infrared thermographic measurements intended for the estimation of local heat transfer coefficient, Experiments in Thermal Fluid Science 26 pp 109– (2002)
[9] Louahlia-Gualous, Inverse determination of the local heat transfer coefficients for nucleate boiling on a horizontal cylinder, Journal of Heat Transfer 125 pp 1087– (2003)
[10] Kreith, Principles of Heat Transfer (1997)
[11] Horno, Network Simulation Method (2002)
[12] Zueco, An inverse problem to estimate temperature dependent heat capacity under convection processes, Heat Mass Transfer 39 (7) pp 599– (2003)
[13] PSPICE 6.0. Microsim Corporation 1994
[14] Beck, Inverse Heat Conduction, Ill-posed Problems (1985) · Zbl 0633.73120
[15] Chantasiriwan, Comparison of three sequential function specification algorithms for the inverse heat conduction problem, International Communications of Heat and Mass Transfer 26 (1) pp 115– (1999) · Zbl 0955.80003
[16] Zueco Jordán J Solution of inverse heat conduction problem by means of the Network simulation method 2003
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