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Lin, David T. W.; Yang, Ching-Yu; Li, Jen-Chieh; Wang, Chi-Chang

Inverse estimation of the unknown heat flux boundary with irregular shape fins. (English) Zbl 1243.80008

Int. J. Heat Mass Transfer 54, No. 25-26, 5275-5285 (2011).
The paper investigates numerically the problem for reconstructing boundary conditions of the heat equation in an irregular shape fin using measurements of the temperature distribution at some parts of the boundary. It proposes a numerical method in which the problem is discretized using the finite element method and the future time method is used to reconstruct the heat flux on the boundary. Some numerical results are shown to demonstrate the performance of the algorithm.
Reviewer: Trung Thanh Nguyen (Charlotte)

MSC:

80A20 Heat and mass transfer, heat flow (MSC2010)
80A23 Inverse problems in thermodynamics and heat transfer
80M10 Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer
80M50 Optimization problems in thermodynamics and heat transfer
93E24 Least squares and related methods for stochastic control systems

Keywords:

heat transfer; inverse problems; irregular shape fins; reconstruction; heat flux

Software:

IMSL Numerical Libraries
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References:

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