A solution scheme based on the maximum entropy method (MEM) for the solution of two-dimensional inverse heat conduction problems is established. MEM finds the solution which maximizes the entropy functional under the given temperature measurements. The proposed method converts the inverse problem to a nonlinear constrained optimization problem. The constraint of the optimization problem is the statistical consistency between the measured temperature and the estimated temperature. Successive quadratic programming (SQP) facilitates the numerical estimation of the maximum entropy solution. The characteristic feature of the proposed method is investigated with the sample numerical results. The presented results show considerable enhancement in resolution for stringent cases in comparison with a conventional method.
A Maximum Entropy Solution for a Two-Dimensional Inverse Heat Conduction Problem
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division August 7, 2001; revision received April 8, 2003. Associate Editor: S. S. Sadhal.
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Kim, S. K., and Lee , W. I. (November 19, 2003). "A Maximum Entropy Solution for a Two-Dimensional Inverse Heat Conduction Problem ." ASME. J. Heat Transfer. December 2003; 125(6): 1197–1205. https://doi.org/10.1115/1.1597613
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