Nonlinear inverse heat conduction problem of surface temperature estimation by calibration integral equation method
- 4 May 2018
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 73 (5) , 263-291
Abstract
A calibration integral equation method is proposed for estimating the surface temperature in the context of a nonlinear inverse heat conduction problem. The temperature-dependent thermophysical properties and probe positioning are implicitly accounted in the integral equation formulation through calibration tests. A first kind Chebyshev expansion is applied to represent the temperature-dependent property transform function. The undetermined expansion coefficients associated with the Chebyshev expansion are then estimated through two calibration tests. Regularization of the ill-posed problem is achieved by the future-time method. The optimal regularization parameter is estimated using a phase plane and cross-correlation phase plane analyses. Numerical simulation for stainless steel yields highly favorable surface temperature prediction.Keywords
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