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Robust Inverse Approach for Two-Dimensional Transient Nonlinear Heat Conduction Problems

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2015-04-01

Journal: JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER

Included Journals: EI、SCIE

Volume: 29

Issue: 2

Page Number: 253-262

ISSN: 0887-8722

Abstract: Inverse heat conduction analysis provides an efficient approach for estimating the thermophysical properties of materials, the boundary conditions, or the initial conditions. In this paper, two-dimensional transient nonlinear inverse heat conduction problems are investigated, for estimating time-and space-dependent boundary heat flux, as well as the temperature-dependent thermal conductivities. Modifications are carried out to extend the previous one-dimensional inversion algorithm to solve the two-dimensional transient nonlinear heat conduction problem, to overcome the frequently occurring divergence issues, and to improve the stability of the inversion algorithm. Boundary-only measurements are used as additional information, and a dimensionless objective function is adopted. In the direct problem, formulations for solutions to the two-dimensional transient nonlinear heat conduction problem are derived and validated. Numerical examples show that the inversion algorithm is effective, efficient, accurate, and robust, for recovering multiple parameters, with and without a functional form.

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