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Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems
Computation, Volume: 8, Issue: 4, Start page: 95
Swansea University Author: Farzad Mohebbi
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DOI (Published version): 10.3390/computation8040095
Abstract
Explicit expressions are obtained for sensitivity coefficients to separately estimate temperature-dependent thermophysical properties, such as specific heat and thermal conductivity, in two-dimensional inverse transient heat conduction problems for bodies with irregular shape from temperature measur...
| Published in: | Computation |
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| ISSN: | 2079-3197 |
| Published: |
MDPI AG
2020
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa55767 |
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| Abstract: |
Explicit expressions are obtained for sensitivity coefficients to separately estimate temperature-dependent thermophysical properties, such as specific heat and thermal conductivity, in two-dimensional inverse transient heat conduction problems for bodies with irregular shape from temperature measurement readings of a single sensor inside the body. The proposed sensitivity analysis scheme allows for the computation of all sensitivity coefficients in only one direct problem solution at each iteration with no need to solve the sensitivity and adjoint problems. In this method, a boundary-fitted grid generation (elliptic) method is used to mesh the irregular shape of the heat conducting body. Explicit expressions are obtained to calculate the sensitivity coefficients efficiently and the conjugate gradient method as an iterative gradient-based optimization method is used to minimize the objective function and reach the solution. A test case with different initial guesses and sensor locations is presented to investigate the proposed inverse analysis. |
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| Keywords: |
inverse transient heat conduction; conjugate-gradient method; sensitivity analysis; parameter estimation; temperature-dependent thermophysical properties |
| College: |
Faculty of Science and Engineering |
| Issue: |
4 |
| Start Page: |
95 |