Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems
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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-11-01
|
| Series: | Computation |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-3197/8/4/95 |
| _version_ | 1827702672998793216 |
|---|---|
| author | Farzad Mohebbi |
| author_facet | Farzad Mohebbi |
| author_sort | Farzad Mohebbi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T15:02:50Z |
| format | Article |
| id | doaj.art-20aa1593815b40b786e34cb0a5aa79e2 |
| institution | Directory Open Access Journal |
| issn | 2079-3197 |
| language | English |
| last_indexed | 2024-03-10T15:02:50Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computation |
| spelling | doaj.art-20aa1593815b40b786e34cb0a5aa79e22023-11-20T20:02:23ZengMDPI AGComputation2079-31972020-11-01849510.3390/computation8040095Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction ProblemsFarzad Mohebbi0Zienkiewicz Centre for Computational Engineering, College of Engineering, Swansea University, Bay Campus, Fabian Way, Crymlyn Burrows, Swansea SA1 8EN, UKExplicit 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.https://www.mdpi.com/2079-3197/8/4/95inverse transient heat conductionconjugate-gradient methodsensitivity analysisparameter estimationtemperature-dependent thermophysical properties |
| spellingShingle | Farzad Mohebbi Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems Computation inverse transient heat conduction conjugate-gradient method sensitivity analysis parameter estimation temperature-dependent thermophysical properties |
| title | Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems |
| title_full | Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems |
| title_fullStr | Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems |
| title_full_unstemmed | Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems |
| title_short | Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems |
| title_sort | explicit sensitivity coefficients for estimation of temperature dependent thermophysical properties in inverse transient heat conduction problems |
| topic | inverse transient heat conduction conjugate-gradient method sensitivity analysis parameter estimation temperature-dependent thermophysical properties |
| url | https://www.mdpi.com/2079-3197/8/4/95 |
| work_keys_str_mv | AT farzadmohebbi explicitsensitivitycoefficientsforestimationoftemperaturedependentthermophysicalpropertiesininversetransientheatconductionproblems |