Time fractional dual-phase-lag heat conduction equation
We build a fractional dual-phase-lag model and the corresponding bioheat transfer equation, which we use to interpret the experiment results for processed meat that have been explained by applying the hyperbolic conduction. Analytical solutions expressed by H-functions are obtained by using the Lapl...
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Published in | Chinese physics B Vol. 24; no. 3; pp. 207 - 213 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
01.03.2015
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Subjects | |
Online Access | Get full text |
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Summary: | We build a fractional dual-phase-lag model and the corresponding bioheat transfer equation, which we use to interpret the experiment results for processed meat that have been explained by applying the hyperbolic conduction. Analytical solutions expressed by H-functions are obtained by using the Laplace and Fourier transforms method. The inverse fractional dual-phase-lag heat conduction problem for the simultaneous estimation of two relaxation times and orders of fractionality is solved by applying the nonlinear least-square method. The estimated model parameters are given. Finally, the measured and the calculated temperatures versus time are compared and discussed. Some numerical examples are also given and discussed. |
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Bibliography: | We build a fractional dual-phase-lag model and the corresponding bioheat transfer equation, which we use to interpret the experiment results for processed meat that have been explained by applying the hyperbolic conduction. Analytical solutions expressed by H-functions are obtained by using the Laplace and Fourier transforms method. The inverse fractional dual-phase-lag heat conduction problem for the simultaneous estimation of two relaxation times and orders of fractionality is solved by applying the nonlinear least-square method. The estimated model parameters are given. Finally, the measured and the calculated temperatures versus time are compared and discussed. Some numerical examples are also given and discussed. Xu Huan-Ying,and Jiang Xiao-Yun( a) school of Mathematics, Shandong University, Jinan 250100, China; b) School of Mathematics and Statistics, Shandong University, Weihai 264209, China fractional dual-phase-lag model,thermal wave,non-Fourier heat conduction,analytical solution 11-5639/O4 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 1674-1056 2058-3834 1741-4199 |
DOI: | 10.1088/1674-1056/24/3/034401 |