Journal
CHINESE PHYSICS B
Volume 24, Issue 3, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/24/3/034401
Keywords
fractional dual-phase-lag model; thermal wave; non-Fourier heat conduction; analytical solution
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Funding
- National Natural Science Foundation of China [11102102, 11472161, 91130017]
- Natural Science Foundation of Shandong Province, China [ZR2014AQ015]
- Independent Innovation Foundation of Shandong University, China [2013ZRYQ002]
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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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