Time fractional dual-phase-lag heat conduction equation  

作　　者：续焕英 蒋晓芸 

机构地区：[1]School of Mathematics,Shandong University [2]School of Mathematics and Statistics,Shandong University

出　　处：《Chinese Physics B》2015年第3期207-213,共7页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11102102,11472161,and 91130017);the Natural Science Foundation of Shandong Province,China(Grant No.ZR2014AQ015);the Independent Innovation Foundation of Shandong University,China(Grant No.2013ZRYQ002)

摘　　要：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.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.

关 键 词：fractional dual-phase-lag model thermal wave non-Fourier heat conduction analytical solution 

分 类 号：O551.3[理学—热学与物质分子运动论] TP212.2[理学—物理]