(3)Thermoelastic diffusion problem for a half-space due to a refined dual-phase-lag Green-Naghdi model

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Ashraf M. Zenkour ^a,b 

^a Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia 

^b Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt 

Received 26 August 2019; received in revised form 30 November 2019; accepted 3 December 2019 

Available online 16 December 2019

Abstract

   In The thermoelastic diffusion problem of an isotropic half-space is presented. The Green–Naghdi model with and without energy dissipation is proposed. Novel multi single/dual-phase-lag models are presented to investigate the thermoelastic diffusion behavior of the medium. The simple Green–Naghdi type II and III and their modified models are all examined here. The exact solution of thermodiffusion governing equations has been obtained considering the initial and boundary conditions. The validity of results is acceptable by comparing all variables. Benchmark results are reported to help other investigators in their future comparisons. 

© 2019 Shanghai Jiaotong University. Published by Elsevier B.V. 

This is an open access article under the CC BY-NC-ND license(http://creativecommons.org/licenses/by-nc-nd/4.0/)

Keywords: Green–Naghdi II; III; Thermodiffusion; Chemical potential; Dual-phase-lag.