Electromagnetic, thermal and diffusive wave analysis on a two-temperature generalized thermo-elastic problem in a semi-infinite solid with cylindrical cavity subject to thermal loads

Abstract

Our present work is concerned with the study of a semi-infinitely long, conducting solid with a cavity in cylindrical form in the context of magneto-thermo-elastic diffusion with two-temperature and three-phase-lag effect. The medium we have considered here is supposed to be initially quiescent. The material is assumed to be made of an isotropic homogeneous thermo-elastic material and put in a magnetic field which is uniform and acted in the direction of the axis of the cylindrical cavity. The solution to the problem is done in Laplace transform domain. Inversion process is applied to obtain the solution in space time domain and finally illustrated graphically.

KEYWORDS:

• Magneto-thermo-elasticity
• two- temperature
• thermo-elastic-diffusion
• three-phase-lag
• cylindrical cavity
• wave propagation

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

K. Paul

K. Paul is a research scholar in Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India, working on the field of generalized thermoelasticity with diffusion and fractional order, have more than three published paper in different reputed journal.

B. Mukhopadhyay

B. Mukhopadhyay is a professor in applied mathematics, Mathematics Department, Indian Institute of Engineering Science and Technology, Shibpur, formerly, (1) Bengal Engineering Science and University, Shibpur, (2) Bengal Engineering (Deemed University), Shibpur, (3) Bengal Engineering College, Shibpur, working as a faculty for about 35 years and have more than 60 published paper in different journal on the field of generalized thermoelasticity.