Effect of thermal relaxation on electro-magnetic-thermo-visco-elastic plane waves in rotating media

Abstract

The generalised dynamical theory of thermo elasticity is applied to study the propagation of electro-magneto-thermal plane harmonic waves in an infinite isotropic conducting visco-elastic medium of Kelvin-Voigt type permeated by a primary magnetic field and rotating uniformly with constant angular velocity. The present analysis includes the thermal relaxation time of heat conduction, the electric displacement current, the coupling between heat flow density and current density and that between the temperature gradient and the electric current. To determine the effects of rotation, the relaxation time and the external magnetic field on the phase velocity of the waves, a more general dispersion equation is obtained. The discussions have centered round two cases: (A) when the external magnetic field and the axis of rotation coincide and (B) when the axis of rotation is normal to the external magnetic field with zero charge density. Perturbation technique has been used to determine the wave speed and attenuation coefficient.