International Journal of Mathematics and Mathematical Sciences

Volume 2004 (2004), Issue 71, Pages 3917-3929

doi:10.1155/S0161171204404566

## Magnetoelastic plane waves in rotating media in thermoelasticity of type II (G-N model)

# S. K. Roychoudhuri and Manidipa Banerjee (Chattopadhyay)

Department of Mathematics, Burdwan University, Bardhaman 713104, West Bengal, India

Received 4 April 2004

Copyright © 2004 S. K. Roychoudhuri and Manidipa Banerjee (Chattopadhyay). This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

A study is made of the propagation of time-harmonic plane waves in an infinite, conducting, thermoelastic solid permeated by a uniform primary external magnetic field when the entire medium is rotating with a uniform angular velocity. The thermoelasticity theory of type II (G-N model) (1993) is used to study the propagation of waves. A more general dispersion equation is derived to determine the effects of rotation, thermal parameters, characteristic of the medium, and the external magnetic field. If the primary magnetic field has a transverse component, it is observed that the longitudinal and transverse motions are linked together. For low frequency (