Table of Contents
ISRN Applied Mathematics
Volume 2011, Article ID 301816, 12 pages
http://dx.doi.org/10.5402/2011/301816
Research Article

Propagation of Plane Waves in a Thermally Conducting Mixture

Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh 160 011, India

Received 10 March 2011; Accepted 4 May 2011

Academic Editors: Y. Dimakopoulos, S. Li, and Y. Liu

Copyright © 2011 Baljeet Singh. 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

The governing equations for generalized thermoelasticity of a mixture of an elastic solid and a Newtonian fluid are formulated in the context of Lord-Shulman and Green-Lindsay theories of generalized thermoelasticity. These equations are solved to show the existence of three coupled longitudinal waves and two coupled transverse waves, which are dispersive in nature. Reflection from a thermally insulated stress-free surface is considered for incidence of coupled longitudinal wave. The speeds and reflection coefficients of plane waves are computed numerically for a particular model.