Propagation of Plane Waves in a Thermally Conducting Mixture. (16th August 2011)

• Record Type: Journal Article
• Authors: Singh, Baljeet
• Other Names: Dimakopoulos Y. Academic Editor.; Li S. Academic Editor.; Liu Y. Academic Editor.
• Is Part Of: ISRN applied mathematics. Volume 2011(2011)
• Publication Date: 2011-08-16
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; Electronic journals; 510
• DOI: 10.5402/2011/301816
• Languages: English
• ISSNs: 2090-5564

Abstract

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.