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Viscosity and Diffusion Effects at the Boundary Surface of Viscous Fluid and Thermoelastic Diffusive Solid Medium

Published online by Cambridge University Press:  03 June 2015

Rajneesh Kumar  and
Tarun Kansal
Rajneesh Kumar*
Affiliation:
Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India
Tarun Kansal*
Affiliation:
Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India
*
Corresponding author. Email: [email protected]
Email: [email protected]
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Abstract

This paper concentrates on the wave motion at the interface of viscous compressible fluid half-space and homogeneous isotropic, generalized thermoelastic diffusive half-space. The wave solutions in both the fluid and thermoelastic diffusive half-spaces have been investigated; and the complex dispersion equation of leaky Rayleigh wave motion have been derived. The phase velocity and attenuation coefficient of leaky Rayleigh waves have been computed from the complex dispersion equation by using the Muller’s method. The amplitudes of displacements, temperature change and concentration have been obtained. The effects of viscosity and diffusion on phase velocity and attenuation coefficient of leaky Rayleigh waves motion for different theories of thermoelastic diffusion have been depicted graphically. The magnitude of heat and mass diffusion flux vectors for different theories of thermoelastic diffusion have also been computed and represented graphically.

Keywords

35Q8037D3574F0576N1780A17Viscous compressible fluidisotropicthermoelastic diffusionphase velocityattenuation coefficient
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 2 , April 2011 , pp. 219 - 238
Copyright
Copyright © Global-Science Press 2011

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