Volume 3, Issue 2
Viscosity and Diffusion Effects at the Boundary Surface of Viscous Fluid and Thermoelastic Diffusive Solid Medium

Rajneesh Kumar, & Tarun Kansal

Adv. Appl. Math. Mech., 3 (2011), pp. 219-238.

Published online: 2011-03

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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

Viscous compressible fluid isotropic thermoelastic diffusion phase velocity attenuation coefficient

  • AMS Subject Headings

35Q80 37D35 74F05 76N17 80A17

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-3-219, author = {Rajneesh Kumar, and Tarun Kansal}, title = {Viscosity and Diffusion Effects at the Boundary Surface of Viscous Fluid and Thermoelastic Diffusive Solid Medium}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2011}, volume = {3}, number = {2}, pages = {219--238}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1016}, url = {http://global-sci.org/intro/article_detail/aamm/166.html} }
TY - JOUR T1 - Viscosity and Diffusion Effects at the Boundary Surface of Viscous Fluid and Thermoelastic Diffusive Solid Medium AU - Rajneesh Kumar, & Tarun Kansal JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 219 EP - 238 PY - 2011 DA - 2011/03 SN - 3 DO - http://dor.org/10.4208/aamm.10-m1016 UR - https://global-sci.org/intro/aamm/166.html KW - Viscous compressible fluid KW - isotropic KW - thermoelastic diffusion KW - phase velocity KW - attenuation coefficient AB -

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.

Rajneesh Kumar, & Tarun Kansal. (1970). Viscosity and Diffusion Effects at the Boundary Surface of Viscous Fluid and Thermoelastic Diffusive Solid Medium. Advances in Applied Mathematics and Mechanics. 3 (2). 219-238. doi:10.4208/aamm.10-m1016
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