IJPAM: Volume 70, No. 6 (2011)
BETWEEN TWO DISSIMILAR THERMALLY
CONDUCTING VISCOUS LIQUID HALF-SPACES
Department of Mathematics
G.J. University of Science and Technology
Hisar, 125001, Haryana, INDIA
Department of Mathematics
Post Graduate Government College
Sector-11, Chandigarh 160011, INDIA
Abstract. The present investigation is concerned with the problem
of reflection and refraction of plane waves at an interface between two
dissimilar thermally conducting viscous liquid half-spaces. The required
boundary conditions at the interface are satisfied by particular solutions
in both the half-spaces to obtain the relations between the amplitude ratios
of different reflected and refracted waves for both Lord-Shulman (L-S) and
Green-Lindsay (G-L) theories of generalized thermoelasticity. The complex
absolute values of the amplitude ratios are computed numerically for a
particular example of the model. In the presence as well as absence of
thermal and viscous parameters, these values of amplitude ratios are plotted
against the angle of incidence to observe the effects of viscosity and
thermal fields.
Received: March 2, 2011
AMS Subject Classification: 74Jxx
Key Words and Phrases: thermally conducting, viscous liquid, plane waves, reflection, refraction, amplitude ratios, thermal relaxation times
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 6