Thermal effect on gravity waves in a compressible liquid layer over a solid half-space under initial hydrostatic stress |
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Authors: | Sushil Kumar Addy Nil Ratan Chakraborty |
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Affiliation: | (1) Department of Mathematics, Jamshedpur Co-operative College, 831 001 Jamshedpur, India;(2) Department of Physics, Jamshedpur Co-operative College, 831 001 Jamshedpur, India |
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Abstract: | This paper deals with the effect of temperature on gravity waves in a compressible liquid layer over a solid half-space. It
has been assumed that the liquid layer is under the action of gravity, while the solid half-space is under the influence of
initial compressive hydrostatic stress. When the temperature of the half-space is altered, gravity waves propagate through
the liquid layer along with sub-oceanic Rayleigh waves in the system. A new frequency equation has been derived here for gravity
waves and sub-oceanic Rayleigh waves.
It has been shown graphically that the phase velocity of gravity waves is influenced significantly by the initial compressive
hydrostatic stress present in the solid half-space, for a particular value of the phase velocity of sub-oceanic Rayleigh waves
and different coupling co-efficients of the temperature. |
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Keywords: | Thermo elasticity liquid layer solid half-space initial hydrostatic stress gravity waves frequency equation |
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