Reflection and refraction of plane harmonic waves at an interface between elastic solid and porous solid saturated by viscous liquid |
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Authors: | M D Sharma M L Gogna |
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Institution: | (1) Department of Mathematics, Kurukshetra University, Kurukshetra, India |
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Abstract: | A general solution of Biot's field equations governing small motions of a porous solid saturated by viscous liquid is employed to study the reflection and refraction at the interface between an elastic solid and a liquid-saturated porous solid. The incident wave is assumed to be plane and homogeneous, propagating through the isotropic elastic solid. The poroelastic solid is considered to be a dissipative one. Amplitude and energy ratios are computed numerically for a particular model. With first-order corrections for the porosity of solid and viscosity of liquid, the limiting cases of low and high frequencies are computed. |
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Keywords: | Poroelastic viscous liquid dissipative frequency viscosity Poiseuille flow Bessel-Kelvin functions porosity |
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