Reflection of plane waves in a micropolar thermo-diffusion porous medium
Anand Kumar Yadav
Abstract
The research article deals with the reflection of plane waves in a micropolar thermoelastic diffusion solid half-space with voids in the context of Lord-Shulman theory of thermoelasticity. The governing equations are formulated to obtain two velocity equations. The plane wave solution of these velocity equations indicate the existence of six plane waves, a set of four coupled longitudinal displacement waves and a set of two coupled transverse displacement wave namely coupled longitudinal displacement wave (LD−1), coupled thermal wave (LD−2), coupled mass diffusion wave (LD−3), coupled longitudinal void volume fraction wave (LD−4) and coupled transverse displacement wave (TD−1), coupled transverse micro-rotational wave (TD−2). A reflection of the plane wave from a stress-free thermally insulated surface is studied to obtain the reflection coefficients and energy ratios of reflected waves. The reflection coefficients and energy ratios of the reflected waves are computed for a particular material and the variations of the reflection coefficients and energy ratios against the angle of incidence are shown graphically.