Generalized thermoelastic waves in a rotating ring shaped circular plate immersed in an inviscid fluid
In this paper, the generalized thermoelastic waves in a rotating ring shaped circular plate immersed in fluid are studied based on the Lord-Shulman (LS) and Green-Lindsay (GL) generalized two dimensional theory of thermoelasticity. Two displacement potential functions are introduced to uncouple the equations of motion. The frequency equations that include the interaction between the plate and fluid are obtained by the traction free boundary conditions using the Bessel function solutions. The numerical calculations are carried out for the material Zinc and the computed non-dimensional frequency, phase velocity, attenuation coefficient and relative frequency shift are plotted as the dispersion curves for the plate with thermally insulated and isothermal boundaries. The wave characteristics are found to be more dispersive and realistic in the presence of thermal relaxation time, fluid and the rotation parameter.