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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.
Keywords: solid-fluid interface; perfect-slip boundary; wave propagation in a rotating plate; vibration of thermal plate; plate immersed in fluid; generalized thermoelastic plate; Bessel function |
full paper (pdf, 1360 Kb)