Thermo electro environment effects in a dispersion of functionally graded thermo piezo electric rod coupled with inviscid fluid

The thermo electro effects on the dispersion of functionally graded piezo electric rod coupled with inviscid fluid is studied via three-dimensional elasticity equation in linear form. The stiffness and thermal conductivity of the material is considered to transport via radial coordinate. The motion equation is taken from the plain stress and strain form. The resulting partial differential equation is being solved to reach the coupled solution in Laplace domain. Developed power serious Matrix Frobonious method is employed to derive the analytical solutions. Dispersion relation is arrived via stress free initial and boundary conditions. Dispersion relation is arrived via stress free and perfect slip boundary conditions in the solid fluid interface. The numerical results are presented to investigate the influence of thermal, piezo effects in the physical variables via grading values and are given as graphs.