Longitudinal Waves in a Rotating Solid Cylinder Immersed in an Inviscid Fluid Using Chebyshev Polynomial

The longitudinal waves in a homogeneous transversely isotropic rotating solid cylinder immersed in an in viscid fluid is studied using the linearized, three-dimensional theory of elasticity. The equations of motion of solid and fluid are respectively formulated using the constitutive equations of a transversely isotropic cylinder and the constitutive equations of an in viscid fluid. The solution of the frequency equations are obtained by Chebyshev polynomials series using the geometric boundary conditions. The computed non-dimensional frequencies are presented in the form of dispersion curves for the material Zinc.