Wave propagation in a solid cylinder of arbitrary cross-section immersed in fluid

The problem of wave propagation in a solid cylinder of arbitrary cross-section immersed in fluid is studied using the Fourier expansion collocation method. The frequency equations are obtained for longitudinal and flexural vibrations and are studied numerically for elliptic and cardioidal cylinders and are presented in the tabular form and also in the graphical form. The general theory can be used to study any kind of cylinder with proper geometric relations.