This paper studies the influence of boundary conditions on a fluid medium of finite depth.We determine the frequencies and the\r\nmodal shapes of the fluid. The fluid is assumed to be incompressible and viscous. A potential technique is used to obtain in threedimensional\r\ncylindrical coordinates a general solution for a problem.Themethod consists in solving analytically partial differential\r\nequations obtained from the linearized Navier-Stokes equation. A finite element analysis is also used to check the validity of the\r\npresent method. The results from the proposed method are in good agreement with numerical solutions. The effect of the fluid\r\nthickness on the Stokes eigenmodes is also investigated. It is found that frequencies are strongly influenced.
Loading....