Three-dimensional investigation of the stokes eigenmodes in hollow circular cylinder
Article dans une revue avec comité de lecture
Date
2013Journal
Advances in Acoustics and VibrationAbstract
This paper studies the influence of boundary conditions on a fluid medium of finite depth.We determine the frequencies and the modal shapes of the fluid.The fluid is assumed to be incompressible and viscous. A potential technique is used to obtain in three-dimensional cylindrical coordinates a general solution for a problem.The method consists in solving analytically partial differential equations obtained from the linearized Navier-Stokes equation. A finite element analysis is also used to check the validity of the present method. The results from the proposed method are in good agreement with numerical solutions. The effect of the fluid thickness on the Stokes eigenmodes is also investigated. It is found that frequencies are strongly influenced.
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