Three-Dimensional Investigation of the Stokes Eigenmodes in Hollow Circular Cylinder

Q2 Physics and Astronomy

Advances in Acoustics and Vibration Pub Date : 2013-10-08 DOI:10.1155/2013/857821

A. E. Baroudi, F. Razafimahery

引用次数: 0

Abstract

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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空心圆柱Stokes本征模态的三维研究

本文研究了边界条件对有限深度流体介质的影响。我们确定了流体的频率和模态振型。假定流体不可压缩且具有粘性。在三维柱坐标下，利用势法求问题的通解。该方法是求解由线性化的Navier-Stokes方程得到的解析偏微分方程。通过有限元分析验证了该方法的有效性。所得结果与数值解吻合较好。研究了流体厚度对Stokes特征模态的影响。发现频率受到强烈影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Advances in Acoustics and Vibration ACOUSTICS-

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期刊介绍： The aim of Advances in Acoustics and Vibration is to act as a platform for dissemination of innovative and original research and development work in the area of acoustics and vibration. The target audience of the journal comprises both researchers and practitioners. Articles with innovative works of theoretical and/or experimental nature with research and/or application focus can be considered for publication in the journal. Articles submitted for publication in Advances in Acoustics and Vibration must neither have been published previously nor be under consideration elsewhere. Subject areas include (but are not limited to): Active, semi-active, passive and combined active-passive noise and vibration control Acoustic signal processing Aero-acoustics and aviation noise Architectural acoustics Audio acoustics, mechanisms of human hearing, musical acoustics Community and environmental acoustics and vibration Computational acoustics, numerical techniques Condition monitoring, health diagnostics, vibration testing, non-destructive testing Human response to sound and vibration, Occupational noise exposure and control Industrial, machinery, transportation noise and vibration Low, mid, and high frequency noise and vibration Materials for noise and vibration control Measurement and actuation techniques, sensors, actuators Modal analysis, statistical energy analysis, wavelet analysis, inverse methods Non-linear acoustics and vibration Sound and vibration sources, source localisation, sound propagation Underwater and ship acoustics Vibro-acoustics and shock.