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Research Papers: Fluid-Structure Interaction

Standing Gravity Waves in a Horizontal Circular Eccentric Annular Tank

[+] Author and Article Information
Mohammad Nezami

Assistant Professor
Department of Mechanical Engineering,
Firoozkooh Branch,
Islamic Azad University,
Firoozkooh, Iran

Atta Oveisi

School of Mechanical Engineering,
Iran University of Science and Technology,
Tehran, Iran
e-mail: atta.oveisi@gmail.com

Mohammad Mehdi Mohammadi

School of Mechanical Engineering,
Iran University of Science and Technology,
Tehran, Iran

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received February 21, 2013; final manuscript received February 22, 2014; published online April 28, 2014. Assoc. Editor: Samir Ziada.

J. Pressure Vessel Technol 136(4), 041301 (Apr 28, 2014) (9 pages) Paper No: PVT-13-1038; doi: 10.1115/1.4026978 History: Received February 21, 2013; Revised February 22, 2014

Standing gravity waves in half-full horizontal cylindrical containers with eccentric tube are analyzed using the linear theory of water waves. The problem solution is obtained by the method of conformal coordinate transformation, leading to standard truncated matrix Eigen-value problem from which fluid motion characteristics (Eigen-frequencies and wave modes) are calculated. The effects of tube eccentricity and radius ratio upon the three lowest antisymmetric and symmetric sloshing frequencies and the associated hydrodynamic pressure mode shapes are examined. Also, convergence of the adopted approach with respect to the eccentricity condition, and radius ratio is discussed. Accuracy of the present analysis is checked by comparison with the known results of the limiting cases.

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Figures

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Fig. 1

Geometry of the problem

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Fig. 2

Conformal coordinate transformation

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Fig. 5

The first five wave modes of the liquid

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Fig. 6

First three antisymmetric (n = 1, 3, 5) and three symmetric (n = 2, 4, 6) dimensionless sloshing frequencies as a function of the radius ratio, r1/r2, and eccentricity e

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Fig. 4

Compartmentalization of the fluid region by streamlines

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Fig. 3

Variation of the wave motion frequencies with radii ratio and eccentricity parameter

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