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.
Standing Gravity Waves in a Horizontal Circular Eccentric Annular Tank
Department of Mechanical Engineering,
Iran University of Science and Technology,
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.
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Nezami, M., Oveisi, A., and Mehdi Mohammadi, M. (April 28, 2014). "Standing Gravity Waves in a Horizontal Circular Eccentric Annular Tank." ASME. J. Pressure Vessel Technol. August 2014; 136(4): 041301. https://doi.org/10.1115/1.4026978
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