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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v29.i2.60
12 pages

On Evaluation of Frequencies and Associated Masses of a Fluid in a Rectangular Container with Partition Walls in the Cross Plane of Symmetry

D. A. Galitsyn
Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
V. A. Trotsenko
Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRACT

The paper proposes a technique for determination of the hydrodynamic coefficients of the equations of motion of a solid body with a cavity shaped like a rectangular parallelepiped when the body is in a transverse motion. This technique is based on solving the basic boundary-value problems by the modified method of conjugation of solutions and takes into account the singularities in the first-order derivatives of the unknown functions at the partition walls' edges. The efficiency of the algorithm and several results of evaluation of the frequencies and associated masses of a liquid filling the cavity are analyzed.


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