Abstract
The plane problem of the motions of a three-layer fluid initiated by the oscillations of a circular cylinder is solved in the linear formulation in the Boussinesq approximation. The cylinder is completely immersed in the linearly stratified middle layer, and the upper and lower layers are homogeneous and bounded by rigid horizontal walls. The fluid is assumed to be ideal and incompressible. The added mass and damping coefficients are calculated as functions of the oscillation frequency of the cylinder and the layer thicknesses.
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Sturova, I.V. Oscillations of a Circular Cylinder in a Linearly Stratified Fluid. Fluid Dynamics 36, 478–488 (2001). https://doi.org/10.1023/A:1019248404743
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DOI: https://doi.org/10.1023/A:1019248404743