Free Oscillations of Spheroids on the Elastic Spring In a Viscous Fluid

Author(s)
P.R. Andronov, Institute of mechanics, Moscow State University, Moscow, Russia
S.V. Guvernyuk, Institute of mechanics, Moscow State University, Moscow, Russia
G.Ya. Dynnikova, Institute of mechanics, Moscow State University, Moscow, Russia

Abstract
There is solved numerically the conjugate problem of the oscillations of the axisymmetric ellipsoids, fixed at the end of the elastic spring, in the space, filled with the incompressible and viscous fluid. There is used the non-grid method of the viscous vortex domains. There are shown the boundaries of usefulness for the simplified formulas for the calculation of the non-stationary drag force, taking into account the main stationary component, the influence of the attached mass and the influence of the history of the body motion. It is found that these formulas are more appropriate when the Reynolds numbers are of the order of 102 and the axisymmetric ellipsoids are more elongated.

Keywords
viscous fluid, spheroid, elastic spring, oscillations

Cite this paper
P.R. Andronov, S.V. Guvernyuk, G.Ya. Dynnikova, Free Oscillations of Spheroids on the Elastic Spring In a Viscous Fluid, SCIREA Journal of Mechanics. Vol. 2 , No. 1 , 2017 , pp. 1 - 10 .

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