The rule of affine similitude for the force coefficients of a body oscillating in a uniformly stratified fluid |
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Authors: | E V Ermanyuk |
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Institution: | (1) Lavrentyev Institute of Hydrodynamics, Siberian Division of Russian Academy of Science, Novosibirsk 630090, Russia e-mail: ermanyuk@hydro.nsc.ru Tel.: +7-3832-332553, Fax: +7-3832-331612, RU |
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Abstract: | This paper presents a study on affine similitude for the force coefficients of an arbitrary body oscillating in a uniformly
stratified fluid. A simple formula is derived that gives a relation between the force coefficients for a body oscillating
in homogeneous and uniformly stratified ideal fluids. In particular, it implies the existence of a universal nondimensional
similitude criterion for a family of affinely similar bodies, namely, the bodies that can be transformed into each other by
vertical dilation of the initial coordinate system. Theoretical results are verified by experiments with a set of spheroids
having different length-to-diameter ratios. The experimental technique for evaluation of the frequency-dependent force coefficients
is based on Fourier analysis of the time-history of damped oscillation tests.
Received: 25 September 2000 / Accepted: 6 July 2001 Published online: 29 November 2001 |
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Keywords: | Affine similitude Stratification Internal waves Added mass Damping |
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