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Published November 1993 | Published
Journal Article Open

The force on a sphere in a uniform flow with small-amplitude oscillations at finite Reynolds number

Abstract

The unsteady force acting on a sphere that is held fixed in a steady uniform flow with small-amplitude oscillations is evaluated to O(Re) for small Reynolds number Re. Good agreement is shown with the numerical results of Mei, Lawrence & Adrian (1991) up to Re [approximate] 0.5. The analytical result is transformed by Fourier inversion to allow for an arbitrary time-dependent motion which is small relative to the steady uniform flow. This yields a history-dependent force which has an integration kernel that decays exponentially for large time.

Additional Information

Copyright © 1993 Cambridge University Press. Reprinted with permission. (Received 1 December 1992 and in revised form 27 May 1993) P.M.L. would like to acknowledge Rockwell International for their support through a Rockwell graduate research fellowship

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August 22, 2023
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