Lovalenti, Phillip M. and Brady, John F. (1993) The force on a sphere in a uniform flow with small-amplitude oscillations at finite Reynolds number. Journal of Fluid Mechanics, 256 . pp. 607-614. ISSN 0022-1120 http://resolver.caltech.edu/CaltechAUTHORS:LOVjfm93b
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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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|Deposited On:||21 Oct 2008 06:30|
|Last Modified:||26 Dec 2012 10:26|
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