Journal of Fluid Mechanics

The temporal behaviour of the hydrodynamic force on a body in response to an abrupt change in velocity at small but finite Reynolds number

Phillip M.  Lovalenti a1p1 and John F.  Brady a1
a1 Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA

Article author query
lovalenti pm   [Google Scholar] 
brady jf   [Google Scholar] 


A modification to the O(Re)-accurate expression for the hydrodynamic force acting on a body in arbitrary time-dependent motion, determined by Lovalenti & Brady (1993), is presented. This simple modification captures the O(Re2) transient behaviour of the force, which has been recently shown to dominate at large time (Lawrence & Mei 1995), while maintaining the overall O(Re) accuracy.

(Published Online April 26 2006)
(Received March 29 1994)
(Revised February 8 1995)

p1 Current Address: Los Alamos National Laboratory, Los Alamos, NM 87545, USA.

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