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The force on a bubble, drop, or particle in arbitrary time-dependent motion at small Reynolds number

Lovalenti, Phillip M. and Brady, John F. (1993) The force on a bubble, drop, or particle in arbitrary time-dependent motion at small Reynolds number. Physics of Fluids A, 5 (9). pp. 2104-2116. ISSN 0899-8213. http://resolver.caltech.edu/CaltechAUTHORS:LOVpofa93

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Abstract

The hydrodynamic force on a body that undergoes translational acceleration in an unbounded fluid at low Reynolds number is considered. The results extend the prior analysis of Lovalenti and Brady [to appear in J. Fluid Mech. (1993)] for rigid particles to drops and bubbles. Similar behavior is shown in that, with the inclusion of convective inertia, the long-time temporal decay of the force (or the approach to steady state) at finite Reynolds number is faster than the t-1/2 predicted by the unsteady Stokes equations.


Item Type:Article
Additional Information:Copyright © 1993 American Institute of Physics. Received 1 December 1992; accepted 21 May 1993.
Subject Keywords:BUBBLES; DROPLETS; PARTICLES; MULTIPHASE FLOW; SUSPENSIONS; ACCELERATION; REYNOLDS NUMBER; FORCES; TIME DEPENDENCE; LAMINAR FLOW; VISCOUS FLOW
Record Number:CaltechAUTHORS:LOVpofa93
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:LOVpofa93
Alternative URL:http://dx.doi.org/10.1063/1.858550
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3080
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 May 2006
Last Modified:26 Dec 2012 08:52

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