A NOTE ON MEMORY-INTEGRAL CONTRIBUTIONS TO THE FORCE ON AN ACCELERATING SPHERICAL DROP AT LOW REYNOLDS-NUMBER

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The hydrodynamic force on a spherical drop that undergoes a translational acceleration in an unbounded fluid at low Reynolds number is considered. The force involves a memory-integral contribution that is not of the familiar form for a solid sphere. This result, in conjunction with the prior results of Lawrence and Weinbaum [J. Fluid Mech. 171, 208 (1986)] for a nonspherical particle, suggest that the form of the force law for a solid sphere is a very special case that is invalidated if there are any departures in either rigidity or shape from a solid sphere. In this Brief Communication the force on a spherical drop is evaluated for a number of limiting cases, after transforming the result from the Fourier-transform domain in which it is derived to the time domain.
Publisher
AMER INST PHYSICS
Issue Date
1991-07
Language
English
Article Type
Note
Citation

PHYSICS OF FLUIDS A-FLUID DYNAMICS, v.3, no.7, pp.1822 - 1824

ISSN
0899-8213
URI
http://hdl.handle.net/10203/57478
Appears in Collection
CBE-Journal Papers(저널논문)
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