A note on memory-integral contributions to the force on an accelerating spherical drop at low Reynolds number
- 1 July 1991
- journal article
- Published by AIP Publishing in Physics of Fluids A: Fluid Dynamics
- Vol. 3 (7) , 1822-1824
- https://doi.org/10.1063/1.858202
Abstract
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.Keywords
This publication has 1 reference indexed in Scilit:
- The force on an axisymmetric body in linearized, time-dependent motion: a new memory termJournal of Fluid Mechanics, 1986