The force on a bubble, drop, or particle in arbitrary time-dependent motion at small Reynolds number
- 1 September 1993
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids A: Fluid Dynamics
- Vol. 5 (9) , 2104-2116
- https://doi.org/10.1063/1.858550
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.Keywords
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