THE FORCE ON A BUBBLE, DROP, OR PARTICLE IN ARBITRARY TIME-DEPENDENT MOTION AT SMALL REYNOLDS-NUMBER

被引:66
作者
LOVALENTI, PM
BRADY, JF
机构
[1] Department of Chemical Engineering 210-41, California Institute of Technology, Pasadena
来源
PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1993年 / 5卷 / 09期
关键词
D O I
10.1063/1.858550
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
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.
引用
收藏
页码:2104 / 2116
页数:13
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