SELF-DILATING VISCOUS FINGERS IN WEDGE-SHAPED HELE-SHAW CELLS

被引：23
|
作者：
BENAMAR, M
HAKIM, V
MASHAAL, M
COUDER, Y
机构：
[1] UNIV PARIS 06, F-75231 PARIS 05, FRANCE
[2] UNIV PARIS 07, F-75221 PARIS 05, FRANCE
来源：
PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1991年 / 3卷 / 07期
关键词：
D O I：
10.1063/1.858222
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Viscous fingering in a wedge-shaped Hele-Shaw cell is analyzed. The shape of a self-dilating viscous finger is shown to obey a time-independent nonlinear integrodifferential equation that is solved numerically. The results show that there is a continuum of zero-surface-tension solutions for any wedge angle between 0 and pi/2. When surface tension is taken into account only a discrete set of solutions exist. In contrast to the classical case, different branches merge for finite values of the surface tension parameter.
引用
收藏
页码：1687 / 1690
页数：4
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