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：

SAFFMAN-TAYLOR FINGERS; SURFACE-TENSION; ANALYTIC THEORY; DIRECTIONAL SOLIDIFICATION; PATTERN SELECTION; VELOCITY; GEOMETRY;

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

页码：1687 / 1690

页数：4

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