Numerical simulations of sink flow in the Hele-Shaw cell with small surface tension

被引：25

作者：

Kelly, ED ^{[1
]}

Hinch, EJ ^{[1
]}

机构：

[1] Univ Cambridge, DAMPT, Cambridge CB3 9EW, England

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 1997年 / 8卷

关键词：

D O I：

10.1017/S0956792597003203

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The motion of an initially circular drop of viscous fluid surrounded by inviscid fluid in a Hele-Shaw cell withdrawn from an eccentric point sink is considered. Using a numerical algorithm based on a boundary integral equation, the solution for small, finite surface tension is observed. It is found that the zero-surface-tension formation of a cusp is avoided, and instead a narrow finger of inviscid fluid forms, which then rapidly propagates towards the sink. The scaling of the finger in the sink vicinity is determined.

引用

页码：533 / 550

页数：18

共 14 条

[1]

Batchelor GK, 2000, An Introduction to Fluid Dynamics

[2] THE ILL-POSED HELE-SHAW MODEL AND THE STEFAN PROBLEM FOR SUPERCOOLED WATER [J].