Boundary integral analysis of the creeping flow of long bubbles in capillaries

被引：51

作者：

Martinez, M. J. ^{[1
]}

Udell, K. S. ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1989年 / 56卷 / 01期

关键词：

D O I：

10.1115/1.3176049

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A boundary integral analysis of the creeping motion of a long inviscid bubble in a liquid filled tube is presented. The effects of interfacial surface tension are included in the stress balance across the liquid-bubble interface. Velocities, stresses, and the bubble profile are obtained as a function of the capillary number. Computed values of the thickness of the liquid film between the bubble and tube wall are in excellent agreement with published experimental measurements. The results are of interest in exposing the role of surface tension in multiphase flow in capillary tubes and porous materials.

引用

页码：211 / 217

页数：7

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