HOMOGENIZATION OF 2-PHASE EMULSIONS

被引：6
|
作者：
LIPTON, R
VERNESCU, B
机构：
[1] Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA, 01609
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1994年 / 124卷
基金：
美国国家科学基金会;
关键词：
D O I：
10.1017/S0308210500030146
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an emulsion of two Stokes fluids, one of which is periodically distributed in the form of small spherical bubbles. The effects of surface tension on the bubble boundaries are modelled mathematically, as in the work of G. I. Taylor, by a jump only in the normal component of the traction. For a given volume fraction of bubbles, we consider the two-scale convergence, and in the fine phase limit we find that the bulk flow is described by an anisotropic Stokes fluid. The effective viscosity tenser is consistent with the bulk stress formula obtained by Batchelor [2].
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页码：1119 / 1134
页数：16
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