ONE-DIMENSIONAL MODEL OF TWO-PHASE FLUID DISPLACEMENT IN A SLOT WITH PERMEABLE WALLS

被引：1

作者：

Golovin, S. V. ^{[1
]}

Kazakova, M. Yu.

机构：

[1] Russian Acad Sci, Siberian Branch, Lavrentyev Inst Hydrodynam, Novosibirsk 630090, Russia

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2017年 / 58卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

Hele-Shaw cell with permeable walls; Saffman-Taylor instability; two-phase fluid; admixture; transportation; FLOW;

D O I：

10.1134/S0021894417010023

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A one-dimensional model is proposed for transportation of a two-phase fluid (sand-containing fluid and pure fluid) in the Hele-Shaw cell with permeable walls through which the pure fluid can leak off, causing the growth of the sand concentration. The model describes the process of pure fluid displacement with the emergence of the Saffman-Taylor instability and extends Koval's model to the case of sand concentration variation owing to pure fluid outflow through the cell walls. The Riemann problem is analyzed. New flow configurations, which are not predicted by Koval's model, are discovered.

引用

页码：17 / 30

页数：14

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