Polubarinova-Galin Equation for Hele-Shaw Flows with Two Free Boundaries

被引：0
|
作者：
Alimov, M. M. [1 ]
机构：
[1] Kazan Fed Univ, Kazan 420008, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 10期
关键词：
complex variable; potential flows; FLUID;
D O I：
10.1134/S1995080223100049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive the Polubarinova-Galin equation for unsteady Hele-Shaw flows in the case when the flow region has two free boundaries. We find two variants of this equation. To test both variants of the equation, we analyzed an example of the evolution of a ''liquid ring'' in a Hele-Shaw cell under the action of a fixed pressure drop inside and outside the ring.
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页码：4418 / 4428
页数：11
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