Asymptotic solutions for the asymmetric flow in a channel with porous retractable walls under a transverse magnetic field

被引：0

作者：

Hongxia GUO ^{[1
]}

Ping LIN ^{[1
,2
]}

Lin LI ^{[3
]}

机构：

[1] Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface Science,School of Mathematics and Physics, University of Science and Technology Beijing

[2] Division of Mathematics, University of Dundee

[3] School of Mathematics and Physics, University of South China

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2018年 / 39卷 / 08期

基金：

中国国家自然科学基金; 中央高校基本科研业务费专项资金资助;

关键词：

laminar flow; asymmetric flow; asymptotic solution; porous and retractable channel; magnetic field;

D O I：

暂无

中图分类号：

O441 [电磁学];

学科分类号：

0809 ;

摘要：

The self-similarity solutions of the Navier-Stokes equations are constructed for an incompressible laminar flow through a uniformly porous channel with retractable walls under a transverse magnetic field. The flow is driven by the expanding or contracting walls with different permeability. The velocities of the asymmetric flow at the upper and lower walls are different in not only the magnitude but also the direction. The asymptotic solutions are well constructed with the method of boundary layer correction in two cases with large Reynolds numbers, i.e., both walls of the channel are with suction, and one of the walls is with injection while the other one is with suction. For small Reynolds number cases, the double perturbation method is used to construct the asymptotic solution. All the asymptotic results are finally verified by numerical results.

引用

页码：1147 / 1164

页数：18

共 12 条

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