Hall and Porous Boundaries Effects on Peristaltic Transport Through Porous Medium of a Maxwell Model

被引：76

作者：

El Koumy, Soliman R. ^{[2
]}

Barakat, El Sayed I. ^{[2
]}

Abdelsalam, Sara I. ^{[1
]}

机构：

[1] British Univ Egypt, Dept Basic Sci, Fac Engn, Al Shorouk City 11837, Cairo, Egypt

[2] Helwan Univ, Fac Sci, Dept Math, Cairo, Egypt

来源：

TRANSPORT IN POROUS MEDIA | 2012年 / 94卷 / 03期

关键词：

Peristaltic transport; Maxwell fluid; Hall effect; Porous medium; Porous boundaries; FLUID; FLOW;

D O I：

10.1007/s11242-012-0016-y

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

Peristaltic motion induced by sinusoidal traveling wave of incompressible, electrically conducting Maxwell fluid in the porous walls of a two-dimensional channel through a porous medium has been investigated in the presence of a constant magnetic field. The Hall effect has been taken into account. Modified Darcy's law has been used in the flow modeling. The fluid entering the flow region through one plate is considered at the same rate as it is leaving through the other plate. The problem is formulated using a perturbation expansion in terms of small amplitude ratio. We have discussed the problem only for free pumping case. This work can be considered as mathematical modeling to the case of gall bladder with stones. Finally, the effects of various parameters of interest are discussed and shown graphically.

引用

页码：643 / 658

页数：16