Effects of an Induced Magnetic Field on the Peristaltic Flow of a Third-Order Fluid

被引:20
作者
Hayat, T. [1 ]
Khan, Yasir [1 ]
Mekheimer, Kh. S. [2 ]
Ali, Nasir [3 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[2] Al Azhar Univ, Fac Sci, Dept Math, Nasr City 11884, Cairo, Egypt
[3] Int Islam Univ, Fac Basic Appl Sci, Islamabad 44000, Pakistan
关键词
induced magnetic field; peristalsis; third order fluid; NEWTONIAN FLUID; GRADE FLUID; TRANSPORT; MOTION;
D O I
10.1002/num.20439
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we carry out the effect of an induced magnetic field on the peristaltic transport of an incompressible conducting third order fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wave length approximation. Analytical solutions have been established for the axial velocity, stream function, magnetic force function, and axial-induced magnetic field. The effects of pertinent parameters on the pressure rise per wavelength are investigated by using numerical integration. Besides this, we study the effect of these parameters on the pressure gradient and axial induced magnetic field. The phenomena of trapping and pumping are also discussed. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 345-366, 2010
引用
收藏
页码:345 / 366
页数:22
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