Existence of a Hartmann layer in the peristalsis of Sisko fluid  

作　　者：Saleem Asghar Tayyaba Minhas Aamir Ali 

机构地区：[1]Department of Mathematics,COMSATS Institute of Information Technology [2]Department of Mathematics,King Abdul Aziz University [3]CNRS UMR 7351,Laboratoire Jean Alexandre Dieudonne,Universite de Nice Sophia Antipolis

出　　处：《Chinese Physics B》2014年第5期368-372,共5页中国物理B（英文版）

摘　　要：Analytical solutions for the peristaltic flow of a magneto hydrodynamic （MHD） Sisko fluid in a channel, under the effects of strong and weak magnetic fields, are presented. The governing nonlinear problem, for the strong magnetic field, is solved using the matched asymptotic expansion. The solution for the weak magnetic field is obtained using a regular perturbation method. The main observation is the existence of a Hartman boundary layer for the strong magnetic field at the location of the two plates of the channel. The thickness of the Hartmann boundary layer is determined analytically. The effects of a strong magnetic field and the shear thinning parameter of the Sisko fluid on the velocity profile are presented graphically.Analytical solutions for the peristaltic flow of a magneto hydrodynamic （MHD） Sisko fluid in a channel, under the effects of strong and weak magnetic fields, are presented. The governing nonlinear problem, for the strong magnetic field, is solved using the matched asymptotic expansion. The solution for the weak magnetic field is obtained using a regular perturbation method. The main observation is the existence of a Hartman boundary layer for the strong magnetic field at the location of the two plates of the channel. The thickness of the Hartmann boundary layer is determined analytically. The effects of a strong magnetic field and the shear thinning parameter of the Sisko fluid on the velocity profile are presented graphically.

关 键 词：magneto hydrodynamic Sisko fluid asymmetric channel Peristaltic flow non-Newtonian fluid 

分 类 号：O35[理学—流体力学]