Existence of a Hartmann layer in the peristalsis of Sisko fluid

doi:10.1088/1674-1056/23/5/054702

Abstract 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.

Keywords: magneto hydrodynamic Sisko fluid asymmetric channel Peristaltic flow non-Newtonian fluid

Received: 07 June 2013
Revised: 26 September 2013
Accepted manuscript online:

PACS:	47.40.Rs	(Detonation waves)
	47.40.-x	(Compressible flows; shock waves)
	47.35.Tv	(Magnetohydrodynamic waves)
	47.65.-d	(Magnetohydrodynamics and electrohydrodynamics)

Corresponding Authors: Aamir Ali
E-mail: aamir.ali@unice.fr

About author: 47.40.Rs; 47.40.-x; 47.35.Tv; 47.65.-d

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Saleem Asghar, Tayyaba Minhas, Aamir Ali Existence of a Hartmann layer in the peristalsis of Sisko fluid 2014 Chin. Phys. B 23 054702

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