Existence of a Hartmann layer in the peristalsis of Sisko fluid

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

中国物理B ›› 2014, Vol. 23 ›› Issue (5): 54702-054702.doi: 10.1088/1674-1056/23/5/054702

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Existence of a Hartmann layer in the peristalsis of Sisko fluid

Saleem Asghar^{a b}, Tayyaba Minhas^a, Aamir Ali^{a c}

a Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan;
b Department of Mathematics, King Abdul Aziz University, Jeddah 21432, Saudi Arabia;
c CNRS UMR 7351, Laboratoire Jean Alexandre Dieudonne, Universite de Nice Sophia Antipolis, Parc Valrose, Nice 06108, France

收稿日期:2013-06-07 修回日期:2013-09-26 出版日期:2014-05-15 发布日期:2014-05-15

Existence of a Hartmann layer in the peristalsis of Sisko fluid

Saleem Asghar^{a b}, Tayyaba Minhas^a, Aamir Ali^{a c}

a Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan;
b Department of Mathematics, King Abdul Aziz University, Jeddah 21432, Saudi Arabia;
c CNRS UMR 7351, Laboratoire Jean Alexandre Dieudonne, Universite de Nice Sophia Antipolis, Parc Valrose, Nice 06108, France

Received:2013-06-07 Revised:2013-09-26 Online:2014-05-15 Published:2014-05-15
Contact: Aamir Ali E-mail:aamir.ali@unice.fr
About author:47.40.Rs; 47.40.-x; 47.35.Tv; 47.65.-d

摘要/Abstract

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.

关键词: magneto hydrodynamic Sisko fluid, asymmetric channel, Peristaltic flow, non-Newtonian fluid

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.

Key words: magneto hydrodynamic Sisko fluid, asymmetric channel, Peristaltic flow, non-Newtonian fluid

中图分类号: (Detonation waves)

47.40.Rs

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

Saleem Asghar, Tayyaba Minhas, Aamir Ali. Existence of a Hartmann layer in the peristalsis of Sisko fluid[J]. 中国物理B, 2014, 23(5): 54702-054702.

Saleem Asghar, Tayyaba Minhas, Aamir Ali. Existence of a Hartmann layer in the peristalsis of Sisko fluid[J]. Chin. Phys. B, 2014, 23(5): 54702-054702.

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Existence of a Hartmann layer in the peristalsis of Sisko fluid

Existence of a Hartmann layer in the peristalsis of Sisko fluid

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