Slip and Induced Magnetic Field Effects on the Peristaltic Transport of a Johnson-Segalman Fluid

T.Hayat; S.Noreen; A.Alsaedi

doi:10.3879/j.issn.1000-0887.2012.08.006

Volume 33 Issue 8

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T.Hayat, S.Noreen, A.Alsaedi. Slip and Induced Magnetic Field Effects on the Peristaltic Transport of a Johnson-Segalman Fluid[J]. Applied Mathematics and Mechanics, 2012, 33(8): 974-987. doi: 10.3879/j.issn.1000-0887.2012.08.006

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Slip and Induced Magnetic Field Effects on the Peristaltic Transport of a Johnson-Segalman Fluid

doi: 10.3879/j.issn.1000-0887.2012.08.006

¹Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;²Department of Mathematics, Comsats Institute of Information Technology, Attock 43600, Pakistan;³Department of Mathematics, Faculty of Science, King Adbulaziz University,Jeddah 21589, Saudi Arabia

Received Date: 2011-01-04
Rev Recd Date: 2012-04-25
Publish Date: 2012-08-15

Abstract

Abstract

Peristaltic flow of a Johnson-Segalman fluid in a planar channel was investigated in the presence of an induced magnetic field and slip condition. Symmetric nature of flow in a channel was adopted. The velocity slip condition in terms of shear stress was taken into account. Mathematical formulation was first presented and then the subjected equations were solved under the long wavelength and low Reynolds number approximations. Perturbations solutions were established for the pressure rise, axial velocity, microrotation component, stream function, magnetic-force function, axial induced magnetic field, and current distribution across the channel. Solution expressions for small Weissenberg number were derived. The flow quantities of interest were sketched and analyzed.
- induced magnetic field,
- slip condition,
- Johnson-Segalman fluid

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References(35)

References

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