## Journal of Applied Mathematics

### Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field

Kh. S. Mekheimer

#### Abstract

We carry out the effect of the induced magnetic field on peristaltic transport of an incompressible conducting micropolar fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial velocity, microrotation component, stream function, magnetic-force function, axial-induced magnetic field, and current distribution across the channel. Expressions for the shear stresses are also obtained. The effects of pertinent parameters on the pressure rise per wavelength are investigated by means of numerical integrations, also we study the effect of these parameters on the axial pressure gradient, axial-induced magnetic field, as well as current distribution across the channel and the nonsymmetric shear stresses. The phenomena of trapping and magnetic-force lines are further discussed.

#### Article information

Source
J. Appl. Math., Volume 2008 (2008), Article ID 570825, 23 pages.

Dates
First available in Project Euclid: 10 February 2009

https://projecteuclid.org/euclid.jam/1234298352

Digital Object Identifier
doi:10.1155/2008/570825

Mathematical Reviews number (MathSciNet)
MR2466250

Zentralblatt MATH identifier
1158.76055

#### Citation

Mekheimer, Kh. S. Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field. J. Appl. Math. 2008 (2008), Article ID 570825, 23 pages. doi:10.1155/2008/570825. https://projecteuclid.org/euclid.jam/1234298352

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