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

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  • 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.

Suggested Citation

  • Kh. S. Mekheimer, 2008. "Peristaltic Flow of a Magneto‐Micropolar Fluid: Effect of Induced Magnetic Field," Journal of Applied Mathematics, John Wiley & Sons, vol. 2008(1).
    • Handle: RePEc:wly:jnljam:v:2008:y:2008:i:1:n:570825
    DOI: 10.1155/2008/570825
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    References listed on IDEAS

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    1. Hayat, T. & Ali, N., 2006. "Peristaltically induced motion of a MHD third grade fluid in a deformable tube," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 225-239.
    2. Wang, Yongqi & Hayat, Tasawar & Ali, Nasir & Oberlack, Martin, 2008. "Magnetohydrodynamic peristaltic motion of a Sisko fluid in a symmetric or asymmetric channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 347-362.
    3. Moustafa Elshahed & Mohamed H. Haroun, 2005. "Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field," Mathematical Problems in Engineering, Hindawi, vol. 2005, pages 1-15, January.
    4. Eldabe, N.T.M. & El-Sayed, M.F. & Ghaly, A.Y. & Sayed, H.M., 2007. "Peristaltically induced transport of a MHD biviscosity fluid in a non-uniform tube," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 253-266.
    5. Kh. S. Mekheimer & T. H. Al-Arabi, 2003. "Nonlinear peristaltic transport of MHD flow through a porous medium," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-20, January.
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