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Peristaltically induced transport of a MHD biviscosity fluid in a non-uniform tube

Author

Listed:
  • Eldabe, N.T.M.
  • El-Sayed, M.F.
  • Ghaly, A.Y.
  • Sayed, H.M.

Abstract

We have analyzed an incompressible flow of electrically conducting biviscosity fluid through an axisymmetric non-uniform tube with a sinusoidal wave under the considerations of long wavelength and low Reynolds number. In our analysis we are taking into account the induced magnetic field. The analytic solution has been obtained from which the axial velocity, the axial induced magnetic field and the axial pressure gradient have been derived. The results for the pressure rise ΔPλ(t), frictional force per wavelength Fλ(t) and the axial induced magnetic field hz have been computed numerically and the results were studied for various values of the physical parameters of interest, such as the magnetic Prandtl number pm, the magnetic field parameter M, the Reynolds number Re, the upper limit apparent viscosity coefficient β, and the time averaged mean flow rate θ.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:383:y:2007:i:2:p:253-266
    DOI: 10.1016/j.physa.2007.05.027
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    References listed on IDEAS

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    1. El Naby, Abd El Hakeem Abd & El Misery, A.E.M. & Abd El Kareem, M.F., 2006. "Effects of a magnetic field on trapping through peristaltic motion for generalized Newtonian fluid in channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 79-92.
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    Cited by:

    1. Mekheimer, Kh.S. & Abd elmaboud, Y., 2008. "Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2403-2415.

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