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Effects of a magnetic field on trapping through peristaltic motion for generalized Newtonian fluid in channel

Author

Listed:
  • El Naby, Abd El Hakeem Abd
  • El Misery, A.E.M.
  • Abd El Kareem, M.F.

Abstract

We investigate the effects of magnetic field on trapping at the centerline and at the channel wall for Carreau fluid through uniform channel. The problem is formulated using a perturbation method (to second order) in terms of Weissenberg number (Wi). It has been noted that the pressure rise and friction force for Newtonian and Carreau fluids increase with Hartmann number M except at certain values of volume flow rate. The trapping limit and the trapping occurrence region at the centerline increase with M but they are independent approximately of M at certain values of amplitude ratio. Furthermore, the trapping occurrence region (at the wall) decreases as M is increased. Also, the magnitude of vertical velocity and shearing extra stress increase with M in contraction region. The peristaltic pumping and the augmented pumping are discussed for various values of the physical parameters of interest.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:367:y:2006:i:c:p:79-92
    DOI: 10.1016/j.physa.2005.10.045
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    References listed on IDEAS

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    1. El Hakeem Abd El Naby, Abd & El Misery, A.E.M. & Abd El Kareem, M.F., 2004. "Separation in the flow through peristaltic motion of a carreau fluid in uniform tube," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 1-14.
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    Cited by:

    1. 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.
    2. Rashid, M. & Ansar, K. & Nadeem, S., 2020. "Effects of induced magnetic field for peristaltic flow of Williamson fluid in a curved channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    3. 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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    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.

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