Combine Impacts of Electrokinetic Variable Viscosity and Partial Slip on Peristaltic MHD Flow Through a Micro-channel

  • R. E. Abo-Elkhair
  • Kh. S. Mekheimer
  • A. M. A. MoawadEmail author
Research Paper


This article addresses the impacts of external electric field and thickness of the electric double layer (EDL) on peristaltic pumping of a fluid with variable viscosity through a micro-channel. Low Reynolds number and long wavelength assumptions have been used. The flow is measured in the wave frame of reference moving with a uniform velocity C. The systematic results are obtained for the velocity and pressure gradient distribution. Poisson Boltzmann equation has been solved to obtain the (electrical double layer) EDL potential distribution. The pressure rise data are extracted numerically. The diagrammatic sketch effect of various observing parameters on pressure rise, frictionless force, and axial velocity are drawing manually. The extension and contraction phenomenon of the whole bolus is also displayed in the end. It is recorded that the axial velocity deserves to provide the main characteristics of flow behavior in the micro-channel for micro-fluidic applications. Electrical and magnetic fields offer an excellent mode for regulating flows, and such a result is important at the time of surgery. In addition, an increase in the Reynolds model viscosity parameter \(\alpha \) reduces the size of a trapped bolus and ultimately vanishes when the viscosity parameter is large. Finally, with increasing Helmholtz–Smoluchowski velocity axial flow is decelerated and the trapped bolus decreases in size.


Peristaltic transport Magnetohydrodynamic flow Electro osmosis Variable viscosity Velocity slip 



Authors are very grateful to the anonymous referees for their valuable remarks and comments which significantly contributed to the quality of the paper.


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Copyright information

© Shiraz University 2017

Authors and Affiliations

  • R. E. Abo-Elkhair
    • 1
  • Kh. S. Mekheimer
    • 1
  • A. M. A. Moawad
    • 1
    Email author
  1. 1.Mathematical Department, Faculty of ScienceAl-Azhar UniversityNasr City, CairoEgypt

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