Biophysical Reviews

, Volume 11, Issue 2, pp 139–147 | Cite as

Numerical study of hydromagnetic axisymmetric peristaltic flow at high Reynolds number and wave number

  • A. H. HamidEmail author
  • Tariq Javed
  • N. Ali


The computational study of MHD peristaltic motion is investigated for axisymmetric flow problem. The developed model is present in the form of partial differential equations. Then obtained partial differential equations are transferred into stream-vorticity (ψ − ω) form. Then Galerkin Finite element method is used to find the computational results of governing problem. The current study is compared with the existing well-known results at low Reynolds number and wave number. It is revealed that the present results are in well agreement with existing results in the literature. So, it is effective for higher values of Reynolds number and wave number. The variations of streamline are present graphically against high Reynolds number. It concludes that high Reynolds number and Hartmann number increase pressure rise per unit wavelength in positive pumping region sharply.


Peristaltic motion High Reynolds numbers MHD Finite element method 


Compliance with ethical standards

Conflict of interest

A. H. Hamid declares that he has no conflict of interest. Tariq Javed declares that he has no conflict of interest. N. Ali declares that he has no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.


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Copyright information

© International Union for Pure and Applied Biophysics (IUPAB) and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsInternational Islamic University IslamabadIslamabadPakistan

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