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The Maxwellian peristaltic transport of the MHD flow via elastic channel

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Abstract

The study of peristalsis is a subject of active interest in different fields due to a wide variety of applications including chemical engineering, electronics, physiology as well as in biomedicines. This paper focuses on studying the magnetohydrodynamic peristaltic motion of Maxwell’s viscous compressible fluid through a two-dimensional duct with an elastic flexible wall via a porous medium. The combined impacts of a magnetic flux density, physical parameters, permeability parameter, and the elastic wall features on the flow are the focus of attention. To get the solution of the governing equations, the perturbation approach is used and takes the small amplitude ratio. In the second approximate order, the analytical relations of average velocity at the channel's axis and the perturbation function of average velocity are introduced and discussed graphically under different values of interest parameters. The results indicate that the dynamic behavior of the flow as the elastic artery wall damping decreases the blood velocity, and the magnetic flux also reduces the blood velocity near the boundaries of the artery. The accumulation of fats induces the porosity that limits movement that can adversely affect the heart.

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Acknowledgements

The authors are thankful for the Taif University research supporting project number (TURSP-2020/304), Taif University, Taif, Saudi Arabia.

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Authors and Affiliations

  1. Basic Engineering Sciences Department, Faculty of Engineering, University of Menofia, Shebin El-Kom, Egypt

    Islam M. Eldesoky

  2. Basic Engineering Sciences Department, Elmenofia Higher Institute of Engineering and Technology, El-Menofia, Egypt

    Islam M. Eldesoky

  3. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

    Hammad Alotaibi

  4. Physics and Engineering Mathematics Department, Faculty of Engineering, University of Tanta, Tanta, Egypt

    Hagar M. Raslan, Mohammed S. Nayel & Abdallah A. Galal

Authors
  1. Islam M. Eldesoky
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  2. Hammad Alotaibi
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  4. Mohammed S. Nayel
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  5. Abdallah A. Galal
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Contributions

Conceptualization, I.M., and HM.; methodology, IM., HA., HM, MS, and AA; software, JI.; validation, YR., and HA.; formal analysis, YA., HA., JI and UA; investigation,, IM; resources, HM, and AA.; data curation, MS.; writing—original draft preparation, IM., HA., HM, MS, and AA.; writing—review and editing, IM., and HA.; visualization, AA.; supervision, IM.; project administration, IS. and HM. All authors have read and agreed to the published version of the manuscript.

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Correspondence to Hammad Alotaibi.

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Eldesoky, I.M., Alotaibi, H., Raslan, H.M. et al. The Maxwellian peristaltic transport of the MHD flow via elastic channel. Eur. Phys. J. Plus 137, 388 (2022). https://doi.org/10.1140/epjp/s13360-022-02549-2

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  • DOI: https://doi.org/10.1140/epjp/s13360-022-02549-2

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