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MHD Flow of a Viscous Fluid Between Dilating and Squeezing Porous Walls

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Abstract

In this article, flow of laminar, isothermal, incompressible electrically conducting viscous fluid is considered in a rectangular domain with infinite length and bounded by two orthogonally moving porous walls that enable the fluid to enter or exit during successive contractions or expansions. Problem’s solution is approximated using Variation of Parameters Method (VPM). To investigate the effect of non-dimensional wall deformation α, permeation Reynolds number R and magnetic parameter M on the flow field, graphical results are presented. Analytical solution obtained by (VPM) is supported by numerical results and they both agree. The study of the flow between dilating or squeezing porous walls is drastic simplification of the transport of biological fluids through dilating or squeezing vessels.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan

    Naveed Ahmed

  2. Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, Samsun, Turkey

    Vedat Suat Erturk

  3. Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan

    Umar Khan

  4. University of Islamabad (UoI), Islamabad, Pakistan

    Syed Mohyud-Din

  5. Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia

    Bandar Bin-Mohsin

Authors
  1. Naveed Ahmed
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  2. Vedat Suat Erturk
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  3. Umar Khan
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  4. Syed Mohyud-Din
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  5. Bandar Bin-Mohsin
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Correspondence to Vedat Suat Erturk.

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Ahmed, N., Erturk, V.S., Khan, U. et al. MHD Flow of a Viscous Fluid Between Dilating and Squeezing Porous Walls. Iran J Sci Technol Trans Sci 41, 951–956 (2017). https://doi.org/10.1007/s40995-017-0319-5

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  • DOI: https://doi.org/10.1007/s40995-017-0319-5

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