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Influence of Magnetic Field on Micropolar Fluid Flow in a Cylindrical Tube Enclosing an Impermeable Core Coated with Porous Layer

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Abstract

In this research work, we have investigated the Stokesian flow of a micropolar fluid in a cylindrical tube enclosing an impermeable core coated with porous layer in the presence of magnetic field. The axis of the cylinder is taken along the direction of fluid flow and the uniform magnetic field is applied in the direction perpendicular to the axis of the cylinder. Using appropriate boundary conditions, fluid velocities, microrotational velocities and stresses are evaluated for corresponding fluid flow regions. Expressions for volumetric flow rate through the annulus and the filtration velocity are obtained. Graphs of linear velocities, microrotational velocities and flow rate for various values of different parameters are plotted and discussed.

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Funding

A.N. Filippov’s study was supported by RFBR (grant no. 19-08-00058).

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Authors and Affiliations

  1. Department of Mathematics, University of Allahabad, 211002 (U.P.), Prayagraj, India

    Satya Deo & Deepak Kumar Maurya

  2. Department of Mathematics, Prof. Rajendra Singh (Rajju Bhaiya) Institute of Physical Sciences for Study and Research, V. B. S. Purvanchal University, 222003 (U.P.), Jaunpur, India

    Deepak Kumar Maurya

  3. Department of Higher Mathematics, National University of Oil and Gas “Gubkin University”, 119991, Moscow, Russia

    A. N. Filippov

Authors
  1. Satya Deo
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  2. Deepak Kumar Maurya
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  3. A. N. Filippov
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Correspondence to A. N. Filippov.

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Satya Deo, Maurya, D.K. & Filippov, A.N. Influence of Magnetic Field on Micropolar Fluid Flow in a Cylindrical Tube Enclosing an Impermeable Core Coated with Porous Layer. Colloid J 82, 649–660 (2020). https://doi.org/10.1134/S1061933X20060022

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  • DOI: https://doi.org/10.1134/S1061933X20060022

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