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      Steady Magnetohydrondynamic Natural Convection Coutte Flow With Variable Electrical Conductivity

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          Abstract

          The steady MAGNETOHYDRODYNAMIC natural convection coutte flow of viscous incompressible and electrically conducting fluid having variable electrical conductivity between two parallel plates when one of the plate is set into motion is studied. The dimensionless differential equations as well as energy equations are solved analytically using the method of undetermined coefficient. The analytical solution are presented numerically inform of line graphs given interms of velocity and skin friction. The result reveal that the effect of the Hartmann number and grashof number are to reduce and increase the velocity respectively. Similarly the skin friction on the moving and stationary plates increase with Grashof number and decreases with increase in Hartmann, a comparetive study review that the effect of Hartmann number and grashof number on velocity and skin friction are same.

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          Author and article information

          Journal
          ScienceOpen Preprints
          ScienceOpen
          6 December 2020
          Affiliations
          [1 ] Department of Mathematics, Ahmadu Bello University, Zaria Kaduna State Nigeria.
          Article
          10.14293/S2199-1006.1.SOR-.PPY5AXN.v1

          This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

          All data generated or analysed during this study are included in this published article (and its supplementary information files).

          Engineering, Physics, Mathematics

          MAGNETOHYDRODYNAMIC, Natural Convection, Hartmann number, Coutte flow, Variable electrical conductivity, Grashof number, Velocity, Skin friction

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