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Micropolar fluid flow through the membrane composed of impermeable cylindrical particles coated by porous layer under the effect of magnetic field
Author(s) -
Yadav Pramod Kumar,
Jaiswal Sneha,
Puchakatla Jaikanth Yadav
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6016
Subject(s) - mechanics , hartmann number , permeability (electromagnetism) , magnetic field , flow velocity , materials science , magnetohydrodynamic drive , cylinder , porous medium , boundary layer , boundary value problem , porosity , flow (mathematics) , membrane , classical mechanics , magnetohydrodynamics , physics , mathematics , reynolds number , turbulence , geometry , chemistry , composite material , mathematical analysis , nusselt number , biochemistry , quantum mechanics
In the present work, the magnetohydrodynamic flow of a micropolar fluid through the membrane composed of impermeable cylindrical particles coated by porous layer is considered. The flow of a fluid is taken parallel to an axis of cylinder and a uniform magnetic field is applied in transverse direction of the flow. The problem is solved by using the cell model technique for the flow through assemblage of cylindrical particles. The solution of the problem has been obtained by using no‐slip condition, continuity of velocity and stresses at interfaces along with Happle's no‐couple stress condition as the boundary conditions. The expressions for the linear velocity, micro‐rotational velocity, flow rate and hydrodynamic permeability of the membrane are achieved in this work. The obtained solution for velocities is used to plot the graph against various transport parameters such as, Hartmann number, coupling parameter, porosity, scaling parameter etc. The effect of these transport parameters on the flow velocity, micro‐rotational velocity, and the hydrodynamic permeability of the membrane have been presented and discussed in this work.