Abstract
The present work deals with the influence of magnetic field on Newtonian fluid sandwiched between two porous cylindrical pipes which are filled with micropolar fluids. Fluid motion is occurring along the z*-axis and an applied magnetic field is taken in the direction perpendicular to the direction of fluid motion. On applying appropriate boundary conditions, velocity profiles, microrotations, flow rate, and shear stresses are obtained for the corresponding fluid regions. The graphs for volumetric flow rate and fluid velocity are plotted and discussed for different values of micropolar parameter, couple stress parameter, porosity, viscosity ratio parameter, Hartmann number, conductivity ratio parameters, and Darcy numbers.
Highlights
Micropolar fluids [1] consist of rigid, randomly oriented cylindrical/spherical particles, having microstructure and belong to a class of fluids with non-symmetric stress tensor
We investigated the Newtonian fluid which is sandwiched between two immiscible micropolar fluids flowing through coaxial porous cylindrical regions under the influence of external uniform magnetic field
Motions of fluids are happening along the axis of cylinders and the direction of magnetic field is taken as the direction perpendicular to fluid motion
Summary
In the presence of uniform magnetic field B∗, let us consider a steady, incompressible, electrically conducting, Newtonian and micropolar fluids, moving with uniform velocity U ∗ along the z∗-axis of coaxial porous cylinders. In the absense of magnetic field, body forces and body couples, governing equations of an incompressible steady micropolar fluid flow in the Eringen approach, are given by. Nowacki’s governing equations of an incompressible steady micropolar fluid flow through the porous cylindrical shells (0 ≤ r∗ ≤ a∗) and (b∗ ≤ r∗ ≤ c∗) in the presence of uniform magnetic field B∗, are given by. The governing equations for Newtonian fluid through the porous cylindrical shell (a∗ ≤ r∗ ≤ b∗), in the presence of uniform magnetic field and in the absense of body forces, are given by.
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