The steady flow of incompressible and electrically conducting micropolar fluid flow through a rectangular channel is considered taking Hall and ionic effects into consideration. An external uniform magnetic field is applied which is directed arbitrary in a plane perpendicular to the flow direction. The governing partial differential equations are solved numerically using finite difference method, and the effects of micropolar parameters, magnetic parameter, Hall parameter and ion slip parameter on the velocity and microrotation are discussed.
The present study investigates magnetic, first-order chemical reaction, Soret and Dufour effects on electrically conducting micropolar fluid flow between two circular cylinders. The inner and outer surfaces of the annular cylinder are maintained at different constant wall temperature where the outer cylinder is rotating and inner cylinder remains stationary. The governing nonlinear partial differential equations are transformed into a system of ordinary differential equations (ODEs) using similarity transformations. The resulting equations are then solved for approximate analytical series solutions using homotopy analysis method (HAM). The effects of various parameters on the velocity, microrotation temperature and concentration are discussed and shown graphically.
Steady magnetohydrodynamic flow of an incompressible micropolar fluid through a pipe of circular cross-section is studied by considering Hall and ionic effects. The fluid motion is due to a constant pressure gradient, and an external uniform magnetic field directed perpendicular to the flow direction is applied. Expressions for the velocity, microrotation, skin friction and flow rate are obtained. The effects of the micropolar parameter, magnetic parameter, Hall parameter and ion-slip parameter on the velocity, microrotation, skin friction and flow rate are discussed.2000 Mathematics subject classification: primary 76A05; secondary 76W05.
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