Hartmann Flow in a Rotating System in the Presence of Inclined Magnetic Field with Hall Effects

Hartmann flow of a viscous incompressible electrically conducting fluid in a rotating system in the presence of an inclined magnetic field is studied. Solution for the velocity and induced magnetic field, in dimensionless form, contains four pertinent parameters viz. M^2 (square of Hartmann number), K^2 (rotation parameter), m (Hall current parameter) and θ (angle of inclination of magnetic field). Asymptotic behavior of the solution is analyzed for small and large values of K^2 and M^2 to gain some physical insight into the flow-pattern. For large values of K^2 and M^2, the flow field is divided into two regions, namely, (1) boundary layer region and (2) central core region. The expressions for the shear stress at the plates of channel due to the primary and secondary flows and mass flow rates in the primary and secondary flow directions are derived. It is found that the maxima of velocity profiles occur near the walls of channel which indicate the formation of boundary layers near the walls. It is noticed that the magnetic field decreases fluid temperature whereas rotation, Hall current, angle of inclination and Prandtl number increase it.

並列關鍵字

Coriolis Force ； Hall Current ； Modified Hartmann Boundary Layer ； Modified Hydromagnetic Ekman Boundary Layer ； Viscous and Joule Dissipations

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