Hall Effects on MHD Flow in a Rotating Channel in the Presence of an Inclined Magnetic Field

Bhaskar Chandra Sarkar; Sanatan  Das; Rabindra Nath Jana

doi:10.6180/jase.2014.17.3.04

Hall Effects on MHD Flow in a Rotating Channel in the Presence of an Inclined Magnetic Field

Bhaskar Chandra Sarkar¹, Sanatan Das This email address is being protected from spambots. You need JavaScript enabled to view it.² and Rabindra Nath Jana¹

¹Department of Applied Mathematics, Vidyasagar University, Midnapore 721 102, India
²Department of Mathematics, University of Gour Banga, Malda 732 103, India

Received: July 8, 2012
Accepted: August 20, 2014
Publication Date: September 1, 2014

Download Citation: ||https://doi.org/10.6180/jase.2014.17.3.04

ABSTRACT

MHD flow of a viscous incompressible electrically conducting fluid between two parallel plates in a rotating system in the presence of an inclined magnetic field has been studied on taking Hall currents into account. An exact solution of the governing equations has been obtained in closed form. Numerical results of the fluid velocity components and the shear stresses at the plates are being discussed graphically. It is observed that both Hall currents as well as the angle of inclination of the applied magnetic field have a retarding influence on the primary fluid velocity whereas they accelerate the secondary fluid velocity. The electric field components are being calculated and presented in tabular form. Asymptotic behavior of the solution has been analyzed for small as well as large values of magnetic parameter and rotation parameter. It is interesting to note that either for strong magnetic field or for large rotation there exists a single-deck boundary layer near the upper plate.

Keywords: MHD Flow, Hall Current, Magnetic Parameter, Rotation Parameter, Angle of Inclination

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