Title: Magnetohydrodynamics effect on rotating free surface flow of micropolar fluid in a cylindrical container with porous lining

Authors: G. Nagaraju; Kolla Kaladhar; K.S. Sai

Addresses: Department of Engineering Mathematics, GITAM University, Hyderabad, Andhra Pradesh, India ' Department of Mathematics, National Institute of Technology Puducherry, Karaikal, Puducherry, India ' Department of Mathematics, DMSSVH College of Engineering, Machilipatnam, Krishna District, Andhra Pradesh, India

Abstract: The problem of free surface on electrically conducting micropolar fluid contained in a rotating vertical cylinder of radius a with inner porous lining under radial magnetic field is presented numerically. The problem is formulated with Beavers and Joseph slip condition at the porous lining boundary. The dimensionless governing equations are solved by employing a finite difference method. The expression of free surface, velocity profiles and the coefficient of skin friction on cylinder are calculated. The effects of various emerging parameters of the present study on velocity, micro-rotation and skin friction are discussed and depicted through plots.

Keywords: micropolar fluids; radial magnetic field; porous lining; finite difference method; FDM; magnetohydrodynamics; rotating flow; free surface flow; cylindrical containers; velocity profiles; micro-rotation; skin friction.

DOI: 10.1504/IJDSDE.2015.071001

International Journal of Dynamical Systems and Differential Equations, 2015 Vol.5 No.3, pp.191 - 205

Available online: 04 Aug 2015 *

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