Open Access

ARTICLE

MHD Effect on Relative Motion of Two Immiscible Liquid Spheres

by D.V. Jayalakshmamma¹, Dinesh P.A.², M. Sankar³, D.V. Ch,rashekhar⁴

1 Department of Mathematics, Vemana Institute of Technology, Bangalore-34, Karnataka, India. E-mail: jaya.dvj@gmail.com
2 Department of Mathematics, M. S. Ramaiah Institute of Technology, Bangalore-54, Karnataka, India. E-mail: dineshdpa@hotmail.com
3 Department of Mathematics, East Point College of Engineering and Technology, Bangalore-49, Karnataka, India. E-mail: manisankarir@yahoo.com
4 4Department of Mathematics, Vivekananda Institute of Technology, Bangalore-74, Karnataka, India. E-mail: dvchandru@yahoo.com

Fluid Dynamics & Materials Processing 2014, 10(3), 343-357. https://doi.org/10.3970/fdmp.2014.010.343

Abstract

We examine the motion of the two concentric immiscible liquid spheres with different viscosities in an electrically conducting fluid in the presence of transverse magnetic field. The inner sphere is assumed to move at a constant velocity. The Stoke’s equation along with the Lorentz force is considered to model the resulting fluid flow, analytical solutions being obtained by the similarity solution method in terms of modified Bessel’s functions. Streamlines related to the fluid circulation in the annulus between the two liquid spheres and inside the inner liquid sphere are presented for different combinations of the governing non-dimensional parameters.

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Keywords

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