A Similar Flow Between Two Rotating Disks in the Presence of a Magnetic Field

[+] Author and Article Information
R. Usha, S. Vasudevan

Department of Mathematics, College of Engineering, Anna University, Madras, 600 025 India

J. Appl. Mech 60(3), 707-714 (Sep 01, 1993) (8 pages) doi:10.1115/1.2900862 History: Received June 11, 1991; Revised February 17, 1992; Online March 31, 2008


A similarity solution is obtained for a flow between two rotating parallel disks which, at time t * are spaced a distance H (1 − αt *)1/2 apart and a magnetic field proportional to B0 (1 − αt *)−1/2 is applied perpendicular to the disks. Approximate analytic solutions are given and a numerical solution to the resulting nonlinear ordinary differential equations is presented. The effects of magnetic forces on the velocity profiles, the normal forces and the torques which the fluid exerts on the disks are studied. It is observed that by increasing the magnetic force a considerable increase in the load can be achieved. Also, the torques are more sensitive to changes in the squeeze Reynolds number than to changes in the rotation Reynolds number.

Copyright © 1993 by The American Society of Mechanical Engineers
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