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

[+] Author and Article Information
E. A. Hamza

School of Mathematical Sciences, University of Khartoum, Khartoum, Sudan

J. Appl. Mech 56(1), 218-221 (Mar 01, 1989) (4 pages) doi:10.1115/1.3176050 History: Received September 04, 1987; Revised May 15, 1988; Online July 21, 2009


A similarity solution may be obtained for a flow between two parallel disks which, at time t* , are spaced a distance H (1 − αt* )1/2 apart and a magnetic field proportional to B 0 (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 the magnetic forces on the velocity profiles and on the normal forces which the fluid exerts on the disks are studied. It has been found that by increasing the magnetic force a considerable increase in the load can be achieved.

Copyright © 1989 by ASME
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