Abstract
The transient flow of a viscous incompressible and electrically conducting fluid between two parallel plates is analyzed analytically when lower plate moves with a ramped velocity. The velocity of magnetic field, applied perpendicular to the plates is taken to be different from the velocity of lower plate. The induced magnetic field is taken to be negligible. The analytical solution is obtained by using the Laplace transform technique. The numerical results obtained for the dimensionless velocity and skin-friction coefficient are presented by graphs and tables for various values of magnetic parameter, velocity of magnetic field and time. It is found that the effect of velocity of magnetic field is to increase the velocity of fluid from upper plate to lower plate. The effect of magnetic parameter on the velocity of fluid and skin-friction at the lower plate depends upon the velocity of magnetic field.
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