Unsteady magnetohydrodynamic flows in a rotating elastico-viscous fluid

Astronomy and Astrophysics – Astrophysics

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Incompressible Fluids, Magnetic Field Configurations, Magnetohydrodynamic Flow, Magnetohydrodynamic Stability, Mathematical Models, Rotating Fluids, Velocity Distribution, Viscoelasticity, Viscous Fluids, Binomial Coefficients, Boundary Conditions, Laplace Transformation, Power Series, Ramp Functions, Stokes Flow

Scientific paper

This paper points out the errors in the solutions of a research work by N. Nanousis under the same title published in this journal, volume 199, 1993. The correct solutions of the problem for the velocity field and the drag on the plate, by the Laplace transform technique, are presented. The results are discussed for two cases of an arbitrary time-dependent forcing effect. It is shown that the viscoelastic parameter k greater than 0 influences the velocity and introduces reverse flow. For a suddenly accelerated plate, k greater than 0 increases the velocity for z less than the square root of 2t and decreases it for z greater than the square root of 2t. In the case of the ramp-type boundary condition, k greater than 0 tends to decrease the velocity.

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