• EFFECT OF MAGNETIC FIELD ON THE FLOW OF DUSTY INCOMPRESSIBLE VISCO-ELASTIC SECOND ORDER OLDROYD FLUID THROUGH A RECTANGULAR CHANNEL

Gaurav Mishra, Ravindra Kumar*, K. K. Singh

Abstract


The purpose of the present study is to analyse the effect of uniform magnetic field applied perpendicularly to the unsteady flow of a dusty incompressible visco-elastic second order Oldroyd fluid under the influence of transient pressure gradient through a long rectangular channel. The problem has been solved in the generalized visco-elastic model and the velocity fields for visco-elastic fluid and the dust particles have been derived analytically in the closed form. The particular cases corresponding to Oldroyd, Maxwell, Rivlin-Ericksen dusty fluid model and ordinary viscous dusty fluid models are derived for velocity field. Also we deduced the case when the uniform magnetic field is withdrawn.


Keywords


Visco-elastic Fluid, Second order Oldroyd Fluid, Dusty Fluid, Uniform Magnetic field and Rectangular Channel.

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