Hydro-Magnetic Oscillatory Dusty Fluid Flow with Volume Fraction and Periodic Pressure Gradient in a Rotating Channel
Journal Title: International Journal for Research in Applied Science and Engineering Technology (IJRASET) - Year 2015, Vol 3, Issue 3
Abstract
Analytic solution of unsteady oscillatory hydro-magnetic flow of a dusty, electrically conducting fluid in a horizontal channel has been obtained under the influence of periodic pressure gradient. The system is rotating with a constant angular velocity Ω about an axis normal to the plates and |Ω| is so small that centripetal acceleration|Ωⅹ(Ωⅹr)| can be neglected. Characteristics of volume fraction (volume occupied by the dust particles per unit volume of the mixture) is exhibited through the parameter .ࣘThe dusty fluid flow model is governed by Saffman model. Channel is bounded by two porous electrically nonconducting plates and fluid is injected with constant velocity through the lower stationary plate and the upper plate is subjected to the same constant suction velocity. Also, the upper plate is oscillating in its own plane with a velocity U(t). A magnetic field of strength Bo is applied in the transverse direction to the plate. Governing equations of motion of fluid particles and dust particles are solved analytically. The effect of the various parameters on the governing motion of fluid, dust particles and skin-friction at both the plates have been discussed graphically.
Authors and Affiliations
Debasish Dey,
Keywords
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