The flow of viscoelastic non-Newtonian fluid in the Ekman layer

Details The flow of viscoelastic non-Newtonian fluid in the Ekman layer The flow of viscoelastic non-Newtonian fluid in the Ekman layer

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.104..157c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 104, no. 1, Sept. 1984, p. 157-161. Research supported by the Council of S

Statistics

Computation

Ekman Layer, Flat Plates, Nonnewtonian Fluids, Unsteady Flow, Viscoelasticity, Computational Fluid Dynamics, Differential Equations, Laplace Transformation, Oscillating Flow, Skin Friction, Steady State, Velocity Distribution

Scientific paper

"In this paper the unsteady flow in the Ekman layer of a visco-elastic non-Newtonian fluid near a flat plate is discussed. Laplace transform technique has been employed to~ show the basic differential equations. Expressions for velocity profile, the skin friction have been calculated. It is shown that the time to attain the steady state increases with the elastic parameter. It is shown that normally the ultimate steady state is reached through a decay of inertial oscillations whose frequency decreases with increase in the elastic parameter." In the present study we examine the following unsteady problem in non-Newtonian fluid. Consider an infinite plate coinciding with the plate z = 0 and rotating in unison with elasticoviscous liquid occupying the region z > 0 with a uniform angular velocity Q about the z-axis for time t ~ 0. At time t > 0, the plate starts moving with a uniform velocity U0 along the x-axis relative to the rotating frame of reference. The horizontal homogeneity of the problem demands that conditions depend on z and t only. The equation of continuity together with the no slip condition at the plate then shows that the z-component of the velocity vanishes everywhere

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