Energetic balance for the flow of a second-grade fluid due to a plate subject to a shear stress

Authors:
D. Vieru;I. Siddique;M. Kamran;C. Fetecau
Affiliations:
Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan;Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan;Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan;Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 1
Cited 1

Some analytical solutions for second grade fluid flows for cylindrical-geometries

Mathematical and Computer Modelling: An International Journal

On the energetic balance for the flow of an Oldroyd-B fluid due to a flat plate subject to a time-dependent shear stress

Computers & Mathematics with Applications

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Abstract

Exact and approximative expressions for dissipation, the power due to the shear stress at the wall and the boundary layer thickness corresponding to the unsteady motion of a second-grade fluid, induced by an infinite plate subject to a shear stress, are established. For @a"1@?0, similar results for Newtonian fluids performing the same motion are obtained. The results that have been obtained here are different to those corresponding to the Rayleigh-Stokes problem. A series solution for the velocity field is also determined. Its form, as was to be expected, is identical to that resulting from the general solution using asymptotic approximations.