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Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model
Journal article   Peer reviewed

Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model

T Hayat, S Nadeem and S Asghar
Applied mathematics and computation, Vol.151(1), pp.153-161
30/03/2004
DOI: https://doi.org/10.1016/S0096-3003(03)00329-1

Abstract

Exact solutions Fractional Maxwell model General periodic oscillation Stokes second problem Viscoelastic fluids
Exact analytic solutions for the flows of viscoelastic fluids are constructed. The flows are induced by general periodic oscillations of a plate. Based on the flow conditions described, three flow situations are solved by Fourier transform. Further, the fractional calculus approach is taken into account in the constitutive relationship of viscoelastic fluid model. Finally, some interesting flows caused by certain special oscillations are also established.

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