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MHD of a fractional viscoelastic fluid in a circular tube
Journal article   Peer reviewed

MHD of a fractional viscoelastic fluid in a circular tube

Moustafa EL-Shahed
Mechanics research communications, Vol.33(2), pp.261-268
01/03/2006
DOI: https://doi.org/10.1016/j.mechrescom.2005.02.017

Abstract

Fox’s H-function Fractional calculus Generalized second grade fluid Integral transforms Mittag–Leffler function
We investigate the effect of a transverse magnetic field on the unsteady flow of a generalized second grade fluid through a porous medium in a circular tube. Using fractional partial differential equations, we are able to describe the velocity and stress fields of the flow. We also obtain exact analytic solutions of these differential equations in terms of the Fox’s H-function.

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