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Journal of Applied Fluid Mechanics
Article . 2016 . Peer-reviewed
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Journal of Applied Fluid Mechanics
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Unsteady Magnetohydrodynamic Flow of Second Grade Fluid due to Uniform Accelerating Plate

Authors: Malakand; Gul Zaman; Amir Nawaz Khan;

Unsteady Magnetohydrodynamic Flow of Second Grade Fluid due to Uniform Accelerating Plate

Abstract

New exact solutions for unsteady magnetohydrodynamic (MHD) flows of a generalized second-grade fluid due to uniform accelerating plate are derived. The generalized second-grade fluid saturates the porous space. Fractional derivative is used in the governing equation. The analytical expressions for velocity and shear stress fields are obtained by using Laplace transform technique for the fractional calculus. The obtained solutions are expressed in series form in terms of Fox H-functions. Similar solutions for ordinary second-grade fluid passing through a porous space are also recovered. Moreover, several figures are sketched for the pertinent parameters to analyze the characteristics of velocity field and shear stress.

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Keywords

MHD flow; Generalized second-grade fluid; Fractional derivatives; Fox H-functions; Discrete Laplace transform., TJ1-1570, Mechanical engineering and machinery

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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