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Journal of Porous Media

Impact factor: 1.035

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Volumes:
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Journal of Porous Media

DOI: 10.1615/JPorMedia.v9.i8.60
pages 779-788

Hall Effects on Unsteady Motions of a Generalized Second-Grade Fluid through a Porous Medium

Sohail Nadeem
Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan

ABSTRACT

The purpose of this work is to investigate the effects of Hall current on five types of unsteady flows through a porous medium. These are, namely, the impulsive flow, flow caused by a constantly accelerated plate, flows induced by impulsive and constant pressure gradients, flows induced by plate motions, and flow generated by an oscillating rigid plate. A generalized second-grade model through a porous medium with the fractional calculus is considered. Exact analytical solutions of unsteady flows have been constructed by using discrete Laplace transform of fractional derivatives.