Rayleigh problem for a MHD Sisko fluid

M. Molati; T. Hayat; F. Mahomed

doi:10.1016/j.nonrwa.2008.09.023

Rayleigh problem for a MHD Sisko fluid

M. Molati
, T. Hayat
, F. Mahomed

University of the Witwatersrand
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

The problem of unsteady unidirectional flow of an incompressible Sisko fluid bounded by a suddenly moved plate is studied. The fluid is magnetohydrodynamic (MHD) in the presence of a time-dependent magnetic field applied transversely to the flow. The non-linear flow problem arising from the laws of momentum, mass and suitable boundary and initial conditions is solved analytically using Lie symmetry method. The manner in which the various emerging parameters affect the structure of the velocity is delineated.

Original language	English
Pages (from-to)	3428-3434
Number of pages	7
Journal	Nonlinear Analysis: Real World Applications
Volume	10
Issue number	6
DOIs	https://doi.org/10.1016/j.nonrwa.2008.09.023
State	Published - Dec 2009
Externally published	Yes

Keywords

Analytic solution
Rayleigh problem
Sisko fluid
Time-dependent magnetic field
Unsteady flow

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10.1016/j.nonrwa.2008.09.023

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abstract = "The problem of unsteady unidirectional flow of an incompressible Sisko fluid bounded by a suddenly moved plate is studied. The fluid is magnetohydrodynamic (MHD) in the presence of a time-dependent magnetic field applied transversely to the flow. The non-linear flow problem arising from the laws of momentum, mass and suitable boundary and initial conditions is solved analytically using Lie symmetry method. The manner in which the various emerging parameters affect the structure of the velocity is delineated.",

keywords = "Analytic solution, Rayleigh problem, Sisko fluid, Time-dependent magnetic field, Unsteady flow",

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AU - Hayat, T.

AU - Mahomed, F.

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AB - The problem of unsteady unidirectional flow of an incompressible Sisko fluid bounded by a suddenly moved plate is studied. The fluid is magnetohydrodynamic (MHD) in the presence of a time-dependent magnetic field applied transversely to the flow. The non-linear flow problem arising from the laws of momentum, mass and suitable boundary and initial conditions is solved analytically using Lie symmetry method. The manner in which the various emerging parameters affect the structure of the velocity is delineated.

KW - Analytic solution

KW - Rayleigh problem

KW - Sisko fluid

KW - Time-dependent magnetic field

KW - Unsteady flow

UR - https://www.scopus.com/pages/publications/68749090856

U2 - 10.1016/j.nonrwa.2008.09.023

DO - 10.1016/j.nonrwa.2008.09.023

M3 - Article

AN - SCOPUS:68749090856

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VL - 10

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EP - 3434

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 6

ER -

Rayleigh problem for a MHD Sisko fluid

Abstract

Keywords

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