Effect of magnetic field on the flow of a fourth order fluid

T. Hayat; H. Mambili-Mamboundou; C. M. Khalique; F. M. Mahomed

doi:10.1016/j.nonrwa.2008.09.030

Effect of magnetic field on the flow of a fourth order fluid

T. Hayat
, H. Mambili-Mamboundou
, C. M. Khalique
, F. M. Mahomed

Quaid-I-Azam University
University of the Witwatersrand
North West University

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

5 Scopus citations

Abstract

A study is made of the flow engendered in a semi-infinite expanse of an incompressible non-Newtonian fluid by an infinite rigid plate moving with an arbitrary velocity in its own plane. The fluid is considered to be fourth order and electrically conducting. A magnetic field is applied in the transverse direction to the flow. The nonlinear problem is solved for constant magnetic field analytically using reduction methods as well as numerically and expressions for the velocity field are obtained. Limiting cases of interest can be deduced by choosing suitable parametric values.

Original language	English
Pages (from-to)	3413-3419
Number of pages	7
Journal	Nonlinear Analysis: Real World Applications
Volume	10
Issue number	6
DOIs	https://doi.org/10.1016/j.nonrwa.2008.09.030
State	Published - Dec 2009
Externally published	Yes

Keywords

Fourth order fluid
Lie symmetry
Magnetic field

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10.1016/j.nonrwa.2008.09.030

Cite this

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abstract = "A study is made of the flow engendered in a semi-infinite expanse of an incompressible non-Newtonian fluid by an infinite rigid plate moving with an arbitrary velocity in its own plane. The fluid is considered to be fourth order and electrically conducting. A magnetic field is applied in the transverse direction to the flow. The nonlinear problem is solved for constant magnetic field analytically using reduction methods as well as numerically and expressions for the velocity field are obtained. Limiting cases of interest can be deduced by choosing suitable parametric values.",

keywords = "Fourth order fluid, Lie symmetry, Magnetic field",

author = "T. Hayat and H. Mambili-Mamboundou and Khalique, \{C. M.\} and Mahomed, \{F. M.\}",

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language = "English",

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T1 - Effect of magnetic field on the flow of a fourth order fluid

AU - Hayat, T.

AU - Mambili-Mamboundou, H.

AU - Khalique, C. M.

AU - Mahomed, F. M.

PY - 2009/12

Y1 - 2009/12

N2 - A study is made of the flow engendered in a semi-infinite expanse of an incompressible non-Newtonian fluid by an infinite rigid plate moving with an arbitrary velocity in its own plane. The fluid is considered to be fourth order and electrically conducting. A magnetic field is applied in the transverse direction to the flow. The nonlinear problem is solved for constant magnetic field analytically using reduction methods as well as numerically and expressions for the velocity field are obtained. Limiting cases of interest can be deduced by choosing suitable parametric values.

AB - A study is made of the flow engendered in a semi-infinite expanse of an incompressible non-Newtonian fluid by an infinite rigid plate moving with an arbitrary velocity in its own plane. The fluid is considered to be fourth order and electrically conducting. A magnetic field is applied in the transverse direction to the flow. The nonlinear problem is solved for constant magnetic field analytically using reduction methods as well as numerically and expressions for the velocity field are obtained. Limiting cases of interest can be deduced by choosing suitable parametric values.

KW - Fourth order fluid

KW - Lie symmetry

KW - Magnetic field

UR - https://www.scopus.com/pages/publications/68949173449

U2 - 10.1016/j.nonrwa.2008.09.030

DO - 10.1016/j.nonrwa.2008.09.030

M3 - Article

AN - SCOPUS:68949173449

SN - 1468-1218

VL - 10

SP - 3413

EP - 3419

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 6

ER -

Effect of magnetic field on the flow of a fourth order fluid

Abstract

Keywords

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