The rayleigh problem for a third grade electrically conducting fluid in a magnetic field

Tasawar Hayat; Herman Mambili-Mamboundou; Ebrahim Momoniat; Fazal M. Mahomed

doi:10.2991/jnmp.2008.15.s1.7

The rayleigh problem for a third grade electrically conducting fluid in a magnetic field

Tasawar Hayat
, Herman Mambili-Mamboundou
, Ebrahim Momoniat
, Fazal M. Mahomed

Quaid-I-Azam University
University of the Witwatersrand

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

7 Scopus citations

Abstract

The influence of a magnetic field on the flow of an incompressible third grade electrically conducting fluid bounded by a rigid plate is investigated. The flow is induced due by the motion of a plate in its own plane with an arbitrary velocity. The solution of the equations of conservation of mass and momentum balance are obtained analytically. We also present numerical solutions with particular choices of the magnetic field and boundary conditions. Emphasis has been given to the study of the effects of the magnetic field and non-Newtonian fluid parameters.

Original language	English
Pages (from-to)	77-90
Number of pages	14
Journal	Journal of Nonlinear Mathematical Physics
Volume	15
Issue number	SUPPL.1
DOIs	https://doi.org/10.2991/jnmp.2008.15.s1.7
State	Published - Aug 2008
Externally published	Yes

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abstract = "The influence of a magnetic field on the flow of an incompressible third grade electrically conducting fluid bounded by a rigid plate is investigated. The flow is induced due by the motion of a plate in its own plane with an arbitrary velocity. The solution of the equations of conservation of mass and momentum balance are obtained analytically. We also present numerical solutions with particular choices of the magnetic field and boundary conditions. Emphasis has been given to the study of the effects of the magnetic field and non-Newtonian fluid parameters.",

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AU - Momoniat, Ebrahim

AU - Mahomed, Fazal M.

PY - 2008/8

Y1 - 2008/8

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AB - The influence of a magnetic field on the flow of an incompressible third grade electrically conducting fluid bounded by a rigid plate is investigated. The flow is induced due by the motion of a plate in its own plane with an arbitrary velocity. The solution of the equations of conservation of mass and momentum balance are obtained analytically. We also present numerical solutions with particular choices of the magnetic field and boundary conditions. Emphasis has been given to the study of the effects of the magnetic field and non-Newtonian fluid parameters.

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The rayleigh problem for a third grade electrically conducting fluid in a magnetic field

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