MHD flow of a third-grade fluid due to eccentric rotations of a porous disk and a fluid at infinity

T. Hayat; Tahira Haroon; S. Asghar; A. M. Siddiqui

doi:10.1016/S0020-7462(01)00075-0

MHD flow of a third-grade fluid due to eccentric rotations of a porous disk and a fluid at infinity

T. Hayat, Tahira Haroon, S. Asghar, A. M. Siddiqui

Penn State York

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

17 Scopus citations

Abstract

The problem of magnetohydrodynamics (MHD) flow of a conducting, incompressible third-grade fluid due to non-coaxial rotations of a porous disk and a fluid at infinity in the presence of a uniform transverse magnetic field is considered. An exact analysis is carried out to model the governing non-linear partial differential equation. A numerical solution of the third-order non-linear partial differential equation has been obtained. Several graphs and tables have been drawn to show the influence of porosity, magnetic parameter N, material parameters α and β on the velocity distribution.

Original language	English (US)
Pages (from-to)	501-511
Number of pages	11
Journal	International Journal of Non-Linear Mechanics
Volume	38
Issue number	4
DOIs	https://doi.org/10.1016/S0020-7462(01)00075-0
State	Published - Jun 1 2003

All Science Journal Classification (ASJC) codes

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/S0020-7462(01)00075-0

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abstract = "The problem of magnetohydrodynamics (MHD) flow of a conducting, incompressible third-grade fluid due to non-coaxial rotations of a porous disk and a fluid at infinity in the presence of a uniform transverse magnetic field is considered. An exact analysis is carried out to model the governing non-linear partial differential equation. A numerical solution of the third-order non-linear partial differential equation has been obtained. Several graphs and tables have been drawn to show the influence of porosity, magnetic parameter N, material parameters α and β on the velocity distribution.",

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N2 - The problem of magnetohydrodynamics (MHD) flow of a conducting, incompressible third-grade fluid due to non-coaxial rotations of a porous disk and a fluid at infinity in the presence of a uniform transverse magnetic field is considered. An exact analysis is carried out to model the governing non-linear partial differential equation. A numerical solution of the third-order non-linear partial differential equation has been obtained. Several graphs and tables have been drawn to show the influence of porosity, magnetic parameter N, material parameters α and β on the velocity distribution.

AB - The problem of magnetohydrodynamics (MHD) flow of a conducting, incompressible third-grade fluid due to non-coaxial rotations of a porous disk and a fluid at infinity in the presence of a uniform transverse magnetic field is considered. An exact analysis is carried out to model the governing non-linear partial differential equation. A numerical solution of the third-order non-linear partial differential equation has been obtained. Several graphs and tables have been drawn to show the influence of porosity, magnetic parameter N, material parameters α and β on the velocity distribution.

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MHD flow of a third-grade fluid due to eccentric rotations of a porous disk and a fluid at infinity

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