MHD flows of an Oldroyd-B fluid

T. Hayat; K. Hutter; S. Asghar; A. M. Siddiqui

doi:10.1016/S0895-7177(02)00252-2

MHD flows of an Oldroyd-B fluid

T. Hayat, K. Hutter, S. Asghar, A. M. Siddiqui

Penn State York

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

59 Scopus citations

Abstract

Exact solutions for flows of an electrically conducting fluid over an infinite oscillatory plate in the presence of a transverse magnetic field are obtained when the entire system rotates about an axis normal to the plate. It is observed from the analysis that the governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of the viscous fluid. It is shown that the difficulty of the corresponding hydrodynamic problem associated with the resonant frequency n = 2ω is automatically resolved in the present hydromagnetic analysis.

Original language	English (US)
Pages (from-to)	987-995
Number of pages	9
Journal	Mathematical and Computer Modelling
Volume	36
Issue number	9-10
DOIs	https://doi.org/10.1016/S0895-7177(02)00252-2
State	Published - Nov 29 2002

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Computer Science Applications

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10.1016/S0895-7177(02)00252-2

Cite this

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title = "MHD flows of an Oldroyd-B fluid",

abstract = "Exact solutions for flows of an electrically conducting fluid over an infinite oscillatory plate in the presence of a transverse magnetic field are obtained when the entire system rotates about an axis normal to the plate. It is observed from the analysis that the governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of the viscous fluid. It is shown that the difficulty of the corresponding hydrodynamic problem associated with the resonant frequency n = 2ω is automatically resolved in the present hydromagnetic analysis.",

author = "T. Hayat and K. Hutter and S. Asghar and Siddiqui, {A. M.}",

note = "Funding Information: *Permanent address: Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan. Email address: t_pensy Qhotmail. corn. The first author would like to thank Alexander von Humboldt Foundation for financial support. Drs. Hayat and Asghar gratefully acknowledge the support of Quaid-i-Azam University through URF (200&2001).",

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T1 - MHD flows of an Oldroyd-B fluid

AU - Hayat, T.

AU - Hutter, K.

AU - Asghar, S.

AU - Siddiqui, A. M.

N1 - Funding Information: *Permanent address: Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan. Email address: t_pensy Qhotmail. corn. The first author would like to thank Alexander von Humboldt Foundation for financial support. Drs. Hayat and Asghar gratefully acknowledge the support of Quaid-i-Azam University through URF (200&2001).

PY - 2002/11/29

Y1 - 2002/11/29

N2 - Exact solutions for flows of an electrically conducting fluid over an infinite oscillatory plate in the presence of a transverse magnetic field are obtained when the entire system rotates about an axis normal to the plate. It is observed from the analysis that the governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of the viscous fluid. It is shown that the difficulty of the corresponding hydrodynamic problem associated with the resonant frequency n = 2ω is automatically resolved in the present hydromagnetic analysis.

AB - Exact solutions for flows of an electrically conducting fluid over an infinite oscillatory plate in the presence of a transverse magnetic field are obtained when the entire system rotates about an axis normal to the plate. It is observed from the analysis that the governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of the viscous fluid. It is shown that the difficulty of the corresponding hydrodynamic problem associated with the resonant frequency n = 2ω is automatically resolved in the present hydromagnetic analysis.

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SN - 0895-7177

IS - 9-10

ER -

MHD flows of an Oldroyd-B fluid

Abstract

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