Hall effects on the unsteady hydromagnetic flows of an Oldroyd-B fluid

S. Asghar; S. Parveen; S. Hanif; A. M. Siddiqui; T. Hayat

doi:10.1016/S0020-7225(02)00153-2

Hall effects on the unsteady hydromagnetic flows of an Oldroyd-B fluid

S. Asghar, S. Parveen, S. Hanif, A. M. Siddiqui, T. Hayat

Penn State York

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

55 Scopus citations

Abstract

The influence of Hall currents and rotation on the oscillatory flows of an infinite plate is investigated. Exact solutions for the two problems are obtained. The fluid considered is a homogeneous Oldroyd-B. During the mathematical analysis it is found that governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of viscous fluid. Further, it is observed that in absence of the strength of transverse magnetic field (B₀) the solution in resonance case does not satisfy the boundary condition at infinity. Physical significance of mathematical results is also discussed.

Original language	English (US)
Pages (from-to)	609-619
Number of pages	11
Journal	International Journal of Engineering Science
Volume	41
Issue number	6
DOIs	https://doi.org/10.1016/S0020-7225(02)00153-2
State	Published - Mar 2003

All Science Journal Classification (ASJC) codes

Mechanics of Materials
Engineering(all)
Mechanical Engineering
Materials Science(all)

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10.1016/S0020-7225(02)00153-2

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title = "Hall effects on the unsteady hydromagnetic flows of an Oldroyd-B fluid",

abstract = "The influence of Hall currents and rotation on the oscillatory flows of an infinite plate is investigated. Exact solutions for the two problems are obtained. The fluid considered is a homogeneous Oldroyd-B. During the mathematical analysis it is found that governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of viscous fluid. Further, it is observed that in absence of the strength of transverse magnetic field (B0) the solution in resonance case does not satisfy the boundary condition at infinity. Physical significance of mathematical results is also discussed.",

author = "S. Asghar and S. Parveen and S. Hanif and Siddiqui, {A. M.} and T. Hayat",

note = "Funding Information: Dr. Hayat is grateful to an Alexander von Humboldt Foundation for financial support.",

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T1 - Hall effects on the unsteady hydromagnetic flows of an Oldroyd-B fluid

AU - Asghar, S.

AU - Parveen, S.

AU - Hanif, S.

AU - Siddiqui, A. M.

AU - Hayat, T.

N1 - Funding Information: Dr. Hayat is grateful to an Alexander von Humboldt Foundation for financial support.

PY - 2003/3

Y1 - 2003/3

N2 - The influence of Hall currents and rotation on the oscillatory flows of an infinite plate is investigated. Exact solutions for the two problems are obtained. The fluid considered is a homogeneous Oldroyd-B. During the mathematical analysis it is found that governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of viscous fluid. Further, it is observed that in absence of the strength of transverse magnetic field (B0) the solution in resonance case does not satisfy the boundary condition at infinity. Physical significance of mathematical results is also discussed.

AB - The influence of Hall currents and rotation on the oscillatory flows of an infinite plate is investigated. Exact solutions for the two problems are obtained. The fluid considered is a homogeneous Oldroyd-B. During the mathematical analysis it is found that governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of viscous fluid. Further, it is observed that in absence of the strength of transverse magnetic field (B0) the solution in resonance case does not satisfy the boundary condition at infinity. Physical significance of mathematical results is also discussed.

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JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

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ER -

Hall effects on the unsteady hydromagnetic flows of an Oldroyd-B fluid

Abstract

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