Magnetohydrodynamic flow due to non-coaxial rotations of a porous oscillating disk and a fluid at infinity

T. Hayat, M. Zamurad, S. Asghar, Abdul M. Siddiqui

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

An exact solution of the Navier-Stokes equations is constructed for the case of flow due to non-coaxial rotations of a porous disk and a fluid at infinity. The disk executes oscillations in its own plane and is non-conducting. The viscous fluid is incompressible and electrically conducting. Analytical solution is established by the method of Laplace transform. The velocity fields are obtained for the cases when the angular velocity is greater than, smaller than or equal to the frequency of oscillations. The structure of the steady and the unsteady velocity fields are investigated. The difficulty of the hydrodynamic steady solution associated with the case of resonant frequency is resolved in the present analysis.

Original languageEnglish (US)
Pages (from-to)1177-1196
Number of pages20
JournalInternational Journal of Engineering Science
Volume41
Issue number11
DOIs
StatePublished - Jul 1 2003

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Magnetohydrodynamics
Fluids
Laplace transforms
Angular velocity
Navier Stokes equations
Natural frequencies
Hydrodynamics

All Science Journal Classification (ASJC) codes

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

Cite this

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abstract = "An exact solution of the Navier-Stokes equations is constructed for the case of flow due to non-coaxial rotations of a porous disk and a fluid at infinity. The disk executes oscillations in its own plane and is non-conducting. The viscous fluid is incompressible and electrically conducting. Analytical solution is established by the method of Laplace transform. The velocity fields are obtained for the cases when the angular velocity is greater than, smaller than or equal to the frequency of oscillations. The structure of the steady and the unsteady velocity fields are investigated. The difficulty of the hydrodynamic steady solution associated with the case of resonant frequency is resolved in the present analysis.",
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Magnetohydrodynamic flow due to non-coaxial rotations of a porous oscillating disk and a fluid at infinity. / Hayat, T.; Zamurad, M.; Asghar, S.; Siddiqui, Abdul M.

In: International Journal of Engineering Science, Vol. 41, No. 11, 01.07.2003, p. 1177-1196.

Research output: Contribution to journalArticle

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AB - An exact solution of the Navier-Stokes equations is constructed for the case of flow due to non-coaxial rotations of a porous disk and a fluid at infinity. The disk executes oscillations in its own plane and is non-conducting. The viscous fluid is incompressible and electrically conducting. Analytical solution is established by the method of Laplace transform. The velocity fields are obtained for the cases when the angular velocity is greater than, smaller than or equal to the frequency of oscillations. The structure of the steady and the unsteady velocity fields are investigated. The difficulty of the hydrodynamic steady solution associated with the case of resonant frequency is resolved in the present analysis.

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