Acta Mechanica Sinica

, Volume 19, Issue 3, pp 235–240 | Cite as

MHD unsteady flows due to non-coaxial rotations of a disk and a fluid at infinity

  • T. Hayat
  • S. Mumtaz
  • R. Ellahi


Exact analytical solution for flows of an electrically conducting fluid over an infinite oscillatory disk in the presence of a uniform transverse magnetic field is constructed. Both the disk and the fluid are in a state of non-coaxial rotation. Such a flow model has a great significance not only due to its own theoretical interest, but also due to applications to geophysics and engineering. The resulting initial value problem has been solved analytically by applying the Laplace transform technique and the explicit expressions for the velocity for steady and unsteady cases have been established. The analysis of the obtained results shows that the flow field is appreciably influenced by the applied magnetic field, the frequency and rotation parameters.

Key Words

general periodic oscillation non-coaxial rotation magnetohydrodynamic flow Laplace transform 


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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 2003

Authors and Affiliations

  • T. Hayat
    • 1
  • S. Mumtaz
    • 1
  • R. Ellahi
    • 1
  1. 1.Islamic International Engineering College c/o Head Office IIMCThe Mall Rawalpindi CanntPakistan

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