Corpus ID: 119144662

Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder

@article{Ilin2010SteadyVF,
  title={Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder},
  author={K. Ilin and M. Sadiq},
  journal={arXiv: Fluid Dynamics},
  year={2010}
}

K. Ilin, M. Sadiq

Published 2010

Physics, Mathematics

arXiv: Fluid Dynamics

We study the steady streaming between two infinitely long circular cylinders produced by small amplitude transverse vibrations of the inner cylinder about the axis of the outer cylinder. The Vishik-Lyusternik method is employed to construct an asymptotic expansion of the solution of the Navier-Stokes equations in the limit of high-frequency vibrations for Reynolds numbers of order of unity. The effect of the Stokes drift of fluid particles is also studied. It is shown that it is nonzero not… CONTINUE READING

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