Interaction of a Vortex Induced by a Rotating Cylinder with a Plane

@article{Han2016InteractionOA,
  title={Interaction of a Vortex Induced by a Rotating Cylinder with a Plane},
  author={D. Han and Yifeng Hou and R. Temam},
  journal={Communications in Computational Physics},
  year={2016},
  volume={22},
  pages={599-619}
}
  • D. Han, Yifeng Hou, R. Temam
  • Published 2016
  • Physics, Mathematics
  • Communications in Computational Physics
  • In this article,we study theoretically and numerically the interaction of a vortex induced by a rotating cylinder with a perpendicular plane. We show the existence of weak solutions to the swirling vortex models by using the Hopf extension method, and by an elegant contradiction argument, respectively. We demonstrate numerically that the model could produce phenomena of swirling vortex including boundary layer pumping and two-celled vortex that are observed in potential line vortex interacting… CONTINUE READING

    Figures from this paper

    References

    SHOWING 1-10 OF 36 REFERENCES
    The swirling vortex
    • J. Serrin
    • Physics
    • Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
    • 1972
    • 80
    • PDF
    Fractal powers in Serrin's swirling vortex solutions
    • 3
    • PDF
    A clarification of vortex breakdown and tornadogenesis
    • 32
    The Fluid Dynamics of Tornadoes
    • 76
    • PDF
    Boundary layers for the 3D primitive equations in a cube: The supercritical modes
    • 7
    • PDF
    On the global existence of solutions to the Prandtl's system
    • 150
    • PDF
    Well-posedness of the Prandtl equation in Sobolev spaces
    • 126
    • PDF