Interaction of a Vortex Induced by a Rotating Cylinder with a Plane
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 with a plane and in a tornado.
D. Han et al., "Interaction of a Vortex Induced by a Rotating Cylinder with a Plane," Communications in Computational Physics, vol. 22, no. 3, pp. 599-619, Cambridge University Press, Sep 2017.
The definitive version is available at https://doi.org/10.4208/cicp.OA-2016-0190
Mathematics and Statistics
Keywords and Phrases
Axisymmetric flow; Boundary layer; Navier-Stokes; Swirling vortex; Tornado
International Standard Serial Number (ISSN)
Article - Journal
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01 Sep 2017