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

Author

Daozhi Han, Missouri University of Science and TechnologyFollow
Yifeng Hou
Roger Temam

Abstract

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.

Recommended Citation

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

Department(s)

Mathematics and Statistics

Research Center/Lab(s)

Center for High Performance Computing Research

Keywords and Phrases

Axisymmetric flow; Boundary layer; Navier-Stokes; Swirling vortex; Tornado

International Standard Serial Number (ISSN)

1815-2406

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2017 Global-Science Press, All rights reserved.

Publication Date

01 Sep 2017