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A New Parameter in Vortex Identification and Visualization: Symmetry of Vortical Flow

[+] Author Affiliations
Katsuyuki Nakayama, Yasumasa Ohira, Shoko Yamada

Aichi Institute of Technology, Toyota, Aichi, Japan

Paper No. IMECE2014-39859, pp. V007T09A030; 6 pages
  • ASME 2014 International Mechanical Engineering Congress and Exposition
  • Volume 7: Fluids Engineering Systems and Technologies
  • Montreal, Quebec, Canada, November 14–20, 2014
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4954-5
  • Copyright © 2014 by ASME


The present investigation introduces a parameter to represent symmetry of a vortex. An important feature of a vortex to be identified in many fluid engineering fields is its stability derived from the flow kinematics, which is associated with the symmetry of its vortical flow. Although many vortex definitions and identification methods have been proposed in terms of various physical aspects of a vortex, such symmetry property or its identification is lacked. We focus on the flow geometry specified by the velocity gradient tensor, and show that the feature of its complex eigenvectors derives the symmetry of the vortical flow in the swirl plane. This property is invariant, and extracts the high symmetry vortex or vortical region irrespective of the intensity of the vortex. It does not require additional calculation except the complex eigenvectors, but it brings useful information of the flow state and skewness of vortices.

Copyright © 2014 by ASME



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