Closed-form solution for the edge vortex of a revolving plate

Di Chen, Dmitry Kolomenskiy, Hao Liu

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


Flapping and revolving wings can produce attached leading-edge vortices when the angle of attack is large. In this work, a low-order model is proposed for the edge vortices that develop on a revolving plate at angle of attack, which is the simplest limiting case, yet shows remarkable similarity with the generally known leading-edge vortices. The problem is solved analytically, providing short closed-form expressions for the circulation and the position of the vortex. The good agreement with the numerical solution of the Navier-Stokes equations suggests that, for the conditions examined, the vorticity production at the sharp edge and its subsequent three-dimensional transport are the main effects that shape the edge vortex.

Original languageEnglish
Pages (from-to)200-218
Number of pages19
JournalJournal of Fluid Mechanics
Publication statusPublished - 25 Jun 2017
Externally publishedYes


  • Separated flows
  • Swimming/flying
  • Vortex dynamics


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