Geometry Effects on Free Surface Vorticity Flux

[+] Author and Article Information
Bill Peck, Lorenz Sigurdson

Department of Mechanical Engineering, University of Alberta, Edmonton Alberta, Canada T6G 2G8

J. Fluids Eng 121(3), 678-683 (Sep 01, 1999) (6 pages) doi:10.1115/1.2823523 History: Received March 30, 1998; Revised June 07, 1999; Online December 04, 2007


Effects of geometry on the flux of vorticity from a free surface are discussed. Special attention is paid to situations where curvature-dependent contributions to the vorticity flux can be neglected. The geometry of vortex lines embedded in the surface is discussed in this context. These results show that vortex lines can be straight and geometry-induced vorticity flux is produced; conversely vortex lines can be curved and no geometry-induced vorticity flux is produced. A convenient method for assessing vorticity flux from a steady surface based on Gaussian curvature is derived.

Copyright © 1999 by The American Society of Mechanical Engineers
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