REVIEW ARTICLES: Turbulent Free-Surface Interaction

Myths, Math, and Physics of Free-Surface Vorticity

[+] Author and Article Information
Edwin P. Rood

Office of Naval Research, Fluid Dynamics Program (332FD), Arlington VA 22217

Appl. Mech. Rev 47(6S), S152-S156 (Jun 01, 1994) doi:10.1115/1.3124395 History: Online April 29, 2009


The boundary equations for the production of vorticity are examined in the case of a free surface. Mathematical manipulation of the equations leads to interesting results which are given physical interpretation through examination of three flows: a surface wave, an accelerated free-surface channel flow, and the vortex ring interaction with a free surface. The predicted phenomena are unusual, and require abandonment of preconceptions regarding the notion that vorticity is angular momentum. The flux and appearance of vorticity in free-surface flows is shown to be a consequence of necessary viscous accelerations at the boundary even for otherwise irrotational subsurface flow. The deformation of the free surface is the critical factor separating the free-surface problem from the vortex image analogy.

Copyright © 1994 by American Society of Mechanical Engineers
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