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Helmholtz decomposition revisited: Vorticity generation and trailing edge condition. I - Incompressible flowsUsing the decomposition for the infinite-space, the issue of the nonuniqueness of the Helmholtz decomposition for the problem of the three-dimensional unsteady incompressible flow around a body is considered. A representation for the velocity that is valid for both the fluid region and the region inside the boundary surface is employed, and the motion of the boundary is described as the limiting case of a sequence of impulsive accelerations. At each instant of velocity discontinuity, vorticity is shown to be generated by the boundary condition on the normal component of the velocity, for both inviscid and viscous flows. In viscous flows, the vorticity is shown to diffuse into the surroundings, and the no-slip conditions are automatically satisfied. A trailing edge condition must be satisfied for the solution to the Euler equations to be the limit of the solution of the Navier-Stokes equations.
Document ID
19860064701
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Morino, L.
(Boston University MA, United States)
Date Acquired
August 12, 2013
Publication Date
January 1, 1986
Publication Information
Publication: Computational Mechanics
Volume: 1
Issue: 1 19
ISSN: 0178-7675
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
86A49439
Funding Number(s)
CONTRACT_GRANT: NAG1-564
Distribution Limits
Public
Copyright
Other

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