NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
On the smallest scale for the incompressible Navier-Stokes equationsIt is proven that for solutions to the two-and three-dimensional incompressible Navier-Stokes equations, the minimum scale is inversely proportional to the square root of the Reynolds number based on the kinematic viscosity and the maximum of the velocity gradients. The bounds on the velocity gradients can be obtained for two-dimensional flows, but have to be assumed to be three-dimensional. Numerical results in two dimensions are given which illustrate and substantiate the features of the proof. Implications of the minimum scale result to the decay rate of the energy spectrum are discussed.
Document ID
19890062527
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Henshaw, W. D.
(IBM Watson Research Center Yorktown Heights, NY, United States)
Reyna, L. G.
(IBM Thomas J. Watson Research Center Yorktown Heights, NY, United States)
Kreiss, H. O.
(California, University Los Angeles, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Publication Information
Publication: Theoretical and Computational Fluid Dynamics
Volume: 1
Issue: 2 19
ISSN: 0935-4964
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
89A49898
Funding Number(s)
CONTRACT_GRANT: NSF DMS-83-12264
CONTRACT_GRANT: NAS1-18107
CONTRACT_GRANT: N00014-83-K-0422
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available