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On the Spectrum and Decay of Random Two-Dimensional Vorticity Distributions at Large Reynolds Number

Saffman, P. G. (1971) On the Spectrum and Decay of Random Two-Dimensional Vorticity Distributions at Large Reynolds Number. Studies in Applied Mathematics, 50 (4). pp. 377-383. ISSN 0022-2526. doi:10.1002/sapm1971504377. https://resolver.caltech.edu/CaltechAUTHORS:20170801-151245141

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Abstract

The hypothesis is made that the vorticity distribution in a field of random two-dimensional vorticity (two-dimensional turbulence) develops discontinuities. The energy spectrum is then calculated and shown to behave like k^(−4) for large values of the wave-number k. The rates of decay of mean square vorticity and velocity are estimated. An expression for the growth of length scale is obtained and it is noted that the size of turbulent trailing vortices is apparently well fitted by the formula.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1002/sapm1971504377DOIArticle
http://onlinelibrary.wiley.com/doi/10.1002/sapm1971504377/abstractPublisherArticle
Additional Information:© 1971 by the Massachusetts Institute of Technology. Received: 20 April 1971.
Issue or Number:4
DOI:10.1002/sapm1971504377
Record Number:CaltechAUTHORS:20170801-151245141
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170801-151245141
Official Citation:Saffman P. G., (1971), On the Spectrum and Decay of Random Two-Dimensional Vorticity Distributions at Large Reynolds Number, Studies in Applied Mathematics, 50, doi: 10.1002/sapm1971504377
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79710
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Aug 2017 22:22
Last Modified:15 Nov 2021 17:49

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