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 | |||||||||
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| 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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