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Pressure spectra for vortex models of fine-scale homogeneous turbulence

Pullin, D. I. (1995) Pressure spectra for vortex models of fine-scale homogeneous turbulence. Physics of Fluids, 7 (4). pp. 849-856. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:PULpof95

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Abstract

Pressure spectra at large wave numbers are calculated for Lundgren–Townsend vortex models of the fine scales of homogeneous turbulence. Specific results are given for the Burgers vortex and also for the Lundgren-strained spiral vortex. For the latter case, it is found that the contribution to the shell-summed spectrum produced by the interaction between the axisymmetric and nonaxisymmetric components of the velocity field is proportional to k^–7/3 (k=||k|| is the modulus of the wave number) in agreement with Kolmogorov-type dimensional arguments. Numerical estimates of the dimensionless prefactors for this component are obtained in Kolmogorov scaling variables and comparisons are made with results from the Batchelor–Kolmogorov theory, and with experimental measurement.


Item Type:Article
Additional Information:©1995 American Institute of Physics. (Received 5 July 1994; accepted 1 November 1994) The author wishes to thank P. G. Saffman for many useful discussions and for his comments on the original manuscript. Partial support under NSF Grant No. CTS-9311811 is gratefully acknowledged.
Subject Keywords:TURBULENT FLOW; VORTEX FLOW; PRESSURE; CORRELATION FUNCTIONS; HOMOGENEITY; ENERGY SPECTRA; SCALING LAWS; VISCOUS FLOW
Record Number:CaltechAUTHORS:PULpof95
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:PULpof95
Alternative URL:http://dx.doi.org/
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4674
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:02 Sep 2006
Last Modified:26 Dec 2012 09:00

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