An inequality concerning the production of vorticity in isotropic turbulence
Author:
- 1 November 1956
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 1 (5) , 497-504
Abstract
An inequality is demonstrated involving the rate of production S of mean-square vorticity in isotropic turbulence and a factor γ which may be said to allow for intermittency or for the non-vanishing of fourth-order cumulants. An extreme state, corresponding to equality of this relationship, occurs if S = 0·64 and γ = 2·14. The experimental values are S = 0·4 and γ = 4. Another kinematical relation shows that the mechanism of vorticity production resembles collision between fluid particles rather than the swirling of contracting jets.Keywords
This publication has 5 references indexed in Scilit:
- On the decay of a normally distributed and homogenous turbulent velocity fieldPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1954
- On the fine-scale structure of turbulenceProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1951
- Triple velocity correlations in isotropic turbulenceMathematical Proceedings of the Cambridge Philosophical Society, 1951
- Experimental evidence for the theory of local isotropyMathematical Proceedings of the Cambridge Philosophical Society, 1948
- Production and dissipation of vorticity in a turbulent fluidProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1938