Author:
Lumley John L.,Newman Gary R.
Abstract
The return to isotropy of homogeneous turbulence without mean velocity gradients is attacked by considering changes to be slow relative to turbulence time scales. This single assumption permits the problem to be cast as one of finding the form of three invariant functions. Examination of limiting behaviour for large Reynolds number and small anisotropy, as well as small Reynolds number and arbitrary anisotropy, places restrictions on the form of the functions. Realizability conditions (requiring that energies be non-negative) reduce the problem to two functions subject to further restrictions. A convenient interpolation form is found for the functions, satisfying all the restrictions, and it is shown that predictions based on this are in excellent agreement with all available data.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference23 articles.
1. Orszag, S. A. & Patterson, G. S. 1972 Numerical simulation of turbulence. Statistical Models and Turbulence ,pp.127–147. Lecture Notes in Physics, vol. 12.Springer.
2. Zeman, O. 1975 The dynamics of entrainment in the planetary boundary layer: a study in turbulence modeling and parameterization. Ph.D. thesis,The Pennsylvania State University.
3. Lumley, J. L. , Zeman, O. & Siess, J. 1977 The influence of buoyancy on turbulent transport. J. Fluid Mech . (in press).
4. Comte-Bellot, G. & Corrsin, S. 1966 The use of a contraction to improve the isotropy of grid-generated turbulence.J. Fluid Mech. 25,657–682.
5. Lumley, J. L. 1975 Prediction methods for turbulent flows, introduction. Lecture notes for series Prediction Methods for Turbulent Flows .Von Kármân Inst., Rhode-St-Genese, Belgium.
Cited by
657 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献