The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
The return to isotropy of homogeneous turbulence
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.
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Citations
Cites
Tennekes, H., & Lumley, J. L. (1972) · The MIT Press eBooks · doi:10.7551/mitpress/3014.001.0001 · Cited by 8,340
Self-citationProgress in the development of a Reynolds-stress turbulence closure
Launder, B. E., Reece, G. J., & Rodi, W. (1975) · Journal of Fluid Mechanics · doi:10.1017/s0022112075001814 · Cited by 4,003
Kinsler, L. E., Frey, A. R., & Bennett, G. S. (1951) · American Journal of Physics · doi:10.1119/1.1932798 · Cited by 3,375
Turbulent Transport of Momentum and Heat
Tennekes, H., & Lumley, J. L. (1972) · Cited by 3,166
Self-citationThe Statistical Description of Turbulence
Tennekes, H., & Lumley, J. L. (1972) · Cited by 3,166
Self-citationThe Theory of Homogeneous Turbulence
Batchelor, G. K. (1953) · Cited by 2,903
Equations of turbulent motion in an incompressible fluid
Kolmogorov, A. N. (1941) · Доклады Академии наук · Cited by 1,347
A Reynolds stress model of turbulence and its application to thin shear flows
Hanjalić, K., & Launder, B. E. (1972) · Journal of Fluid Mechanics · doi:10.1017/s002211207200268x · Cited by 1,063
Kinsler, L. E., Frey, A. R., & Mayer, W. G. (1963) · Physics Today · doi:10.1063/1.3051072 · Cited by 350
Cited by
Wang, J.-X., Wu, J.-L., & Xiao, H. (2017) · Physical Review Fluids · doi:10.1103/physrevfluids.2.034603 · Cited by 737
RANS turbulence model development using CFD-driven machine learning
Zhao, Y., Akolekar, H. D., Weatheritt, J., Michelassi, V., & Sandberg, R. D. (2020) · Journal of Computational Physics · doi:10.1016/j.jcp.2020.109413 · Cited by 303
Presentation of anisotropy properties of turbulence, invariants versus eigenvalue approaches
Banerjee, S., Krahl, R., Durst, F., & Zenger, C. (2007) · Journal of Turbulence · doi:10.1080/14685240701506896 · Cited by 279
Metadata
- Authors
- Lumley, J. L., & Newman, G. R.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1977-08-19
- Volume
- 82
- Issue
- 1
- Pages
- 161-178
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2100278556
- Cited by
- 787
- References
- 9
- FWCI
- 7.20
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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