DOI: 10.1063/1.1694422. Two-point correlation model and the redistribution of Reynolds stresses

Two-point correlation model and the redistribution of Reynolds stresses

10.1063/1.1694422

Crossref journal-article

AIP Publishing

The Physics of Fluids (317)

Abstract

A quasi-isotropic locally homogeneous model for the two-point double-velocity correlation tensor is developed by the application of a plausible set of symmetry restrictions to this tensor. The two-point correlation is related to the single-point correlation by three independent functions, and reduces to the nonisotropic single-point correlation and the isotropic two-point correlation in the limiting cases. It is shown that the model implies that by the use of three independent microscales (and macroscales) it is possible to describe a matrix of 27 elements of microscales (and macroscales) which describe the nonisotropic field. The model is also used to calculate the dissipation rate of the components of the Reynolds stresses. Finally, a formula which expresses the redistribution of the velocity fluctuations due to pressure fluctuations is developed.

Bibliography

Naot, D., Shavit, A., & Wolfshtein, M. (1973). Two-point correlation model and the redistribution of Reynolds stresses. The Physics of Fluids, 16(6), 738â743.

Authors 3

D. Naot (first)
A. Shavit (additional)
M. Wolfshtein (additional)

References 16 Referenced 79

10.1090/qam/11999 / Q. Appl. Math. (1945)
{'key': '2023073020202446300_r2', 'first-page': '547', 'volume': '129', 'year': '1951', 'journal-title': 'Ann. Phys. (Leipz.)'} / Ann. Phys. (Leipz.) (1951)
10.1063/1.1692845 / Phys. Fluids (1970)
10.1017/S0022112072000680 / J. Fluid Mech. (1972)
{'key': '2023073020202446300_r4a'}
{'key': '2023073020202446300_r5'}
{'key': '2023073020202446300_r5a'}
{'key': '2023073020202446300_r6', 'first-page': '83', 'volume': '9', 'year': '1971', 'journal-title': 'Isr. J. Technol.'} / Isr. J. Technol. (1971)
{'key': '2023073020202446300_r7'}
{'key': '2023073020202446300_r8'}
10.1017/S0022112067002216 / J. Fluid Mech. (1967)
10.1017/S0022112058000379 / J. Fluid Mech. (1958)
10.1017/S0022112069000358 / J. Fluid Mech. (1969)
{'key': '2023073020202446300_r12'}
{'key': '2023073020202446300_r13'}
{'key': '2023073020202446300_r14', 'first-page': '259', 'volume': '8', 'year': '1970', 'journal-title': 'Isr. J. Technol.'} / Isr. J. Technol. (1970)

Dates

Type	When
Created	21 years, 6 months ago (Feb. 17, 2004, 12:33 p.m.)
Deposited	2 years ago (July 30, 2023, 4:20 p.m.)
Indexed	2 months ago (June 21, 2025, 4:02 a.m.)
Issued	52 years, 2 months ago (June 1, 1973)
Published	52 years, 2 months ago (June 1, 1973)
Published Online	22 years ago (July 31, 2003)
Published Print	52 years, 2 months ago (June 1, 1973)

Funders 0

None

BibTeX

@article{Naot_1973, title={Two-point correlation model and the redistribution of Reynolds stresses}, volume={16}, ISSN={0031-9171}, url={http://dx.doi.org/10.1063/1.1694422}, DOI={10.1063/1.1694422}, number={6}, journal={The Physics of Fluids}, publisher={AIP Publishing}, author={Naot, D. and Shavit, A. and Wolfshtein, M.}, year={1973}, month=jun, pages={738–743} }

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