DOI: 10.1063/1.1762300. Diffusion Approximation to Inertial Energy Transfer in Isotropic Turbulence

Diffusion Approximation to Inertial Energy Transfer in Isotropic Turbulence

10.1063/1.1762300

Crossref journal-article

AIP Publishing

The Physics of Fluids (317)

Abstract

A diffusion approximation is described to the nonlocal inertial energy transfer between wavenumber components in the spectral representation of an isotropic turbulent flow. The approximation yields Kolmogorov's inertial-range spectrum and is shown to be the local limit of a class of approximations suggested by Kraichnan and Spiegel. A spectrum in the viscous dissipation range is computed with the diffusion approximation and compared to spectra obtained from approximations of Heisenberg and Kovasznay as well as a modification of Obukhov's approximation and a recent prediction of Kraichnan. It agrees closely with the last two. Similarity spectra and associated longitudinal correlation functions are computed for decaying turbulence at infinite Reynolds number. A comparison is made with corresponding results based on the Heisenberg approximation.

Bibliography

Leith, C. E. (1967). Diffusion Approximation to Inertial Energy Transfer in Isotropic Turbulence. The Physics of Fluids, 10(7), 1409â1416.

Authors 1

C. E. Leith (first)

References 21 Referenced 173

{'key': '2023070801421701400_r1'}
{'key': '2023070801421701400_r2', 'first-page': '301', 'volume': '30', 'year': '1941', 'journal-title': 'Compt. Rend. Acad. Sci. URSS'} / Compt. Rend. Acad. Sci. URSS (1941)
10.1063/1.1761928 / Phys. Fluids (1966)
{'key': '2023070801421701400_r4'}
{'key': '2023070801421701400_r5'}
{'key': '2023070801421701400_r6'}
10.1090/qam/51081 / Quart. Appl. Math. (1952)
{'key': '2023070801421701400_r8', 'first-page': '87', 'volume': '1', 'year': '1952', 'journal-title': 'J. Ratl. Mech. Anal.'} / J. Ratl. Mech. Anal. (1952)
10.1017/S002211206200018X / J. Fluid Mech. (1962)
10.1017/S002211206300015X / J. Fluid Mech. (1963)
10.1175/1520-0469(1963)020<0319:TSITWO>2.0.CO;2 / J. Atmospheric Sci. (1963)
10.1063/1.1706660 / Phys. Fluids (1962)
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{'key': '2023070801421701400_r14', 'first-page': '228', 'volume': '228', 'year': '1949', 'journal-title': 'Compt. Rend.'} / Compt. Rend. (1949)
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{'key': '2023070801421701400_r16'}
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10.1007/BF00537591 / Ingen.-Arch. (1950)
10.1017/S0305004100026463 / Proc. Cambridge Phil. Soc. (1951)

Dates

Type	When
Created	20 years, 8 months ago (Dec. 24, 2004, 3:57 p.m.)
Deposited	2 years, 1 month ago (July 7, 2023, 9:42 p.m.)
Indexed	4 weeks, 1 day ago (Aug. 7, 2025, 4:23 p.m.)
Issued	58 years, 2 months ago (July 1, 1967)
Published	58 years, 2 months ago (July 1, 1967)
Published Online	20 years, 8 months ago (Dec. 9, 2004)
Published Print	58 years, 2 months ago (July 1, 1967)

Funders 0

None

BibTeX

@article{Leith_1967, title={Diffusion Approximation to Inertial Energy Transfer in Isotropic Turbulence}, volume={10}, ISSN={0031-9171}, url={http://dx.doi.org/10.1063/1.1762300}, DOI={10.1063/1.1762300}, number={7}, journal={The Physics of Fluids}, publisher={AIP Publishing}, author={Leith, C. E.}, year={1967}, month=jul, pages={1409–1416} }

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