Intermittency, the second-order structure function, and the turbulent energy-dissipation rate

Gustavo Stolovitzky, K. R. Sreenivasan

Research output: Contribution to journalArticle

Abstract

In the context of an interpolation formula for a second-order structure function, Grossmann [Phys. Rev. E 51, 6275 (1995)] considered various implications of the asymptotic behavior of the energy dissipation rate for inertial range intermittency. We reconsider the issue and show that the tendency of the nondimensional dissipation rate to asymptotically approach a constant is consistent with finite intermittency corrections. By extending Lohses ideas [Phys. Rev. Lett. 73, 3223 (1994)] put forth in a nonintermittent setting, we compute for intermittent turbulence the Reynolds number dependence of the nondimensional dissipation rate and show that the result compares favorably with experimental data.

Original languageEnglish (US)
Pages (from-to)3242-3244
Number of pages3
JournalPhysical Review E
Volume52
Issue number3
DOIs
StatePublished - 1995

Fingerprint

Intermittency
intermittency
Energy Dissipation
Structure-function
Dissipation
energy dissipation
dissipation
Reynolds number
Turbulence
Asymptotic Behavior
Interpolate
Experimental Data
interpolation
tendencies
turbulence
Range of data
Context

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Intermittency, the second-order structure function, and the turbulent energy-dissipation rate. / Stolovitzky, Gustavo; Sreenivasan, K. R.

In: Physical Review E, Vol. 52, No. 3, 1995, p. 3242-3244.

Research output: Contribution to journalArticle

@article{a391f71207234e3b8ba64499c27269a2,
title = "Intermittency, the second-order structure function, and the turbulent energy-dissipation rate",
abstract = "In the context of an interpolation formula for a second-order structure function, Grossmann [Phys. Rev. E 51, 6275 (1995)] considered various implications of the asymptotic behavior of the energy dissipation rate for inertial range intermittency. We reconsider the issue and show that the tendency of the nondimensional dissipation rate to asymptotically approach a constant is consistent with finite intermittency corrections. By extending Lohses ideas [Phys. Rev. Lett. 73, 3223 (1994)] put forth in a nonintermittent setting, we compute for intermittent turbulence the Reynolds number dependence of the nondimensional dissipation rate and show that the result compares favorably with experimental data.",
author = "Gustavo Stolovitzky and Sreenivasan, {K. R.}",
year = "1995",
doi = "10.1103/PhysRevE.52.3242",
language = "English (US)",
volume = "52",
pages = "3242--3244",
journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
issn = "1063-651X",
publisher = "American Physical Society",
number = "3",

}

TY - JOUR

T1 - Intermittency, the second-order structure function, and the turbulent energy-dissipation rate

AU - Stolovitzky, Gustavo

AU - Sreenivasan, K. R.

PY - 1995

Y1 - 1995

N2 - In the context of an interpolation formula for a second-order structure function, Grossmann [Phys. Rev. E 51, 6275 (1995)] considered various implications of the asymptotic behavior of the energy dissipation rate for inertial range intermittency. We reconsider the issue and show that the tendency of the nondimensional dissipation rate to asymptotically approach a constant is consistent with finite intermittency corrections. By extending Lohses ideas [Phys. Rev. Lett. 73, 3223 (1994)] put forth in a nonintermittent setting, we compute for intermittent turbulence the Reynolds number dependence of the nondimensional dissipation rate and show that the result compares favorably with experimental data.

AB - In the context of an interpolation formula for a second-order structure function, Grossmann [Phys. Rev. E 51, 6275 (1995)] considered various implications of the asymptotic behavior of the energy dissipation rate for inertial range intermittency. We reconsider the issue and show that the tendency of the nondimensional dissipation rate to asymptotically approach a constant is consistent with finite intermittency corrections. By extending Lohses ideas [Phys. Rev. Lett. 73, 3223 (1994)] put forth in a nonintermittent setting, we compute for intermittent turbulence the Reynolds number dependence of the nondimensional dissipation rate and show that the result compares favorably with experimental data.

UR - http://www.scopus.com/inward/record.url?scp=5544272330&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=5544272330&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.52.3242

DO - 10.1103/PhysRevE.52.3242

M3 - Article

VL - 52

SP - 3242

EP - 3244

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 3

ER -