Finite size corrections to scaling in high Reynolds number turbulence

Siegfried Grossmann, Detlef Lohse, Victor L'vov, Itamar Procaccia

Research output: Contribution to journalArticleAcademic

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Abstract

We study analytically and numerically the corrections to scaling in turbulence which arise due to finite size effects as anisotropic forcing or boundary conditions at large scales. We find that the deviations delta zeta m from the classical Kolmogorov scaling zeta m=m/3 of the velocity moments <||u(k)||m> [is proportional to] k- zeta m decrease like delta zeta m(Re)=cmRe-3/10. If, on the contrary, anomalous scaling in the inertial subrange can experimentally be verified in the large Re limit, this will support the suggestion that small scale structures should be responsible, originating form viscous effects either in the bulk (vortex tubes or sheets) or from the boundary layers (plumes or swirls), as both are underestimated in our reduced wave vector set approximation of the Navier-Stokes dynamics.
Original languageUndefined
Pages (from-to)432-435
JournalPhysical review letters
Volume73
Issue number3
DOIs
Publication statusPublished - 1994

Keywords

  • IR-50335

Cite this

Grossmann, Siegfried ; Lohse, Detlef ; L'vov, Victor ; Procaccia, Itamar. / Finite size corrections to scaling in high Reynolds number turbulence. In: Physical review letters. 1994 ; Vol. 73, No. 3. pp. 432-435.
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Finite size corrections to scaling in high Reynolds number turbulence. / Grossmann, Siegfried; Lohse, Detlef; L'vov, Victor; Procaccia, Itamar.

In: Physical review letters, Vol. 73, No. 3, 1994, p. 432-435.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - Finite size corrections to scaling in high Reynolds number turbulence

AU - Grossmann, Siegfried

AU - Lohse, Detlef

AU - L'vov, Victor

AU - Procaccia, Itamar

PY - 1994

Y1 - 1994

N2 - We study analytically and numerically the corrections to scaling in turbulence which arise due to finite size effects as anisotropic forcing or boundary conditions at large scales. We find that the deviations delta zeta m from the classical Kolmogorov scaling zeta m=m/3 of the velocity moments <||u(k)||m> [is proportional to] k- zeta m decrease like delta zeta m(Re)=cmRe-3/10. If, on the contrary, anomalous scaling in the inertial subrange can experimentally be verified in the large Re limit, this will support the suggestion that small scale structures should be responsible, originating form viscous effects either in the bulk (vortex tubes or sheets) or from the boundary layers (plumes or swirls), as both are underestimated in our reduced wave vector set approximation of the Navier-Stokes dynamics.

AB - We study analytically and numerically the corrections to scaling in turbulence which arise due to finite size effects as anisotropic forcing or boundary conditions at large scales. We find that the deviations delta zeta m from the classical Kolmogorov scaling zeta m=m/3 of the velocity moments <||u(k)||m> [is proportional to] k- zeta m decrease like delta zeta m(Re)=cmRe-3/10. If, on the contrary, anomalous scaling in the inertial subrange can experimentally be verified in the large Re limit, this will support the suggestion that small scale structures should be responsible, originating form viscous effects either in the bulk (vortex tubes or sheets) or from the boundary layers (plumes or swirls), as both are underestimated in our reduced wave vector set approximation of the Navier-Stokes dynamics.

KW - IR-50335

U2 - 10.1103/PhysRevLett.73.432

DO - 10.1103/PhysRevLett.73.432

M3 - Article

VL - 73

SP - 432

EP - 435

JO - Physical review letters

JF - Physical review letters

SN - 0031-9007

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