Scaling of global properties of turbulence and skin friction in pipe and channel flows

Victor Yakhot; Sean C.C. Bailey; Alexander J. Smits

doi:10.1017/S0022112010001497

Scaling of global properties of turbulence and skin friction in pipe and channel flows

Victor Yakhot, Sean C.C. Bailey, Alexander J. Smits

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

Experimental data on the Reynolds number dependence of the area-averaged turbulent kinetic energy K and dissipation rate are presented. It is shown that while in the interval Re_D > 10⁵ the total kinetic energy scales with friction velocity (K/u*² = const), a new scaling law K/U²∝ K/(u*²Re_D ^θ) = const (θ≈1/4) has been discovered in the interval Re_D < 10⁵. It is argued that this transition is responsible for the well-known change in the scaling behaviour of the friction factor observed in pipe and channels flows at Re_D≈ 10⁵.

Original language	English
Pages (from-to)	65-73
Number of pages	9
Journal	Journal of Fluid Mechanics
Volume	652
DOIs	https://doi.org/10.1017/S0022112010001497
State	Published - Jun 2010

Bibliographical note

Funding Information:
The Office of Naval Research (ONR) is gratefully acknowledged for their financial support under grant N00014-09-1-0263 (Dr Ron Joslin).

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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title = "Scaling of global properties of turbulence and skin friction in pipe and channel flows",

abstract = "Experimental data on the Reynolds number dependence of the area-averaged turbulent kinetic energy K and dissipation rate are presented. It is shown that while in the interval ReD > 105 the total kinetic energy scales with friction velocity (K/u*2 = const), a new scaling law K/U2∝ K/(u*2ReD θ) = const (θ≈1/4) has been discovered in the interval ReD < 105. It is argued that this transition is responsible for the well-known change in the scaling behaviour of the friction factor observed in pipe and channels flows at ReD≈ 105.",

author = "Victor Yakhot and Bailey, {Sean C.C.} and Smits, {Alexander J.}",

note = "Funding Information: The Office of Naval Research (ONR) is gratefully acknowledged for their financial support under grant N00014-09-1-0263 (Dr Ron Joslin).",

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AU - Yakhot, Victor

AU - Bailey, Sean C.C.

AU - Smits, Alexander J.

N1 - Funding Information: The Office of Naval Research (ONR) is gratefully acknowledged for their financial support under grant N00014-09-1-0263 (Dr Ron Joslin).

PY - 2010/6

Y1 - 2010/6

N2 - Experimental data on the Reynolds number dependence of the area-averaged turbulent kinetic energy K and dissipation rate are presented. It is shown that while in the interval ReD > 105 the total kinetic energy scales with friction velocity (K/u*2 = const), a new scaling law K/U2∝ K/(u*2ReD θ) = const (θ≈1/4) has been discovered in the interval ReD < 105. It is argued that this transition is responsible for the well-known change in the scaling behaviour of the friction factor observed in pipe and channels flows at ReD≈ 105.

AB - Experimental data on the Reynolds number dependence of the area-averaged turbulent kinetic energy K and dissipation rate are presented. It is shown that while in the interval ReD > 105 the total kinetic energy scales with friction velocity (K/u*2 = const), a new scaling law K/U2∝ K/(u*2ReD θ) = const (θ≈1/4) has been discovered in the interval ReD < 105. It is argued that this transition is responsible for the well-known change in the scaling behaviour of the friction factor observed in pipe and channels flows at ReD≈ 105.

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JF - Journal of Fluid Mechanics

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Scaling of global properties of turbulence and skin friction in pipe and channel flows

Abstract

Bibliographical note

ASJC Scopus subject areas

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