Loi log-trainée modifiée pour écoulement turbulent en conduite à paroi lisse

Translated title of the contribution: Modified log-wake law for turbulent flow in smooth pipes

Junke Guo, Pierre Y. Julien

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

A modified log-wake law for turbulent flow in smooth pipes is developed and tested with laboratory data. The law consists of three terms: a log term, a sine-square term and a cubic term. The log term reflects the restriction of the wall, the sine-square term expresses the contribution of the pressure gradient, and the cubic term makes the standard log-wake law satisfy the axial symmetrical condition. The last two terms define the modified wake law. The proposed velocity profile model not only improves the standard log-wake law near the pipe axis but also provides a better eddy viscosity model for turbulent mixing studies. An explicit friction factor is also presented for practical applications. The velocity profile model and the friction factor equation agree very well with Nikuradse' and other recent data. The eddy viscosity model is consistent with Laufer's, Nunner's and Reichardt's experimental data. Finally, an equivalent polynomial version of the modified log-wake law is presented.

Original languageFrench
Pages (from-to)493-501
Number of pages9
JournalJournal of Hydraulic Research
Volume41
Issue number5
DOIs
StatePublished - Jan 1 2003

Fingerprint

turbulent flow
Turbulent flow
pipe
Pipe
velocity profile
eddy
friction
viscosity
Viscosity
Friction
turbulent mixing
Pressure gradient
pressure gradient
Polynomials

Keywords

  • Eddy viscosity
  • Friction factor
  • Log law
  • Log-wake law
  • Logarithmic matching
  • Pipe flow
  • Turbulence
  • Velocity distribution
  • Velocity profile

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Water Science and Technology

Cite this

Loi log-trainée modifiée pour écoulement turbulent en conduite à paroi lisse. / Guo, Junke; Julien, Pierre Y.

In: Journal of Hydraulic Research, Vol. 41, No. 5, 01.01.2003, p. 493-501.

Research output: Contribution to journalArticle

@article{74f73780076c4a168e84ab5085aa91e5,
title = "Loi log-train{\'e}e modifi{\'e}e pour {\'e}coulement turbulent en conduite {\`a} paroi lisse",
abstract = "A modified log-wake law for turbulent flow in smooth pipes is developed and tested with laboratory data. The law consists of three terms: a log term, a sine-square term and a cubic term. The log term reflects the restriction of the wall, the sine-square term expresses the contribution of the pressure gradient, and the cubic term makes the standard log-wake law satisfy the axial symmetrical condition. The last two terms define the modified wake law. The proposed velocity profile model not only improves the standard log-wake law near the pipe axis but also provides a better eddy viscosity model for turbulent mixing studies. An explicit friction factor is also presented for practical applications. The velocity profile model and the friction factor equation agree very well with Nikuradse' and other recent data. The eddy viscosity model is consistent with Laufer's, Nunner's and Reichardt's experimental data. Finally, an equivalent polynomial version of the modified log-wake law is presented.",
keywords = "Eddy viscosity, Friction factor, Log law, Log-wake law, Logarithmic matching, Pipe flow, Turbulence, Velocity distribution, Velocity profile",
author = "Junke Guo and Julien, {Pierre Y.}",
year = "2003",
month = "1",
day = "1",
doi = "10.1080/00221680309499994",
language = "French",
volume = "41",
pages = "493--501",
journal = "Journal of Hydraulic Research/De Recherches Hydrauliques",
issn = "0022-1686",
publisher = "International Association of Hydraulic Engineering Research",
number = "5",

}

TY - JOUR

T1 - Loi log-trainée modifiée pour écoulement turbulent en conduite à paroi lisse

AU - Guo, Junke

AU - Julien, Pierre Y.

PY - 2003/1/1

Y1 - 2003/1/1

N2 - A modified log-wake law for turbulent flow in smooth pipes is developed and tested with laboratory data. The law consists of three terms: a log term, a sine-square term and a cubic term. The log term reflects the restriction of the wall, the sine-square term expresses the contribution of the pressure gradient, and the cubic term makes the standard log-wake law satisfy the axial symmetrical condition. The last two terms define the modified wake law. The proposed velocity profile model not only improves the standard log-wake law near the pipe axis but also provides a better eddy viscosity model for turbulent mixing studies. An explicit friction factor is also presented for practical applications. The velocity profile model and the friction factor equation agree very well with Nikuradse' and other recent data. The eddy viscosity model is consistent with Laufer's, Nunner's and Reichardt's experimental data. Finally, an equivalent polynomial version of the modified log-wake law is presented.

AB - A modified log-wake law for turbulent flow in smooth pipes is developed and tested with laboratory data. The law consists of three terms: a log term, a sine-square term and a cubic term. The log term reflects the restriction of the wall, the sine-square term expresses the contribution of the pressure gradient, and the cubic term makes the standard log-wake law satisfy the axial symmetrical condition. The last two terms define the modified wake law. The proposed velocity profile model not only improves the standard log-wake law near the pipe axis but also provides a better eddy viscosity model for turbulent mixing studies. An explicit friction factor is also presented for practical applications. The velocity profile model and the friction factor equation agree very well with Nikuradse' and other recent data. The eddy viscosity model is consistent with Laufer's, Nunner's and Reichardt's experimental data. Finally, an equivalent polynomial version of the modified log-wake law is presented.

KW - Eddy viscosity

KW - Friction factor

KW - Log law

KW - Log-wake law

KW - Logarithmic matching

KW - Pipe flow

KW - Turbulence

KW - Velocity distribution

KW - Velocity profile

UR - http://www.scopus.com/inward/record.url?scp=0142120467&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0142120467&partnerID=8YFLogxK

U2 - 10.1080/00221680309499994

DO - 10.1080/00221680309499994

M3 - Article

AN - SCOPUS:0142120467

VL - 41

SP - 493

EP - 501

JO - Journal of Hydraulic Research/De Recherches Hydrauliques

JF - Journal of Hydraulic Research/De Recherches Hydrauliques

SN - 0022-1686

IS - 5

ER -