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Marginally turbulent flow in a square duct

Published online by Cambridge University Press:  24 September 2007

MARKUS UHLMANN ,
ALFREDO PINELLI ,
GENTA KAWAHARA  and
ATSUSHI SEKIMOTO
MARKUS UHLMANN
Affiliation:
Modeling and Numerical Simulation Unit, CIEMAT, 28040 Madrid, Spain
ALFREDO PINELLI
Affiliation:
Modeling and Numerical Simulation Unit, CIEMAT, 28040 Madrid, Spain
GENTA KAWAHARA
Affiliation:
Department of Mechanical Science, Osaka University, 560-8531 Toyonaka, Japan
ATSUSHI SEKIMOTO
Affiliation:
Department of Mechanical Science, Osaka University, 560-8531 Toyonaka, Japan
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Abstract

A direct numerical simulation of turbulent flow in a straight square duct was performed in order to determine the minimal requirements for self-sustaining turbulence. It was found that turbulence can be maintained for values of the bulk Reynolds number above approximately 1100, corresponding to a friction-velocity-based Reynolds number of 80. The minimum value for the streamwise period of the computational domain is around 190 wall units, roughly independently of the Reynolds number. We present a characterization of the flow state at marginal Reynolds numbers which substantially differs from the fully turbulent one: the marginal state exhibits a four-vortex secondary flow structure alternating in time whereas the fully turbulent one presents the usual eight-vortex pattern. It is shown that in the regime of marginal Reynolds numbers buffer-layer coherent structures play a crucial role in the appearance of secondary flow of Prandtl's second kind.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 588 , 10 October 2007 , pp. 153 - 162
Copyright
Copyright © Cambridge University Press 2007

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