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Post-transitional periodic flow in a straight square duct

Published online by Cambridge University Press:  23 November 2018

S. Gavrilakis Open the ORCID record for S. Gavrilakis [Opens in a new window]
S. Gavrilakis*
Affiliation:
School of Environment and Geography, Harokopio University of Athens, Athens 17671, Greece
*
†Email address for correspondence: [email protected]
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Abstract

Direct numerical simulation of incompressible turbulence in a straight square duct finds the post-transition flow evolving substantially, and for Reynolds numbers based on the friction velocity and duct hydraulic radius greater than 600 a two-structure secondary flow regime has been established, suggesting the coexistence of two distinct sources of mean streamwise vorticity. The nominal source terms in the equation for the mean streamwise vorticity involve turbulent variables only, that allow us to identify the dominant dynamical process that marks and/or sustains the transverse mean flow. Close to the corner a mean profile instability is dominant, while farther away turbulent streamwise vorticity intensification is broadly distributed near the duct walls. The instability-driven secondary velocity maximum on the duct diagonals scales with the friction velocity. There is limited scaling of turbulent intensities on the wall bisectors.

JFM classification

Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulent Flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 859 , 25 January 2019 , pp. 731 - 753
Copyright
© 2018 Cambridge University Press 

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