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Large eddy simulations of turbulent Couette–Poiseuille and Couette flows inside a square duct

Published online by Cambridge University Press:  23 May 2012

Hsin-Wei Hsu ,
Jian-Bin Hsu ,
Wei Lo  and
Chao-An Lin
Hsin-Wei Hsu
Affiliation:
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu 300, Taiwan
Jian-Bin Hsu
Affiliation:
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu 300, Taiwan
Wei Lo
Affiliation:
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu 300, Taiwan
Chao-An Lin*
Affiliation:
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu 300, Taiwan
*
†Email address for correspondence: calin@pme.nthu.edu.tw
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Abstract

Turbulent Couette–Poiseuille and Couette flows at different mean strain rates (velocity ratio of Couette wall to bulk flow, –), in a square duct at a bulk Reynolds number 10 000 are investigated by large eddy simulation. The numerical framework consists of a finite-volume method with a staggered-grid arrangement of dependent variables. Spatial derivatives are approximated using second-order centred differencing, and a fractional-step method is used for temporal integration. Simulations are conducted with grids. Secondary flow near the Couette wall shows a gradual change of vortex size and position as the moving wall velocity increased, where the two clockwise rotating vortices gradually merge in tandem with speed of the moving wall and form a large clockwise vortex. A linear relation is observed to exist between the angle of the two vortices and the parameter , and the angle saturates beyond . Also, at , together with a small counter-clockwise corner vortex, this vortex pattern is similar to that observed in the corner region of the duct flow with a free surface. The change of the vortex patterns also influences the dominant transport terms in the streamwise vorticity transport equation. Near the moving wall due to the reduction of the streamwise velocity fluctuation at the moving wall, turbulence structure gradually moves towards a rod-like axisymmetric turbulence, and as increases beyond , turbulence reverts to the disc-like structure.

JFM classification

Boundary Layers: Pipe flow boundary layer Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulent boundary layers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 702 , 10 July 2012 , pp. 89 - 101
Copyright
Copyright © Cambridge University Press 2012

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