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Effects of viscoelasticity in the high Reynolds number cylinder wake

Published online by Cambridge University Press:  16 January 2012

David Richter ,
Gianluca Iaccarino  and
Eric S. G. Shaqfeh
David Richter
Affiliation:
Department of Mechanical Engineering, Stanford University, CA 94305, USA
Gianluca Iaccarino
Affiliation:
Department of Mechanical Engineering, Stanford University, CA 94305, USA
Eric S. G. Shaqfeh*
Affiliation:
Department of Mechanical Engineering, Stanford University, CA 94305, USA
*
†Email address for correspondence: esgs@stanford.edu
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Abstract

At , Newtonian flow past a circular cylinder exhibits a wake and detached shear layers which have transitioned to turbulence. It is the goal of the present study to investigate the effects which viscoelasticity has on this state and to identify the mechanisms responsible for wake stabilization. It is found through numerical simulations (employing the FENE-P rheological model) that viscoelasticity greatly reduces the amount of turbulence in the wake, reverting it back to a state which qualitatively appears similar to the Newtonian mode B instability which occurs at lower . By focusing on the separated shear layers, it is found that viscoelasticity suppresses the formation of the Kelvin–Helmholtz instability which dominates for Newtonian flows, consistent with previous studies of viscoelastic free shear layers. Through this shear layer stabilization, the viscoelastic far wake is then subject to the same instability mechanisms which dominate for Newtonian flows, but at far lower Reynolds numbers.

JFM classification

Instability: Instability Non-Newtonian Flows: Viscoelasticity Wakes/Jets: Wakes
Type
Papers
Information
Journal of Fluid Mechanics , Volume 693 , 25 February 2012 , pp. 297 - 318
Copyright
Copyright © Cambridge University Press 2012

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