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Simulations of three-dimensional viscoelastic flows past a circular cylinder at moderate Reynolds numbers

Published online by Cambridge University Press:  29 March 2010

DAVID RICHTER ,
GIANLUCA IACCARINO  and
ERIC S. G. SHAQFEH
DAVID RICHTER
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
GIANLUCA IACCARINO
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
ERIC S. G. SHAQFEH*
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
*
†Email address for correspondence: [email protected]
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Abstract

The results from a numerical investigation of inertial viscoelastic flow past a circular cylinder are presented which illustrate the significant effect that dilute concentrations of polymer additives have on complex flows. In particular, effects of polymer extensibility are studied as well as the role of viscoelasticity during three-dimensional cylinder wake transition. Simulations at two distinct Reynolds numbers (Re = 100 and Re = 300) revealed dramatic differences based on the choice of the polymer extensibility (L2 in the FENE-P model), as well as a stabilizing tendency of viscoelasticity. For the Re = 100 case, attention was focused on the effects of increasing polymer extensibility, which included a lengthening of the recirculation region immediately behind the cylinder and a sharp increase in average drag when compared to both the low extensibility and Newtonian cases. For Re = 300, a suppression of the three-dimensional Newtonian mode B instability was observed. This effect is more pronounced for higher polymer extensibilities where all three-dimensional structure is eliminated, and mechanisms for this stabilization are described in the context of roll-up instability inhibition in a viscoelastic shear layer.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 651 , 25 May 2010 , pp. 415 - 442
Copyright
Copyright © Cambridge University Press 2010

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