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Deformation of a flexible polymer in a random flow with long correlation time

Published online by Cambridge University Press:  07 February 2011

STEFANO MUSACCHIO  and
DARIO VINCENZI
STEFANO MUSACCHIO
Affiliation:
CNRS UMR 6621, Laboratoire J.-A. Dieudonné, Université de Nice Sophia Antipolis, Parc Valrose, 06108 Nice, France
DARIO VINCENZI*
Affiliation:
CNRS UMR 6621, Laboratoire J.-A. Dieudonné, Université de Nice Sophia Antipolis, Parc Valrose, 06108 Nice, France
*
†Email address for correspondence: dario.vincenzi@unice.fr
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Abstract

The effects induced by long temporal correlations of the velocity gradients on the dynamics of a flexible polymer are investigated by means of theoretical and numerical analysis of the Hookean and finitely extensible nonlinear elastic (FENE) dumbbell models in a random renewing flow. For Hookean dumbbells, we show that long temporal correlations strongly suppress the Weissenberg-number dependence of the power-law tail characterising the probability density function (PDF) of the elongation. For the FENE model, the PDF becomes bimodal, and the coil–stretch transition occurs through the simultaneous drop and rise of the two peaks associated with the coiled and stretched configurations, respectively.

JFM classification

Non-Newtonian Flows: Polymers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 670 , 10 March 2011 , pp. 326 - 336
Copyright
Copyright © Cambridge University Press 2011

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