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Nonlinear elastic polymers in random flow

Published online by Cambridge University Press:  27 September 2005

M. MARTINS AFONSO  and
D. VINCENZI
M. MARTINS AFONSO
Affiliation:
INFM-Dipartimento di Fisica, Università di Genova and INFN, Sezione di Genova, Via Dodecaneso 33, 16146 Genova, Italy
D. VINCENZI
Affiliation:
Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy Max-Planck-Institut für Dynamik und Selbstorganisation, Göttingen, Germany LASSP, Clark Hall, Cornell University, Ithaca, NY 14853, USA
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Abstract

Polymer stretching in random smooth flows is investigated within the framework of the FENE dumbbell model. The advecting flow is Gaussian and short-correlated in time. The stationary probability density function of polymer extension is derived exactly. The characteristic time needed for the system to attain the stationary regime is computed as a function of the Weissenberg number and the maximum length of polymers. The transient relaxation to the stationary regime is predicted to be exceptionally slow in the proximity of the coil–stretch transition.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 540 , 10 October 2005 , pp. 99 - 108
Copyright
© 2005 Cambridge University Press

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