Nonlinear elastic polymers in random flow

Details Nonlinear elastic polymers in random flow Nonlinear elastic polymers in random flow

2005-04-21

arxiv.org/abs/nlin/0504044v2

J. Fluid Mech. 540, pp. 99-108 (2005)

Nonlinear Sciences

Chaotic Dynamics

10 pages, to be published in J. Fluid Mech

Scientific paper

10.1017/S0022112005005951

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.

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