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Nonlinear elastic polymers in random flow

M. Martins Afonso·D. Vincenzi
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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.

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M. Martins Afonso, D. Vincenzi. 2005-08-09. Nonlinear elastic polymers in random flow. https://doi.org/10.1017/s0022112005005951

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