Nonlinear elastic polymers in random flow

Martins Afonso, M.; Vincenzi, D.

doi:10.1017/S0022112005005951

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Nonlinear elastic polymers in random flow

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Vincenzi, D.
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Martins Afonso, M., & Vincenzi, D. (2005). Nonlinear elastic polymers in random flow. Journal of Fluid Mechanics, 540, 99-108. doi:10.1017/S0022112005005951.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-1551-F

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.