Statistics of Polymer Extension in a Random Flow with Mean Shear
Abstract
Considering the dynamics of a polymer with finite extensibility placed in a chaotic flow with large mean shear, we explain how the statistics of polymer extension changes with Weissenberg number, ${\it Wi}$, defined as the product of the polymer relaxation time and the Lyapunov exponent of the flow. Four regimes, of the ${\it Wi}$ number, are identified. One below the coil-stretched transition and three above the coil-stretched transition. Specific emphasis is given to explaining these regimes in terms of the polymer dynamics.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2004
- DOI:
- arXiv:
- arXiv:cond-mat/0411705
- Bibcode:
- 2004cond.mat.11705C
- Keywords:
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- Statistical Mechanics
- E-Print:
- submitted to Journal of Fluid Mechanics