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Statistics of Polymer Extension in a Random Flow with Mean Shear

M. Chertkov·I. Kolokolov·V. Lebedev·K. Turitsyn
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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.

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M. Chertkov, I. Kolokolov, V. Lebedev, K. Turitsyn. 2004-11-28. Statistics of Polymer Extension in a Random Flow with Mean Shear. https://arxiv.org/abs/cond-mat/0411705

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