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, Wi, defined as the product of the polymer relaxation time and the Lyapunov exponent of the flow. Four regimes, of the 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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