Statistics of Polymer Extension in a Random Flow with Mean Shear
arXiv:cond-mat/0411705
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, , defined as the product of the polymer relaxation time and the Lyapunov exponent of the flow. Four regimes, of the 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.
submitted to Journal of Fluid Mechanics