Nonlinear elastic polymers in random flow
arXiv:nlin/0504044 · doi:10.1017/S0022112005005951
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.
10 pages, to be published in J. Fluid Mech
References in corpus (7)
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Cited by in corpus (15)
- Polymers in Fluid Flows
- Dynamical Slowdown of Polymers in Laminar and Random Flows
- Stretching of polymers around the Kolmogorov scale in a turbulent shear flow
- Statistics of polymer extensions in turbulent channel flow
- On the Peterlin approximation for turbulent flows of polymer solutions
- Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients
- Deformation of a flexible polymer in a random flow with long correlation time
- Single polymer dynamics in elongational flow and the confluent Heun equation
- Dynamics of threads and polymers in turbulence: power-law distributions and synchronization
- Boundary layer of elastic turbulence
- Effect of internal friction on the coil-stretch transition in turbulent flows
- Bead-rod-spring models in random flows
- Series solutions of confluent Heun equations in terms of incomplete Gamma-functions
- Polymer stretching in laminar and random flows: entropic characterization
- Turbulent stretching of dumbbells with hydrodynamic interactions: an analytical study