Rouse model with fluctuating internal friction
arXiv:2102.09112 · doi:10.1122/8.0000255
Abstract
A coarse-grained bead-spring-dashpot chain model with the dashpots representing the presence of internal friction, is solved exactly numerically, for the case of chains with more than two beads. Using a decoupling procedure to remove the explicit coupling of a bead's velocity with that of its nearest neighbors, the governing set of stochastic differential equations are solved with Brownian dynamics simulations to obtain material functions in oscillatory and steady simple shear flow. Simulation results for the real and imaginary components of the complex viscosity have been compared with the results of previously derived semi-analytical approximations, and the difference in the predictions are seen to diminish with an increase in the number of beads in the chain. The inclusion of internal friction results in a non-monotonous variation of the viscosity with shear rate, with the occurrence of continuous shear-thickening following an initial shear-thinning regime. The onset of shear-thickening in the first normal stress coefficient is pushed to lower shear rates with an increase in the internal friction parameter.
arXiv comment24 pages, 10 figures, includes supplementary information
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Cited by in corpus (4)
- Dilute polymer solutions under shear flow: comprehensive qualitative analysis using a bead-spring chain model with a FENE-Fraenkel spring
- Shear viscosity for finitely extensible chains with fluctuating internal friction and hydrodynamic interactions
- How important are fluctuations in the treatment of internal friction in polymers?
- Dissipative response of driven bead-spring-dashpot chains