Formulation and simulation of a stochastic model for transiently attached nonlinear elastic dumbbells
Date
2022
Authors
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Publisher
University of Delaware
Abstract
The effect of the attractive potential of a bead on the breaking and reforming between elements of transiently networked fluids is explored via a mesoscale mathematical model, represented by a stochastic differential equation coupled with associated breaking/reforming process. The macroscale behaviors of these transiently networked, surfactant, or polymeric, fluids can include shear thinning, shear thickening, shear banding, and slow, non-exponential, relaxation. The network elements of the model consist of nonlinear elastic dumbbells. The model is considered under homogeneous imposed shearing flow and the macroscale effects of varying the mesoscale parameters of the model are examined. The computational algorithm to accommodate the model, particularly to assure that the transient behavior is accurately captured topologically and that a maximum spring length is not exceeded for the case of the Finitely Extensible spring, is presented. The steady-state and transient results are presented with a discussion of the effects of the parameters involved in the association and dissociation process. Further, the results of the multi-scale model simulations are described, showing desired macroscopic material behavior, such as a nonmonotonic homogeneous flow curve which suggest shear banding in a nonhomogeneous flow.
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Keywords
Transiently attached, Nonlinear elastic dumbbells, Attractive potential, Transiently networked fluid