Abstract
Dilute polymer solutions represent a complex rheological response. A finitely extensible nonlinear elastic (FENE) bead-spring chain model for dilute solutions of polymer molecules in a Newtonian solvent is employed to describe the bead-bead interaction within a molecule. Brownian dynamics simulation is used to capture the most important rheological properties of dilute polymer solutions. A program based on this model is developed to simulate the steady elongational flow and inception of elongational flow, and the flow situations and the rheological material functions are investigated. Semi-implicit predictor-corrector methods are introduced and the results qualitatively agree with rheological theory.
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