A deformation tensor model for nonlinear rheology of FENE polymer solutions

摘要: A new closure model is developed for the nonlinear rheology of dilute solutions finitely extensible elastic polymer molecules. Unlike previous models, which rely on writing unknown higher-order moments conformation distribution functions in terms lower-order moments, this deformation tensor consists a tractable approximation function and an evolution equation any flow. In order to fix approximation, required yield exact elongational viscosity FENE dumbbells steady uniaxial extensional Thereafter, tested start-up flow, shear all cases exhibits reasonable dynamics qualitative agreement with experiment. Indeed, transient behavior experiment exceeds that either or FENE-P