Abstract:

Deterministic simulation approach was applied to calculating numerically the micro-macro model describing the dynamics of dilute polymeric fluids，in which the finite volume method（FVM）was used to solve the conservation equations on the macroscopic level and the spectral method was used to solve the Fokker-Planck equation and the polymeric contribution to the extra-stress tensor on the mesoscopic level.This approach was used to simulate plane Couette flows of dilute polymeric fluids by the FENE dumbbell models.The evolution of the velocity profile was obtained and the influences of the moving plate velocity，the dimensionless finite extensibility parameter of dumbbells and Deborah number on the polymeric fluids flows were analyzed.The combination of FVM and the spectral method was effectively used to solve the micro-macro model describing the polymeric fluids flows.