INTERNAL VISCOSITY IN POLYMER KINETIC-THEORY - SHEAR FLOWS

The Gaussian closure method and Brownian dynamics simulations have bee n used to calculate the shear material properties of a dilute solution of Hookean dumbbells with internal viscosity. Results for the zero-sh ear-rate material properties and small amplitude oscillatory shear mat erial properties have been found analytically, and numerical results f or the steady state shear material properties are also presented. Two interpretations of the stress tensor are investigated and results are compared. Brownian dynamics simulations are used to obtain material pr operties of the Hookean dumbbell with internal viscosity without appro ximations. These simulation results are compared with the perturbation solution of Booij and van Wiechen as well as with a new Gaussian clos ure solution. Also presented are the contracted distribution functions as derived from the Gaussian closure method and from Brownian dynamic s simulations.