The rheological behaviour of dilute solutions of finitely extensible nonlinear elastic (FENE) dumbbells in both steady-state and transient shear flow and in simple elongational flow is investigated. Three dumbbell models are compared: the original FENE model with the Warner spring force, which is treated by Brownian dynamics simulations, the FENE-P model using the Peterlin approximation, and the FENE-CR model using both the Peterlin approximation and a non-constant diffusion coefficient as suggested by Chilcott and Rallison. It is shown that while in the linear viscoelastic limit and in elongational flow the behaviour is close, in shear flow serious deviations appear. for LaTeX users @article{MHerrchen1997-68, author = {M. Herrchen and H. C. \"Ottinger}, title = {A detailed comparison of various FENE dumbbell models}, journal = {J. Non-Newtonian Fluid Mech.}, volume = {68}, pages = {17-42}, year = {1997} }
\bibitem{MHerrchen1997-68} M. Herrchen, H.C. \"Ottinger, A detailed comparison of various FENE dumbbell models, J. Non-Newtonian Fluid Mech. {\bf 68} (1997) 17-42.MHerrchen1997-68 M. Herrchen, H.C. \"Ottinger A detailed comparison of various FENE dumbbell models J. Non-Newtonian Fluid Mech.,68,1997,17-42 |