In order to investigate the unique viscosity of polymeric fluids in practical situations,a simple generalized viscosity model has been proposed and verified by a continuous contraction flow.This generalized viscosity model can be applied to those flows under the mixing shear and extension processing,and the same as traditional shear viscosities in simple steady-state shear,or extensional viscosities in simple extensional flows also.With several different commercial rheometers,the shear viscosity and extensional viscosity of the same non-Newtonian or Newtonian fluids have been measured.Comparisons between measurements and simulations demonstrate the applicability of this technique.