the transient shear flow of viscoelastic fluids in concentric annuli

Start-up annular flow of the fene-p dumbbells for which no analytical solutions are available were investigated. the rheological behavior of the model was compared and contrasted with hooken dumbbells and flow within a pipe. both unsteady and steady states were considered. according to the results the model exhibits a peculiar temporary rheological behavior in spite of geometrical similarities to a circular tube. also, the velocity profile and distribution of shear as well as radial pressure gradient were obtained from the steady-state results.