Abstract: Because there are no suitable constitutive equations available to describe me-chanical behaviour of fibre suspensions in viscoelastic fluids,research efforts have been so ferlimited to fiber suspensions in Newtonion fluid. The constitutive equation for fibre suspen-sions in the Oldroyd-B fluid is improved by adopting the NUCM model, and 2-D agitatedfibre suspension flows both in the Newtonian and Oldroyd-B fluid are simulated numeri-cally. The results indicate that the model and the numerical method used in...