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In this paper, the finite element method is combined with the BrownianConfiguration Field (BFC) method to simulate the fibre suspension flow inaxisymmetric contraction and expansion passages. In order to solve for the highstress at high concentration, the Discrete Adaptive Viscoelastic StressSplitting (DAVSS) method is employed. For the axisymmetric contraction andexpansion passages with different geometry ratios, the results obtained arecompared to available constitutive models and experiments. The predicted vortexlength for dilute suspensions agrees well with experimental data in literature.Our numerical results show clearly the effect on vortex enhancement withincrease of the volume fractions and the aspect ratios. Effect of aspect ratioof fibres on the vortex length is also studied. It is found that for the lowerexpansion ratio flows the vortex dimension in the corner region is fairlyindependent of fibre concentration and aspect ratio of fibres while the saidvortex dimension increases with the increase of fibre concentration forcontraction flows. The finding suggests that the aligned fibre approximationtraditionally employed in previous work does not exactly describe the effect offibre motion, and the present BFC method is deemed more suitable for the flowof dilute fibre suspensions. In terms of numerics, the employment of DAVSSenhances numerical stability in the presence of high concentration of fibre inthe flow.

Numerical Simulation of Fibre Suspension Flow through an Axisymmetric Contraction and Expansion Passages by Brownian Configuration Field Method