Abstract
A numerical study is presented for dilute to semi-concentrated fibre suspension flows in a Newtonian solvent through various contraction and expansion geometries. A time-stepping Taylor-Galerkin/pressure correction numerical scheme is employed to obtain steady solutions. We cover ranges of fibre concentrations and inertia beyond those in the literature, giving consideration to co-linear and orthogonal fibre alignment constitutive models adopting a quadratic closure approximation. Close agreement is obtained with both experimental and, where available, other numerical results for these problems.
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