Abstract

In a previous paper, we proposed a simple, low-storage finite element scheme for three-dimensional flow analysis of non-Newtonian fluids. The scheme is based on the GSMAC (generalized simplified marker and cell) finite element method, and employs rational Runge-Kutta time integration in order to maintain stability for high viscosity flow. In the present work, the flow of Carreau fluids through an axisymmetric abrupt contraction is calculated to confirm the applicability of the present scheme at low shear rates. The numerical results agree with numerical solutions calculated by Kim et al., and by means of comparing the results for two contraction ratios (1 : 4, 1 : 2), we investigate how the contraction ratio affects the velocity profiles at the plane of contraction and the pressure drop distance.

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