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Cessation of annular Poiseuille flows of Bingham plastics. (English) Zbl 1113.76014
Summary: We numerically examine the cessation of annular Poiseuille flow of Bingham plastics for various values of diameter ratio, using the regularized constitutive equation proposed by T. C. Papanastasiou [J. Rheol. 31, 385–404 (1987; Zbl 0666.76022)] and employing finite elements in space and a fully implicit scheme in time. When the yield stress is not zero, the calculated stopping times are finite and just below the theoretical upper bounds provided by R. Glowinski [Numerical methods for nonlinear variational problems. Springer Series in Computational Physics. New York etc.: Springer-Verlag. XV, (1984; Zbl 0536.65054)].

MSC:
76A05 Non-Newtonian fluids
76M10 Finite element methods applied to problems in fluid mechanics
76M20 Finite difference methods applied to problems in fluid mechanics
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