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On approximation of non-Newtonian fluid flow by the finite element method. (English) Zbl 1388.76154
Summary: The problem of numerical approximation of non-Newtonian fluid flow with free surface is considered. Namely, the flow of fresh concrete is addressed. Industrial mixtures often behaves like non-Newtonian fluids exhibiting a yield stress that needs to be overcome for the flow to take place, cf. [R. B. Bird et al., Dynamics of polymeric liquids. I: Fluid mechanics. New York, NY: Wiley (1987); R. P. Chhabra and J. F. Richardson, Non-Newtonian flow in the process industries. Oxford, etc.: Butterworth-Heinemann (1999)]. The main interest is paid to the mathematical formulation of the problem and to discretization with the aid of finite element method. The described numerical procedure is applied onto the solution of several problems.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76A05 Non-Newtonian fluids
74S05 Finite element methods applied to problems in solid mechanics
76T10 Liquid-gas two-phase flows, bubbly flows
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