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Time-dependent Poiseuille flows of visco-elasto-plastic fluids. (English) Zbl 1106.76011
Summary: A general constitutive equation for the stress tensor of non-Newtonian fluids is presented, which contains many well-known constitutive models, e.g., Oldroyd-B, Maxwell-A, Maxwell-B, Johnson-Segalman and Bingham models. We examine this constitutive equation with reference to a simple plane fluctuating flow of incompressible fluid through a horizontal channel bounded by two infinite parallel plates under the exertion of a periodic longitudinal pressure gradient. Numerical solutions are obtained and discussed, especially in connection with viscous, elastic and plastic behavior of non-Newtonian fluids.

MSC:
76A10 Viscoelastic fluids
76A05 Non-Newtonian fluids
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[19] Mellgren, N.: A combined viscoelastic plastic material in an oscillating pressure-driven plane channel flow. Master Thesis, Department of Mechanics, Darmstadt University of Technology, 2002.
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