Abstract
These notes are intended to supplement a short lecture course covering the theoretical background of the dynamics of ideal visco-plastic fluids, e.g. Bingham fluids, Herschel-Bulkley fluids. They are targeted at an applied mathematics or engineering audience. The intention is to give a non-rigorous introduction to those parts of the theory that: (a) appear to have use in applications; (b) are needed for computational methods; (c) mark out visco-plastic fluids from purely viscous generalised Newtonian fluids.
This research is funded by the NSERC Discovery grant programme which is gratefully acknowledged. Parts of these notes contain results from ongoing and recent work with my group. I would like to thank Emad Chaparian, Ida Karimfazli and Ali Roustaei for their help with computed examples.
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Frigaard, I.A. (2019). Background Lectures on Ideal Visco-Plastic Fluid Flows. In: Ovarlez, G., Hormozi, S. (eds) Lectures on Visco-Plastic Fluid Mechanics. CISM International Centre for Mechanical Sciences, vol 583. Springer, Cham. https://doi.org/10.1007/978-3-319-89438-6_1
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