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2015 | OriginalPaper | Buchkapitel

4. Equilibrium Theory of Bidensity Particle-Laden Flows on an Incline

verfasst von : Sungyon Lee, Jeffrey Wong, Andrea L. Bertozzi

Erschienen in: Mathematical Modelling and Numerical Simulation of Oil Pollution Problems

Verlag: Springer International Publishing

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Abstract

The behaviour of inhomogeneous suspensions in a viscous oil is relevant in the context of oil spill and other oil-related disasters which may lead to the unwanted mixture of sand grains and oil. This warrants the fundamental study of the dynamics of solid particles in a thin film of viscous fluid. Specifically, sheared concentrated suspensions in a viscous fluid are subject to a diffusive mechanism called shear-induced migration that consists of “drift diffusion” and “self or tracer diffusion”. Drift diffusion causes particles to move from high to low concentrations, while tracer diffusion dictates mixing between particles of the same size. The latter mechanism becomes important in polydisperse slurries. In this chapter, we incorporate the effects of shear-induced migration and sedimentation to develop a model for the gravity-driven thin film of bidensity suspensions. We use this mathematical model to validate recent experimental results.

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Vorheriges Kapitel Prediction of the Formation of Water-in-Oil Emulsions

Nächstes Kapitel Operational Oil Spill Modelling: From Science to Engineering Applications in the Presence of Uncertainty

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Titel: Equilibrium Theory of Bidensity Particle-Laden Flows on an Incline
verfasst von: Sungyon Lee
Jeffrey Wong
Andrea L. Bertozzi
Verlag: Springer International Publishing
Buch: Mathematical Modelling and Numerical Simulation of Oil Pollution Problems
Print ISBN: 978-3-319-16458-8

Electronic ISBN: 978-3-319-16459-5

Copyright-Jahr: 2015
DOI: https://doi.org/10.1007/978-3-319-16459-5_4

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