Mathematical model of migration of spherical particles in tube flow under the influence of inertia and particle-particle interaction
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In this paper, a mathematical model is considered of the migration of non-colloidal, spherical particles suspended in Newtonian fluid under Poiseuille flows by combining the inertial migration theory by Ho and Leal (JFM, 1974) and particle migration model in concentrated suspension by Phillips et al. (Phys. Fluids, 1992). The numerical solutions of the model equations reveal that the model set up here explains the experimental observation reported in the literature when Rep>1, at least qualitatively. It was concluded that both the inertia and particle-particle interaction should be taken into account properly to understand the particle migration in tube flow of suspension regardless of particle loading.
Key wordsShear-induced Migration Inertial Migration Particle-particle Interaction Suspension Velocity Blunting Segre-Silberberg Effect
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