Mathematical Model of Migration of Spherical Particles in Tube Mow Under the Influence of Inertia and Particle-particle Interaction

Chongyoup Kim

doi:10.1007/BF02705377

Mathematical Model of Migration of Spherical Particles in Tube Mow Under the Influence of Inertia and Particle-particle Interaction

Chongyoup Kim

Department of Chemical and Biological Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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 Re_p<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.

Original language	English
Pages (from-to)	27-33
Number of pages	7
Journal	Korean Journal of Chemical Engineering
Volume	21
Issue number	1
DOIs	https://doi.org/10.1007/BF02705377
Publication status	Published - 2004 Jan

Keywords

Inertial Migration
Particle-particle Interaction
Segre-Silberberg Effect
Shear-induced Migration
Suspension
Velocity Blunting

ASJC Scopus subject areas

Chemistry(all)
Chemical Engineering(all)

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10.1007/BF02705377

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title = "Mathematical Model of Migration of Spherical Particles in Tube Mow Under the Influence of Inertia and Particle-particle Interaction",

abstract = "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.",

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AB - 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.

KW - Inertial Migration

KW - Particle-particle Interaction

KW - Segre-Silberberg Effect

KW - Shear-induced Migration

KW - Suspension

KW - Velocity Blunting

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Mathematical Model of Migration of Spherical Particles in Tube Mow Under the Influence of Inertia and Particle-particle Interaction

Abstract

Keywords

ASJC Scopus subject areas

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