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

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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.

Original languageEnglish
Pages (from-to)27-33
Number of pages7
JournalKorean Journal of Chemical Engineering
Volume21
Issue number1
Publication statusPublished - 2004 Jan 1

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Particle interactions
Mathematical models
Suspensions
Fluids
Pipe flow

Keywords

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

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Chemistry(all)

Cite this

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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.",
keywords = "Inertial Migration, Particle-particle Interaction, Segre-Silberberg Effect, Shear-induced Migration, Suspension, Velocity Blunting",
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N2 - 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.

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.

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KW - Shear-induced Migration

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KW - Velocity Blunting

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