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Updated: Jul 10, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Motion of a spherical particle in a cylindrical channel using arbitrary Lagrangian-Eulerian method
Noor Al Quddus1, Walied A Moussa, Subir Bhattacharjee
1Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, T6G 2G8, Canada.
This study models rigid particle motion in channels using finite element analysis. It presents wall correction factors for infinite and finite channels, offering simple hindrance factor correlations.
Area of Science:
- Fluid Dynamics
- Computational Mechanics
- Particle Transport
Background:
- Particle motion in confined flows is crucial for various industrial processes.
- Accurate modeling requires accounting for channel geometry and fluid-structure interactions.
- Existing models often simplify channel geometry or flow conditions.
Purpose of the Study:
- To develop and validate a finite element model for rigid particle transport in cylindrical channels.
- To investigate wall correction factors for both infinite and finite length channels.
- To analyze particle motion at channel entrances, exits, and toward capped ends.
Main Methods:
- Utilized a finite element particle transport model based on Navier-Stokes and continuity equations.
- Employed arbitrary Lagrangian-Eulerian (ALE) kinematics for accurate simulation.
- Validated the model against analytical results in the Stokes flow regime for infinite channels.
Main Results:
- Presented wall correction factors for spherical particles in infinite and finite cylindrical channels.
- Quantified the effects of channel entrance, exit, and capped ends on particle motion.
- Demonstrated good agreement between numerical simulations and existing analytical solutions.
Conclusions:
- The finite element model accurately predicts particle transport in cylindrical channels.
- Developed correlations provide practical tools for estimating hindrance factors.
- The study enhances understanding of particle dynamics in confined, finite-geometry flows.
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