Spherical Particle Migration Evaluation in Low Reynolds Number Couette Flow Using Smooth Profile Method

Spherical Particle Migration Evaluation in Low Reynolds Number Couette Flow Using Smooth Profile Method

Mahyar Pourghasemi Nima Fathi Peter Vorobieff Goodarz Ahmadi Seyed Sobhan Aleyasin Luís Eça

Mechanical Engineering Department, University of New Mexico, Albuquerque, NM, USA

Mechanical and Aeronautical Engineering Department, Clarkson University, Potsdam, NY, USA

Department of Civil and Environmental Engineering, University of Windsor, Windsor, Ontario, Canada

Mechanical Engineering Department, Instituto Superior Técnico, Lisbon, Portugal

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© 2021 IIETA. This article is published by IIETA and is licensed under the CC BY 4.0 license (http://creativecommons.org/licenses/by/4.0/).



An Eulerian–Lagrangian model is developed to investigate the solid particle migration in low Reynolds number shear flows between two parallel plates. A continuous kernel function with a predefined thickness is applied in the implemented numerical model to smooth the discontinuity at the interface between primary and secondary phases. At each time step, the solid particle’s rotation and displacement are calculated to directly capture the interaction between the solid particle and primary liquid phase without simplification. Solution verification is performed using the global deviation grid convergence index approach. The observed order of accuracy for the primary phase solver approaches 2, consistent with the formal order of accuracy of the applied discretization scheme. The obtained velocity pro- files from the implemented numerical approach show a good agreement with the analytical solution, confirming the single-phase flow solver’s reliability. The obtained numerical results from the applied Eulerian–Lagrangian multiphase model are also compared with experimental data from a linear shear flow apparatus with suspended buoyant particles, and good agreement was found.


CFD, multiphase flow, particle migration, shear flow, solid–fluid interaction, verification and validation


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