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Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received February 24, 2010
Accepted March 29, 2010

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Inertial migration and multiple equilibrium positions of a neutrally buoyant spherical particle in Poiseuille flow

Choeng Ryul Choi¹ Chang Nyung Kim^{2 3†}

¹Department of Mechanical Engineering, College of Engineering, Kyung Hee University, Yongin 446-701, Korea ²College of Engineering, Kyung Hee University, Yongin 446-701, Korea ³Industrial Liaison Research Institute, Kyung Hee University, Yongin 446-701, Korea

cnkim@khu.ac.kr

Korean Journal of Chemical Engineering, July 2010, 27(4), 1076-1086(11), 10.1007/s11814-010-0214-7

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Abstract

The radial migration of a single neutrally buoyant particle in Poiseuille flow is numerically investigated by direct numerical simulations. The simulation results show that the Segre and Silberberg equilibrium position moves towards the wall as the Reynolds number increases and as the particle size decreases. At high Reynolds numbers, inner equilibrium positions are found at positions closer to the centerline and move towards the centerline as the Reynolds number increases. At higher Reynolds numbers, the Segre and Silberberg equilibrium position disappears and only the inner equilibrium position exists. We prove that the inner annuluses in the measurements of Matas, Morris & Guazzelli (J. Fluid Mech. 515, 171-195, 2004) are not transient radial positions, but are real equilibrium positions. The results on the inner equilibrium positions and unstable equilibrium positions are new and convince us of the existence of multiple_x000D_ equilibrium radial positions for neutrally buoyant particles.

Keywords

Segre and Silberberg Effect Particle Migration Suspensions Multiple Equilibrium Positions Fluid-particle Interaction

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