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Inertial migration of a rigid sphere in three-dimensional Poiseuille flow

Published online by Cambridge University Press:  22 January 2015

Kaitlyn Hood ,
Sungyon Lee  and
Marcus Roper
Kaitlyn Hood*
Affiliation:
Department of Mathematics, University of California, Los Angeles, CA 90095, USA
Sungyon Lee
Affiliation:
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USA
Marcus Roper
Affiliation:
Department of Mathematics, University of California, Los Angeles, CA 90095, USA
*
†Email address for correspondence: [email protected]
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Abstract

Inertial lift forces are exploited within inertial microfluidic devices to position, segregate and sort particles or droplets. However, the forces and their focusing positions can currently only be predicted by numerical simulations, making rational device design very difficult. Here we develop theory for the forces on particles in microchannel geometries. We use numerical experiments to dissect the dominant balances within the Navier–Stokes equations and derive an asymptotic model to predict the lateral force on the particle as a function of particle size. Our asymptotic model is valid for a wide array of particle sizes and Reynolds numbers, and allows us to predict how focusing position depends on particle size.

JFM classification

Low-Reynolds-number flows: Low-Reynolds-number flows Micro-/Nano-fluid dynamics: Microfluidics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 765 , 25 February 2015 , pp. 452 - 479
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Copyright
© 2015 Cambridge University Press 

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