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Preferred interparticle spacings in trains of particles in inertial microchannel flows

Published online by Cambridge University Press:  25 November 2015

Soroush Kahkeshani ,
Hamed Haddadi  and
Dino Di Carlo
Soroush Kahkeshani
Affiliation:
Department of Bioengineering, California NanoSystems Institute, University of California, Los Angeles, CA 90095, USA
Hamed Haddadi
Affiliation:
Department of Bioengineering, California NanoSystems Institute, University of California, Los Angeles, CA 90095, USA
Dino Di Carlo*
Affiliation:
Department of Bioengineering, California NanoSystems Institute, University of California, Los Angeles, CA 90095, USA
*
†Email address for correspondence: [email protected]
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Abstract

Suspended particles migrate towards inertial focusing positions close to walls and align into trains in finite inertia conduit flow. The relative contribution of inertial and viscous forces at the particle length scale, defined by the particle Reynolds number ($\mathit{Re}_{p}$), is a key parameter, where $\mathit{Re}_{p}=\langle \dot{\unicode[STIX]{x1D6FE}}\rangle D^{2}/\unicode[STIX]{x1D708}$ depends on the mean shear rate $\langle \dot{\unicode[STIX]{x1D6FE}}\rangle$, particle diameter $D$ and fluid kinematic viscosity $\unicode[STIX]{x1D708}$. Controlling the location of inertial focusing positions and the interparticle distance is critical in applications such as flow cytometry, imaging and cell entrapment in droplets. By using experimental observations in rectangular microchannels and lattice Boltzmann numerical simulations of dilute suspension flow, the spacing between particles aligned in trains is measured. From the modes of the probability density function of interparticle spacing, preferred spacings at $5D$ and $2.5D$ are observed. At lower $\mathit{Re}_{p}$, the preferred spacing forms around $5D$, and with increasing $\mathit{Re}_{p}$ the spacing at $2.5D$ becomes more pronounced. With increasing concentration of the suspension the spacing is influenced by particle crowding effects until stable trains are no longer observed.

JFM classification

Micro-/Nano-fluid dynamics: Microfluidics Micro-/Nano-fluid dynamics: Micro-/Nano-fluid dynamics Complex Fluids: Suspensions
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 786 , 10 January 2016 , R3
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Copyright
© 2015 Cambridge University Press 

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