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Inertial flow of a dilute suspension over cavities in a microchannel

Published online by Cambridge University Press:  13 December 2016

Hamed Haddadi  and
Dino Di Carlo
Hamed Haddadi*
Affiliation:
Department of Bioengineering, University of California Los Angeles, 420 Westwood Plaza, Los Angeles, CA 90095, USA California Nanosystems Institute, 570 Westwood Plaza, Los Angeles, CA 90095, USA
Dino Di Carlo
Affiliation:
Department of Bioengineering, University of California Los Angeles, 420 Westwood Plaza, Los Angeles, CA 90095, USA California Nanosystems Institute, 570 Westwood Plaza, Los Angeles, CA 90095, USA Jonsson Comprehensive Cancer Center, 10833 Le Conte Avenue, Los Angeles, CA 90024, USA Department of Mechanical Engineering, University of California Los Angeles, 420 Westwood Plaza, Los Angeles, CA 90095, USA
*
†Email address for correspondence: haddadi@ucla.edu
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Abstract

Microfluidic experiments and discrete particle simulations using the lattice-Boltzmann method are used to study interactions of finite size hard spheres and vortical flow inside confined cavities in a microchannel. The work focuses on entrapment of particles inside confined cavities and particle dynamics after entrapment. Numerical simulations and imaging of fluorescent tracers demonstrate that spiralling flow generates exchange of fluid mass between the vortical flow and the channel, contrary to the concept of a well-defined separatrix in unconfined cavities. An isolated finite size particle entrapped in the cavity migrates towards a stable orbit, i.e. a limit cycle trajectory. The topology of the limit cycle depends on cavity size, particle diameter and flow inertia, represented by Reynolds number. By studying various factors affecting the acceleration of a particle before entrapment, it is discussed that entrapment is a collective effect of flow morphology and particle dynamics. The effect of hydrodynamic interaction between particles inside the cavity, which results in deviation from the stable limit cycle orbit and depletion of cavities, will also be discussed. It is shown that a wall-confined microcavity entraps particles based on particle size, therefore it provides a platform for microfiltration.

JFM classification

Biological Fluid Dynamics: Biomedical flows Micro-/Nano-fluid dynamics: Microfluidics Complex Fluids: Suspensions
Type
Papers
Information
Journal of Fluid Mechanics , Volume 811 , 25 January 2017 , pp. 436 - 467
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Copyright
© 2016 Cambridge University Press 

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Haddadi and Di Carlo supplementay movie

Magnified near wall region to probe possibility of wall collision at Re = 308

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Video 830 KB

Haddadi and Di Carlo supplementay movie

Magnified near wall region to probe possibility of wall collision at Re = 308

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Video 879.4 KB

Haddadi and Di Carlo supplementary movie

Magnified near wall region to probe possibility of wall collision at Re = 246

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Video 1.2 MB

Haddadi and Di Carlo supplementary movie

Magnified near wall region to probe possibility of wall collision at Re = 246

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Video 1.3 MB

Haddadi and Di Carlo supplementary movie

Magnified near wall region to probe possibility of wall collision at Re = 185

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Video 967 KB

Haddadi and Di Carlo supplementary movie

Magnified near wall region to probe possibility of wall collision at Re = 185

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Video 942.3 KB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 2.02$ cavity at Re = 123

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Video 1.6 MB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 2.02$ cavity at Re = 123

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Video 1.9 MB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 2.02$ cavity at Re = 216

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Video 1.8 MB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 2.02$ cavity at Re = 216

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Video 3.4 MB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 3$ cavity at Re = 123

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Video 4.5 MB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 3$ cavity at Re = 123

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Video 10.7 MB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 3$ cavity at Re = 216

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Video 3.1 MB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 3$ cavity at Re = 216

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Video 3.4 MB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 5$ cavity at Re = 123

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Video 1 MB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 5$ cavity at Re = 123

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Video 1.7 MB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 5$ cavity at Re = 216

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Video 1.5 MB

Haddadi and Di Carlo supplementary movie

The limit cycle inside $\lambda = 5$ cavity at Re = 216

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Video 1.7 MB

Haddadi and Di Carlo supplementary movie

Simulation of fluid tracers shows break down of the separatrix

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Video 2.3 MB

Haddadi and Di Carlo supplementary movie

Simulation of fluid tracers shows break down of the separatrix

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Video 3.2 MB

Haddadi and Di Carlo supplementary movie

Fluorescent imaging of near wall zone at Re = 86 shows formation of a clear bifurcation

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Video 7.7 MB

Haddadi and Di Carlo supplementary movie

Fluorescent imaging of near wall zone at Re = 86 shows formation of a clear bifurcation

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Video 14.1 MB

Haddadi and Di Carlo supplementary movie

Fluorescent imaging of near wall zone at Re = 128 shows break down of the separatrix

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Video 4.9 MB

Haddadi and Di Carlo supplementary movie

Fluorescent imaging of near wall zone at Re = 128 shows break down of the separatrix

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Video 10.6 MB

Haddadi and Di Carlo supplementary movie

Fluorescent imaging of near wall zone at Re = 216 shows break down of the separatrix

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Video 8.7 MB

Haddadi and Di Carlo supplementary movie

Fluorescent imaging of near wall zone at Re = 216 shows break down of the separatrix

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Video 17.9 MB

Haddadi and Di Carlo supplementary movie

(Supplementary)

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Video 36.1 MB

Haddadi and Di Carlo supplementary movie

(Supplementary)

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Video 42.2 MB