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Shape design for stabilizing microparticles in inertial microfluidic flows

Published online by Cambridge University Press:  14 January 2020

Aditya Kommajosula Open the ORCID record for Aditya Kommajosula [Opens in a new window] ,
Daniel Stoecklein ,
Dino Di Carlo  and
Baskar Ganapathysubramanian
Aditya Kommajosula
Affiliation:
Department of Mechanical Engineering, Iowa State University, Ames, IA50011, USA
Daniel Stoecklein
Affiliation:
Department of Bioengineering, University of California, Los Angeles, CA90095, USA
Dino Di Carlo
Affiliation:
Department of Bioengineering, University of California, Los Angeles, CA90095, USA
Baskar Ganapathysubramanian*
Affiliation:
Department of Mechanical Engineering, Iowa State University, Ames, IA50011, USA
*
†Email address for correspondence: [email protected]
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Abstract

Design of isolated microparticles which stabilize at the centreline of a channel flow is examined numerically, for moderate Reynolds numbers ($10\leqslant Re\leqslant 80$). This problem is motivated by the need for the design of shaped particle carriers for use in next generation microfluidic cell analysis devices. Stability metrics for particles with arbitrary shapes are formulated based on linear stability theory. Particle shape is parametrized by a compact, non-uniform rational B-spline-based representation. Shape design is posed as an optimization problem and solved using adaptive Bayesian optimization. We focus on designing particles for stability at the channel centreline robust to perturbations. Our results indicate that centreline focusing particles are families of characteristic ‘fish’/‘bottle’/‘dumbbell’-like shapes, exhibiting fore–aft asymmetry. A parametric exploration is then performed to identify stable particle designs at different $k$ values (particle chord-to-channel width ratio) and $Re$ values ($0.1\leqslant k\leqslant 0.4,10\leqslant Re\leqslant 80$). Particles at high $k$ values and $Re$ values are highly stabilized when compared to those at low $k$ values and $Re$ values. We validate the performance of designed particles to perturbations in flow using detailed fluid–structure interaction simulations over different $k$ values and $Re$ values. We identify a basin of attraction around the centreline, within which any arbitrary release results in rotationally stable centreline focusing. We find that this basin spans larger release angle ranges and lateral locations (tending to the channel width) for narrower channels. This effectively standardizes the notion of global focusing using the current stability paradigm in narrow channels, which eliminates the need for an independent design for global focusing in such configurations. The framework detailed in this work is illustrated for two-dimensional cases and is generalizable to stability in three-dimensional flow fields. The current formulation is agnostic to $Re$ and particle/channel geometry, which indicates substantial potential for integration with imaging flow cytometry tools and microfluidic biosensing assays.

JFM classification

Micro-/Nano-fluid dynamics: Microfluidics Mathematical Foundations: Computational methods
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 886 , 10 March 2020 , A14
Copyright
© 2020 Cambridge University Press

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Kommajosula et al. supplementary movie 1

Long channel FSI simulation for highly stable particle at Re = 20, k = 0.3 (angular perturbation)

Download Kommajosula et al. supplementary movie 1(Video)
Video 4.7 MB

Kommajosula et al. supplementary movie 2

Long channel FSI simulation for weakly stable particle at Re = 20, k = 0.3 (angular perturbation)

Download Kommajosula et al. supplementary movie 2(Video)
Video 5.8 MB

Kommajosula et al. supplementary movie 3

Long channel FSI simulation for unstable particle at Re = 20, k = 0.3 (angular perturbation)

Download Kommajosula et al. supplementary movie 3(Video)
Video 5.9 MB

Kommajosula et al. supplementary movie 4

Long channel FSI simulation for stable particle at Re = 20, k = 0.4 (angular perturbation)

Download Kommajosula et al. supplementary movie 4(Video)
Video 3.1 MB

Kommajosula et al. supplementary movie 5

Long channel FSI simulation for unstable particle at Re = 20, k = 0.4 (angular perturbation)

Download Kommajosula et al. supplementary movie 5(Video)
Video 3 MB

Kommajosula et al. supplementary movie 6

Long channel FSI simulation for stable particle at Re = 80, k = 0.4 (angular perturbation)

Download Kommajosula et al. supplementary movie 6(Video)
Video 1.2 MB

Kommajosula et al. supplementary movie 7

Long channel FSI simulation for unstable particle at Re = 80, k = 0.4 (angular perturbation)

Download Kommajosula et al. supplementary movie 7(Video)
Video 1.3 MB

Kommajosula et al. supplementary movie 8

Long channel FSI simulation for stable particle-1 at Re = 20, k = 0.7 (lateral perturbation)

Download Kommajosula et al. supplementary movie 8(Video)
Video 1.6 MB

Kommajosula et al. supplementary movie 9

Long channel FSI simulation for stable particle-2 at Re = 20, k = 0.7 (lateral perturbation)

Download Kommajosula et al. supplementary movie 9(Video)
Video 1.6 MB

Kommajosula et al. supplementary movie 10

Long channel FSI simulation for unstable particle at Re = 20, k = 0.7 (lateral perturbation)

Download Kommajosula et al. supplementary movie 10(Video)
Video 1.7 MB