Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shape-design for stabilizing micro-particles in inertial microfluidic
  flows   Design of microparticles which stabilize at the centerline of a channel flow
when part of a dilute suspension is examined numerically for moderate Reynolds
numbers ($10 \le Re \le 80$). 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 (NURBS)-based
representation. Shape-design is posed as an optimization problem and solved
using adaptive Bayesian optimization. We focus on designing particles for
maximal stability at the channel-centerline robust to perturbations. Our
results indicate that centerline-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's (particle chord-to-channel width ratio) and
Re's ($0.1 \le k \le 0.4, 10 \le Re \le 80$). Particles at high-k's and Re's
are highly stabilized when compared to those at low-k's and Re's. A comparison
of the modified dumbbell designs from the current framework also shows better
performance to perturbations in Fluid-Structure Interaction (FSI) when compared
to the rod-disk model reported previously (Uspal & Doyle 2014) for low-Re
Hele-Shaw flow. We identify basins of attraction around the centerline, which
span larger release-angle-ranges and lateral locations (tending to the channel
width) for narrower channels, which effectively standardizes the notion of
global focusing in such configurations using the current stability-paradigm.
The present framework is illustrated for 2D cases and is potentially
generalizable to stability in 3D flow-fields. The current formulation is also
agnostic to Re and particle/channel geometry which indicates substantial
potential for integration with imaging flow-cytometry tools and microfluidic
biosensing-assays.

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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con