Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lattice Boltzmann study of the effects of viscoelasticity on droplet
  formation in microfluidic cross-junctions   Based on mesoscale lattice Boltzmann (LB) numerical simulations, we
investigate the effects of viscoelasticity on the break-up of liquid threads in
microfluidic cross-junctions, where droplets are formed by focusing a liquid
thread of a dispersed (d) phase into another co-flowing continuous (c)
immiscible phase. Working at small Capillary numbers, we investigate the
effects of non-Newtonian phases in the transition from droplet formation at the
cross-junction (DCJ) to droplet formation downstream of the cross-junction (DC)
(Liu $\&$ Zhang, ${\it Phys. ~Fluids.}$ ${\bf 23}$, 082101 (2011)). We will
analyze cases with ${\it Droplet ~Viscoelasticity}$ (DV), where viscoelastic
properties are confined in the dispersed phase, as well as cases with ${\it
Matrix ~Viscoelasticity}$ (MV), where viscoelastic properties are confined in
the continuous phase. Moderate flow-rate ratios $Q \approx {\cal O}(1)$ of the
two phases are considered in the present study. Overall, we find that the
effects are more pronounced in the case with MV, where viscoelasticity is found
to influence the break-up point of the threads, which moves closer to the
cross-junction and stabilizes. This is attributed to an increase of the polymer
feedback stress forming in the corner flows, where the side channels of the
device meet the main channel. Quantitative predictions on the break-up point of
the threads are provided as a function of the Deborah number, i.e. the
dimensionless number measuring the importance of viscoelasticity with respect
to Capillary forces.

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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph