Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computational analysis of interface evolution and droplet pinch-off
  mechanism in two-phase liquid flow through T-junction microfluidic system   This work has explored interface evolution and pinch-off mechanism of the
droplet formation in two-phase flow through cross-flow microfluidic device. The
two-dimensional mathematical model equations have been solved using the finite
element method under the squeezing regime ($Ca_c < 10^{-2}$) for wide range of
flow rates ($Qr = 0.1 - 10$) and fixed contact angle ($\theta=135^o$). The
droplet formation process has been classified into various instantaneous stages
as initial, filling, squeezing, pinch-off and stable droplet through
microscopic visualization of interface evolution in phase profiles. The
dynamics of interface, and point pressure in both phases is further gained and
discussed. Maximum pressure in the continuous phase varied linearly with Qr.
The droplet pinch-off mechanism has been thoroughly elucidated by determining
the local radius of the curvature ($R_{c,min}$) and neck width (2r) during the
squeezing and pinch-off stages. At the pinch-off point, both $R_{c,min}$ and 2r
are non-linearly related to Qr. Further, the topological dynamics of interface
has been explored by analyzing the Laplace pressure ($p_{\text{L}}$), acting on
the interface curvature, evaluated using (a) pressure sensors in both phases,
(b) local radius of curvature, and (c) minimum radius of curvature. The
insights obtained from the present work can reliably be used in designing the
model and prototypes of microfluidic devices for generating monodispersed
droplets in emulsions, and the droplet breakup mechanism would help accurate
prediction of the pinch-off moment. The proposed knowledge provides detailed
insights of the interface evolution and droplet pinch-off to a precision of 10
$\mu$s and resolution of 10 $\mu$m, equivalent to experimental flow
visualization with a high-speed ($10^{5}$ fps) and high-resolution (10 $\mu$m
pixel size) camera.

7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom