Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A numerical lift force analysis on the inertial migration of a
  deformable droplet in steady and oscillatory microchannel flows at different
  Capillary numbers and oscillation frequencies   Inertial migration of deformable particles has become appealing in recent
years due to its numerous applications in microfluidics and biomedicine. The
physics underlying the motion of such particles is contingent upon the presence
of lift forces in microchannels. This importance initiated several works to
analyze and quantify such forces acting on particles. However, since most of
such attempts have focused on solid and non-deformable particles, we extend the
lift force analysis for the case of deformable droplets and study the effects
of Capillary numbers on their dynamics in this paper. Furthermore, utilizing
oscillatory flows as an alternative for steady currents within the
microchannels has been proved to be beneficial by introducing new equilibrium
positions for the particles. Therefore, the present analysis includes the
oscillatory regimes and identifies the effects of oscillation frequencies on
lift forces as well. We then propose an expression that mimics the lift force
behavior in oscillatory flows accurately. Finally, we introduce a procedure to
derive and predict a simple expression for the steady and averaged oscillatory
lift for any given combination of Capillary number and oscillation frequency
within a continuous range.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph