Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modeling unsteady B\'enard-Marangoni instabilities in drying volatile
  droplets on a heated substrate   We study unsteady internal flows in a sessile droplet of capillary size
evaporating in constant contact line mode on a heated substrate.
Three-dimensional simulations of internal flows in evaporating droplets of
ethanol and silicone oil have been carried out. For describing the Marangoni
flows we find it necessary to account for the diffusion of vapor in air, the
thermal conduction in all three phases and thermal radiation. The equations
have been solved numerically by finite element method using ANSYS Fluent. As a
result of the simulations, the nonstationary behavior of B\'enard-Marangoni
(BM) instabilities is obtained. At the first stage, a flower structure of BM
cells near the triple line emerge. For smaller contact angles, the cells grow
in size and occupy the central region of the droplet surface. Being closely
connected with recent experimental and theoretical studies, the results
obtained help to analyze and resolve the associated issues.

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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas