Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the stability of gravity-driven liquid films overflowing
  microstructures with sharp corners   We are concerned with the stability of thin liquid films overflowing single
microstructures with sharp corners. The microstructures were of rectangular and
triangular shape. Their heights and widths were 0.25, 0.5 and 0.75 times the
Nusselt film thickness. To observe smooth, wavy and very unstable films we
performed simulations with Reynolds numbers ranging from 10 to 70. The dynamics
of the liquid film and the overflowing gas phase were described by the coupling
between the Cahn-Hilliard and Navier-Stokes equations. The resulting model
forms a very tightly coupled and nonlinear system of equations. Therefore we
carefully selected the solution strategy to enable efficient and accurate
large-scale simulations. Our results showed that the formation of waves was
shifted to higher Reynolds numbers compared to the film on a smooth surface. If
waves were finally formed the microstructures led to irregular waves. Our
results indicate a great influence of the microstructure's shape and dimension
on the stability of the overflowing liquid film.

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The categories of this paper are: astro-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th