Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effects of slippage on the dewetting of a droplet   In many macroscopic dynamic wetting problems, it is assumed that the
macroscopic interface is quasistatic, and the dissipation appears only in the
region close to the contact line. When approaching the moving contact line, a
microscopic mechanism is required to regularize the singularity of viscous
dissipation. On the other hand, if the characteristic size of a fluidic system
is reduced to a range comparable to the microscopic regularization length
scale, the assumption that viscous effects are localized near the contact line
is no longer justified. In the present work, such microscopic length is the
slip length. We investigate the dewetting of a droplet using the boundary
element method. Specifically, we solve for the axisymmetric Stokes flow with i)
the Navier-slip boundary condition at the solid/liquid boundary, and ii) a
time-independent microscopic contact angle at the contact line. The profile
evolution is computed for different slip lengths and equilibrium contact
angles. When decreasing the slip length, the typical nonsphericity first
increases, reaches a maximum at a characteristic slip length $\tilde{b}_m$, and
then decreases. Regarding different equilibrium contact angles, two universal
rescalings are proposed to describe the behavior for slip lengths larger or
smaller than $\tilde{b}_m$. Around $\tilde{b}_m$, the early time evolution of
the profiles at the rim can be described by similarity solutions. The results
are explained in terms of the structure of the flow field governed by different
dissipation channels: viscous elongational flows for large slip lengths,
friction at the substrate for intermediate slip lengths, and viscous shear
flows for small slip lengths. Following the transitions between these dominant
dissipation mechanisms, our study indicates a crossover to the quasistatic
regime when the slip length is small compared to the droplet size.

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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: math
14
The categories of this paper are: math-ph
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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int