Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bubbles dissolution in cylindrical microchannels   This work focuses on the dissolution of a train of unconfined bubbles in
cylindrical microchannels. We investigate how the mass transfer is affected by
the channel and bubble sizes, distance between bubbles, diffusivity,
superficial velocity, deformation of the bubble, the presence of surfactants in
the limit of rigid interface and off-centred positions of the bubbles. We
analyse the influence of the dimensionless numbers and especially the distance
between bubbles and the P\'eclet number, Pe, which we vary among eight decades
and identify five different dissolution regimes. We show different
concentration patterns and the dependence of the Sherwood numbers, Sh. These
regimes can be classified by either the importance of the streamline diffusion
or by the interaction between bubbles. For small Pe the streamline diffusion is
not negligible as compared to convection whereas for large Pe, convection
dominates in the streamline direction and, thus, crosswind diffusion becomes
crucial in governing the dissolution through boundary layers or of the
remaining wake behind the bubbles. Bubbles interaction takes place for very
small Pe for which the dissolution is purely diffusive or for very large Pe
numbers in which case long wakes eventually reach the following bubble. We also
observe that the bubble deformability mainly affects the Sh in the regime for
very large Pe in which bubbles interaction matters, and also that the rigid
interface effect affects the boundary layer and the remaining wake. The effect
of off-centred position of the bubble, determined by the transverse force
balance, is also limited to large Pe. The boundary layers in rigid bubble
surfaces are thicker as compared to those on stress-free bubble surface and,
thus, the dissolution is smaller. For centred bubbles, the influence of inertia
on the dissolution is negligible. Finally, we discuss underlying hypothesis of
the model.

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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an