Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermocapillary effect on the cross-stream migration of a
  surfactant-laden droplet in Poiseuille flow   The motion of a viscous droplet in unbounded Poiseuille flow under the
combined influence of bulk-insoluble surfactant and linearly varying
temperature field aligned in the direction of imposed flow is studied
analytically. Neglecting fluid inertia, thermal convection and shape
deformation, asymptotic analysis is performed to obtain the velocity of a
force-free surfactant-laden droplet. The present study is focused on two
limiting situations of surfactant transport: (i) small surface Peclet number,
and (ii) high surface Peclet number. Thermocapillary-induced Marangoni stress,
strength of which relative to viscous stress is represented by thermal
Marangoni number, has strong influence on the distribution of surfactant on the
droplet surface. Temperature field not only affects the axial velocity of the
droplet but also has significant effect on the cross-stream velocity of the
droplet in spite of the fact that the temperature gradient is aligned with the
Poiseuille flow direction. When the imposed temperature increases in the
direction of Poiseuille flow, the droplet migrates towards the flow centerline.
The magnitude of both axial and cross-stream velocity components increases with
the thermal Marangoni number. However, when the imposed temperature decreases
in the direction of Poiseuille flow, the magnitude of both axial and
cross-stream velocity components may increase or decrease with the thermal
Marangoni number. Most interestingly, the droplet moves either towards the flow
centerline or away from it. Present study shows a critical value of the thermal
Marangoni number beyond which the droplet moves away from the flow centerline
which is in sharp contrast to the motion of a surfactant-laden droplet in
isothermal flow for which droplet always moves towards the flow centerline.

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The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int