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The steady thermocapillary-driven motion of a large droplet in a closed tube. (English) Zbl 0781.76091

Summary: The steady thermocapillary-driven motion of a large fluid droplet in a closed tube subject to a constant temperature gradient in both two and three dimensions is analyzed. In particular, expressions are obtained for the velocity of the droplet in both cases. An error in the work of M. M. Hasan and R. Balasubramaniam [J. Thermophys. 3, 87ff. (1989)], who solved the same problem in the special case of an inviscid droplet, is identified and corrected.

MSC:

76T99 Multiphase and multicomponent flows
76D45 Capillarity (surface tension) for incompressible viscous fluids
80A20 Heat and mass transfer, heat flow (MSC2010)
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[1] DOI: 10.1017/S0022112059000684 · Zbl 0087.19902 · doi:10.1017/S0022112059000684
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[3] DOI: 10.1017/S0022112086001738 · doi:10.1017/S0022112086001738
[4] DOI: 10.1017/S0022112090001306 · Zbl 0686.76049 · doi:10.1017/S0022112090001306
[5] DOI: 10.1063/1.858475 · doi:10.1063/1.858475
[6] DOI: 10.1017/S0022112061000160 · Zbl 0096.20702 · doi:10.1017/S0022112061000160
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[10] DOI: 10.1017/S0022112087000521 · doi:10.1017/S0022112087000521
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