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Thermocapillary motion of a drop near a plane interface between liquids

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Abstract

The thermocapillary motion of a liquid drop immersed into another liquid near an infinite plane interface between two liquids is theoretically analyzed. The motion is considered under the conditions of a constant temperature gradient normal to the interface at infinity and small Reynolds and Peclet numbers. The problem is solved in bispherical coordinates. The analysis takes into consideration the thermal conductivity of the liquids and the thermocapillary motion of the liquids due to a nonuniform temperature distribution over the plane interface.

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References

  1. N. O. Young, J. S. Goldstein, and M. J. Block, J. Fluid. Mech. 6, 350 (1959).

    Article  ADS  MATH  Google Scholar 

  2. R. S. Subramanian and R. Balasubramaniam, The Motion of Bubbles and Drops in Reduces Gravity (Cambridge Univ., Cambridge, 2001).

    Google Scholar 

  3. R. S. Subramanian, R. Balasubramaniam, and G. Wozniak, in Physics of Fluids in Microgravity, Ed. by R. Monti (Taylor, London, 2001), p. 149.

    Google Scholar 

  4. S. H. Chen and H. J. Keh, Chem. Eng. Sci. 61, 5221 (2006).

    Article  Google Scholar 

  5. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Prentice Hall, Engelwood Cliffs, 1965; Mir, Moscow, 1976).

    Google Scholar 

  6. J. Stimson and G. B. Jeffry, Proc. R. Soc. London, Ser. A 111, 110 (1926).

    Article  ADS  MATH  Google Scholar 

  7. S. I. Grashchenkov, Aerosol. Sci. Technol. 25, 101 (1996).

    Article  Google Scholar 

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Authors and Affiliations

  1. Yaroslavl State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia

    S. I. Grashchenkov

  2. Pskov State University, pl. Lenina 2, Pskov, 180760, Russia

    S. I. Grashchenkov

Authors
  1. S. I. Grashchenkov
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Correspondence to S. I. Grashchenkov.

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Original Russian Text © S.I. Grashchenkov, 2012, published in Zhurnal Tekhnicheskoi Fiziki, 2012, Vol. 82, No. 5, pp. 36–41.

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Grashchenkov, S.I. Thermocapillary motion of a drop near a plane interface between liquids. Tech. Phys. 57, 615–620 (2012). https://doi.org/10.1134/S1063784212050131

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  • DOI: https://doi.org/10.1134/S1063784212050131

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