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Condensation on and evaporation from droplets by a moment method

  • Robert E. Sampson (a1) and George S. Springer (a1)

The moment method proposed by Lees (1959) is applied to the problem of vapour condensation on and evaporation from spherical liquid droplets when the droplet is not in equilibrium with its surrounding. Using a four-moment solution, an analytical expression is derived for the mass flux to or from the droplet surface when the droplet is surrounded by a pure vapour. By neglecting changes in temperature, an analytical solution is also obtained for the mass flux when the droplet is immersed in a vapour-gas mixture. The results of both of these analyses are applicable in the range from λ/R → 0 to λ/R ∞, where λ is the mean free path and R the droplet radius, and it is shown that in the limits the results reduce to the appropriate free molecule and continuum expressions.

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Fuchs, N. A.1959 Evaporation and Droplet Growth in Gaseous Media. New York: Pergamon.
Hertz, H.1982 Am. Phys. 17, 177.
Jeans, J.1954 The Dynamical Theory of Gases, 4th ed. New York: Dover.
Kang, S. W.1967 AIAA. J. 5, 1288.
Knudsen, M.1915 Ann. Phys. 47, 697.
Langmuir, I.1915 J. Am. Chem. Soc. 37, 417.
Lees, L.1959 Guggenheim Aero. Lab. Memorandum, no. 51. California Inst. Tech.
Lees, L.1965 J. Soc. Indust. Appl. Math. 13, 278.
Marble, F. E.1966 International Symposium on Fluid Dynamics of Heterogeneous and Multiphase Continuous Media. Naples.
Schrage, R. W.1953 A Theoretical Study of Interphase Mass Transfer. New York: Columbia University Press.
Shankar, P. N.1968 Ph.D. Thesis. California Inst. Tech.
Stefan, J.1881 Wien. Ber. 83, 943.
Wasserstrom, E., Su, C. H. & Probstein, R. F.1965 Phys. Fluids, 8, 56.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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