Hostname: page-component-6bb9c88b65-wr9vw Total loading time: 0 Render date: 2025-07-22T22:09:47.585Z Has data issue: false hasContentIssue false
  • English
  • Français

Condensation on and evaporation from droplets by a moment method

Published online by Cambridge University Press:  29 March 2006

Robert E. Sampson  and
George S. Springer
Robert E. Sampson
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor
George S. Springer
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 36 , Issue 3 , 1 May 1969 , pp. 577 - 584
Copyright
© 1969 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

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.