Journal of Fluid Mechanics

Condensation on and evaporation from droplets by a moment method

Robert E.  Sampson a1 and George S.  Springer a1
a1 Department of Mechanical Engineering, The University of Michigan, Ann Arbor

Article author query
sampson re   [Google Scholar] 
springer gs   [Google Scholar] 


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 [rightward arrow] 0 to λ/R [infty infinity], 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.

(Published Online March 29 2006)
(Received August 22 1968)