Journal of Fluid Mechanics

Flow of vapour in a liquid enclosure

Milton S.  Plesset a1 and Andrea  Prosperetti a1p1
a1 Engineering Science Department, California Institute of Technology, Pasadena
p1 press Permanent address: Istituto di Fisica, Universitá degli Studi, Milano, Italy.

Article author query
plesset ms   [Google Scholar] 
prosperetti a   [Google Scholar] 


A solution is developed for the flow of a vapour in a liquid enclosure in which different portions of the liquid wall have different temperatures. It is shown that the vapour pressure is very nearly uniform in the enclosure, and an expression for the net vapour flux is deduced. This pressure and the net vapour flux are readily expressed in terms of the temperatures on the liquid boundary. Explicit results are given for simple liquid boundaries: two plane parallel walls at different temperatures and concentric spheres and cylinders at different temperatures. Some comments are also made regarding the effects of unsteady liquid temperatures and of motions of the boundaries. The hemispherical vapour cavity is also discussed because of its applicability to the nucleate boiling problem.

(Published Online April 11 2006)
(Received February 24 1976)