Hostname: page-component-7d684dbfc8-hsbzg Total loading time: 0 Render date: 2023-09-27T20:11:02.763Z Has data issue: false Feature Flags: { "corePageComponentGetUserInfoFromSharedSession": true, "coreDisableEcommerce": false, "coreDisableSocialShare": false, "coreDisableEcommerceForArticlePurchase": false, "coreDisableEcommerceForBookPurchase": false, "coreDisableEcommerceForElementPurchase": false, "coreUseNewShare": true, "useRatesEcommerce": true } hasContentIssue false

Flow of vapour in a liquid enclosure

Published online by Cambridge University Press:  11 April 2006

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


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.

Research Article
© 1976 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.)


Bankoff, S. G. 1962 A.I.Ch.E. J. 8, 63.
Bankoff, S. G. & Mikesell, R. D. 1953 Chem. Engng Prog. Symp. Ser. 29, 95.
Cooper, M. G. & Lloyd, A. J. P. 1966 Proc. 3rd Int. Heat Transfer Conf., vol. 3, pp. 193203. New York: A.I.Ch.E.
Cooper, M. G. & Lloyd, A. J. P. 1969 Int. J. Heat Mass Transfer, 12, 895.
Gunther, F. C. 1951 Trans. A.S.M.E. 73, 115.
Johnson, M. A., De La Pena, J. & Mesler, R. B. 1966 Chem. Eng. Progr. Symp. Ser. 62, 1.
Judd, R. L. & Shoukry, S. M. 1975 J. Heat Transfer, 97, 494.
Plesset, M. S. 1952 J. Chem. Phys. 20, 790.
Snyder, N. W. 1956 Summary of Conf. on Bubble Dynamics & Boiling Heat Transfer (ed. S. G. Bankoff, W. J. Colahan & D. R. Bartz), p. 13. Jet Propulsion Lab., Caltech. Memo. no. 20–137.
Snyder, N. W. & Robin, T. T. 1969 J. Heat Transfer, 90, 404.