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On the Flow of Vapor Between Liquid Surfaces


Mathews, Warren Edward (1953) On the Flow of Vapor Between Liquid Surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/EHV7-1W20.


An analysis of the one-dimensional flow of vapor between parallel liquid surfaces of identical composition but different temperatures is presented. The low velocity steady flow analysis reported previously by Plesset is extended to steady flows in which the Mach number approaches unity, and to low velocity flows in which the liquid surface spacing and temperatures are allowed to vary slowly with time. More important among the new results obtained are 1) an exact solution in closed form of the (non-linear) steady-flow equations, subject only to the condition [gamma]M[superscript 2] <= 1, and 2) a relatively simple approximate form of the nonsteady-flow perturbation solution which applies whenever the product of liquid surface spacing and unperturbed current density is not unusually small. The perturbation technique developed for the one-dimensional problem is extended also to cylindrically symmetric two-dimensional and spherically symmetric three-dimensional flows. In addition, an alternative solution for the pressure perturbation is obtained by a method which, while clearly non-exact, does not explicitly involve a neglect of higher order terms.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Physics and Mathematics)
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Minor Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Plesset, Milton S.
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1953
Record Number:CaltechETD:etd-05062003-114142
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1645
Deposited By: Imported from ETD-db
Deposited On:08 May 2003
Last Modified:22 Mar 2023 17:31

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PDF (Mathews_we_1953.pdf) - Final Version
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