Citation
Mathews, Warren Edward (1953) On the flow of vapor between liquid surfaces. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd05062003114142
Abstract
An analysis of the onedimensional 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 (nonlinear) steadyflow equations, subject only to the condition [gamma]M[superscript 2] <= 1, and 2) a relatively simple approximate form of the nonsteadyflow 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 onedimensional problem is extended also to cylindrically symmetric twodimensional and spherically symmetric threedimensional flows. In addition, an alternative solution for the pressure perturbation is obtained by a method which, while clearly nonexact, does not explicitly involve a neglect of higher order terms.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Degree Grantor:  California Institute of Technology 
Division:  Physics, Mathematics and Astronomy 
Major Option:  Physics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  1 January 1953 
Record Number:  CaltechETD:etd05062003114142 
Persistent URL:  http://resolver.caltech.edu/CaltechETD:etd05062003114142 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  1645 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  08 May 2003 
Last Modified:  26 Dec 2012 02:40 
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