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New Methods of Solving the Equations for the Flow of a Compressible Fluid


Clauser, Francis Hettinger and Clauser, Milton Ure (1937) New Methods of Solving the Equations for the Flow of a Compressible Fluid. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ZAWH-VK93.


The usual equations for the flow of a compressible fluid are non-linear in character and difficult to solve. It has been found that if the components of velocity are taken as independent variables, the resulting equations are linear. These equations are developed and new forms introduced.

A new function, Γ is introduced and a method advanced for effecting the transformation from the plane where the velocity components are coordinates, to the physical plane where x and y are coordinates.

A new way of finding plausible solutions to investigate is given and the case of flow in a corner is worked out in detail. The flow is found to have an anomalous behavior, the reason for which is explained. This solution is applied to the flow behind a curved shock wave.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Aeronautics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Awards:Caltech Distinguished Alumni Award, 1996
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • von Kármán, Theodore
Group:GALCIT, Caltech Distinguished Alumni Award
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1937
Record Number:CaltechETD:etd-11122003-175229
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4526
Deposited By: Imported from ETD-db
Deposited On:13 Nov 2003
Last Modified:16 Aug 2023 23:17

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