Citation
Buhler, Rolf Dietrich (1948) Supersonic flow through cascades, with application to diffusers. Engineer's thesis, California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd12102008131330
Abstract
Supersonic flow through a twodimensional cascade of airfoils is discussed from the point of view of onedimensional gas dynamics. Two generalizations to compressible flow of the usual velocity vector diagrams are discussed, namely the Mach vector and the reduced velocity vector diagram. A relative mass flow parameter is found which represents the isentropic continuity equation on the two vector diagrams, so that for a set of given cascade inlet conditions all possible outlet velocities and directions appear on the diagrams. The largest possible tangential velocity component and the largest possible change in tangential momentum in a cascade are obtained as functions of the mass flow parameter. From these the largest obtainable stagnation pressure ratio and power of any arrangement of moving and stationary cascades may easily be obtained. Equations are given for the ratios of relative stagnation temperatures, mass flows and Mach numbers in two systems of reference moving with respect to each other. Methods for tracing graphically on the vector diagrams the flow through a stage are presented. The possibility of using cascades instead of shock waves for the transition from supersonic to subsonic flow in diffusers is pointed out. As an example a proposed single cascade supersonic diffuser is briefly analyzed by means of the reduced velocity vector diagram.
Item Type:  Thesis (Engineer's thesis) 

Subject Keywords:  Aeronautical Engineer 
Degree Grantor:  California Institute of Technology 
Division:  Engineering and Applied Science 
Major Option:  Aeronautics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  1 January 1948 
Record Number:  CaltechETD:etd12102008131330 
Persistent URL:  http://resolver.caltech.edu/CaltechETD:etd12102008131330 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  4934 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  08 Jan 2009 
Last Modified:  09 May 2016 18:36 
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