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Supersonic Flow Through Cascades, with Application to Diffusers


Buhler, Rolf Dietrich (1948) Supersonic Flow Through Cascades, with Application to Diffusers. Engineer's thesis, California Institute of Technology. doi:10.7907/FJEG-RM29.


Supersonic flow through a two-dimensional cascade of airfoils is discussed from the point of view of one-dimensional 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 Engineering
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Stewart, Homer Joseph
Thesis Committee:
  • Stewart, Homer Joseph (chair)
  • Hollander, A.
  • Millikan, Clark Blanchard
  • Rannie, W. Duncan
Defense Date:1 January 1948
Record Number:CaltechETD:etd-12102008-131330
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4934
Deposited By: Imported from ETD-db
Deposited On:08 Jan 2009
Last Modified:21 Mar 2023 21:41

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PDF (Buhler_rd_1948.pdf) - Final Version
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