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An Approximate Method of Calculating Three-Dimensional Compressible Flow in Axial Turbomachines


Holmquist, Carl Oreal (1953) An Approximate Method of Calculating Three-Dimensional Compressible Flow in Axial Turbomachines. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/3FB2-G132.


The two principal existing methods of calculating axially-symmetric compressible flow in turbomachines are: (1) a simplified one-dimensional analysis, and (2) numerical methods using the complete or linearized flow equations. The first is not satisfactory for multi-stage turbines with appreciable wall divergence; the second is very tedious and time consuming. The purpose of this investigation is to extend the approximate methods, successfully used in calculating incompressible flow in compressors with constant blade height, to the analysis of compressible flow in turbomachines with variable blade height. Assuming that the blades can be completely defined by the exit flow angle, and neglecting the influence of downstream blades, the analysis is made considering the flow between successive blade rows only. With these restrictions, subsonic and isentropic supersonic flow patterns can be determined for arbitrary boundary shapes as long as separation does not occur. Average losses can be accounted for by the use of a polytropic law, and the effect of radial variations in stagnation temperature can be included without difficulty. Examples illustrating the flexibility and practical value of the iteration method, and the rapid convergence of successive solutions are given.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Aeronautics and Mathematics)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Minor Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Rannie, W. Duncan (advisor)
  • Tsien, Hsue Shen (advisor)
  • Marble, Frank E. (advisor)
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1953
Record Number:CaltechETD:etd-04232003-115022
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1468
Deposited By: Imported from ETD-db
Deposited On:24 Apr 2003
Last Modified:19 May 2023 21:07

Thesis Files

PDF (Holmquist_co_1953.pdf) - Final Version
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