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Generalized Euler’s Turbomachine Equation and Free Vortex Sheet Conditions in Separated/Cavitated Turbo-Flows FREE

[+] Author Affiliations
Gao-Lian Liu

Shanghai University and Shanghai Institute of Appl. Maths. & Mechanics, Shanghai, People’s Republic China

Paper No. 95-GT-171, pp. V001T01A037; 8 pages
doi:10.1115/95-GT-171
From:
  • ASME 1995 International Gas Turbine and Aeroengine Congress and Exposition
  • Volume 1: Turbomachinery
  • Houston, Texas, USA, June 5–8, 1995
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7878-1
  • Copyright © 1995 by ASME

abstract

In the present paper four fundamental problems in turbomachinery aerodynamic theory are studied in depth: (1) It is shown that the well–known Euler’s equation for turbomachine power is valid only for shrouded impellers. Then, a generalization of it to unshrouded impellers is carried out. (2) An equation relating the free trailing vortex distribution along the blade span to that of the swirl moment rVθ is derived, yielding a condition for the vanishing of free trailing vortex sheets. (3) The free surface conditions in separated flow are shown to be entirely different from those in cavitated flow. (4) Generlized Kutta conditions for 3–D rotor bladings in separated and caviated flows are also derived. All these results are of fundamental value in both analytical and numerical handlings of fully 3–D rotor–flows.

Copyright © 1995 by ASME
This article is only available in the PDF format.

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