A New Method of Calculating Optimum Velocity Distribution Along the Blade Surface on Arbitrary Stream Surface of Revolution in Turbomachines PUBLIC ACCESS

[+] Author Affiliations
Zou Zixiang, Yuan Ding

Chinese Academy of Sciences, Beijing, China

Paper No. 87-GT-30, pp. V001T01A010; 5 pages
  • ASME 1987 International Gas Turbine Conference and Exhibition
  • Volume 1: Turbomachinery
  • Anaheim, California, USA, May 31–June 4, 1987
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7923-8
  • Copyright © 1987 by ASME


This paper presents a physical model and its mathematical expressions (partial differential equation group), which are to be used to calculate the optimum velocity distribution on blade surface. The method is based on the theory of boundary layer and the calculation of cascade loss, and to employ the Pontijagin maximum principle as well as the new optimum techniques in applied mathematics. In this paper, a computing method of optimum velocity distribution along the blade surface in 2-D incompressible flow is presented by analysing and solving the equation group, and then by using the method which is presented by Zou Zixiang (1976), and through a logical analysis, a new method has been offered, which can converted from an optimum velocity distribution along the plane stream surface of incompressible fluid flow into that of an arbitrary stream surface of revolution in compressible fluid flow.

Copyright © 1987 by ASME
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