A Unified Theory of Hybrid Problems for Fully Three-Dimensional Incompressible Rotor Flow Based on Variational Principles With Variable Domain

[+] Author and Article Information
Gao-lian Liu

Shanghai Institute of Mechanical Engineering, Shanghai, People’s Republic of China

J. Eng. Gas Turbines Power 108(2), 254-258 (Apr 01, 1986) (5 pages) doi:10.1115/1.3239896 History: Received June 14, 1985; Online October 15, 2009


Making use of functional variations with variable domain and natural boundary conditions, this paper presents a unified theory of various hybrid problems (being a unification as well as a generalization of direct and inverse problems) for three-dimensional incompressible potential flow in a rotor blading. Three families of variational principles (VPs) have been established and provide a series of new rational ways for blade design and a sound theoretical basis for the finite element method (FEM). This theory can be extended to compressible and rotational flows and also constitutes an important part of the optimum design theory of bladings [8].

Copyright © 1986 by ASME
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