Hydrodynamic interaction of cascades of plates during their relative motion
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Abstract
The problem of the hydrodynamic interaction taking place between the profiled plates of a (turbine) cascade is considered. This problem has hitherto been little studied — existing papers [1, 2] consider the model of effectively steady-state flow, the flow of the liquid at any instant of time being regarded as free from eddies, while time plays the part of a parameter; however, under practical conditions the field of velocities around moving cascades changes rapidly with time, so casting doubt on the validity of the steady-flow mode. The model proposed in this paper allows for high-frequency pulsations in the flow. The approximate solution here derived determines the interference between the profiles on the basis of a limiting solution with infinitely large Strouhal numbers. A typical calculation is presented.
Keywords
Mathematical Modeling Mechanical Engineer Approximate Solution Industrial Mathematic Relative MotionPreview
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Literature cited
- 1.G. S. Samoilovich, Transient Flow and Aeroelastic Vibrations of the Cascades of Turbodynamos [in Russian], Nauka, Moscow (1969).Google Scholar
- 2.V. É. Saren, “Hydrodynamic interactions of cascades of profiles in a potential flow,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk, i Gaza, No. 4 (1971).Google Scholar
- 3.D. N. Gorelov, V. B. Kurzin, and V. É. Saren, Aerodynamic Cascades in a Transient Flow [in Russian], Nauka, Novosibirsk (1971).Google Scholar