叶栅相似流场存在性与唯一性
STUDY ON EXISTENCE AND UNIQUENESS OF SIMILARITY TRANSFORMATION IN CASCADE
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摘要: 本文应用相似理论讨论了二维平面全位势方程及其不同程度的线化方程所描述的流场, 当进口马赫数不同时, 是否存在唯一与该马赫数对应的相似流场, 即相似流场对进口马赫数的存在性与唯一性问题。其结果可为叶栅流场的相似变换提供部分理论依据。Abstract: Based on the similarity theory and two-dimensional potential equation,the existence of similarity transformation in a cascade at different inlet Mach numbers has been considered.It has been shown that only for linearized two-dimensional flows there exists an exact similarity.In the case of full disturbance,only approximate similarity can be found.The uniqueness of similarity transformation in accordance with inlet Mach number has been also considered.The conclusion provides some theoretical basis for similarity transformation.
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