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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Design of a Cascade of Profiles or a Radial Cascade of Profiles by the Solution of the Inverse Flow Problems
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Design of a Cascade of Profiles or a Radial Cascade of Profiles by the Solution of the Inverse Flow Problems

机译：通过求解逆流问题来设计级联或径向级联

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摘要

The paper deals with a design problem related to a cascade of profiles or a radial cascade of profiles for stator or rotor blades in turbines or compressors. We design a profile geometry which corresponds to the preassigned boundary conditions: input/output angles and the tangential component of the relative velocity along the profile surface. The solution is based on the well known method which first compares the potential along the unknown profile with a potential of a model flow around the unit circle and then constructs the corresponding conformal mapping. The problem is usually over determined and unsolvable, but if the preassigned velocity is submerged into a suitable broader class of such functions, the solution can be found there. The method, developed for plane potential incompressible flows, has been adapted also to compressible subsonic flows.
机译：本文涉及与涡轮或压缩机中的定子或转子叶片的轮廓级联或径向轮廓级联有关的设计问题。我们设计了一个轮廓几何，该几何对应于预先指定的边界条件：输入/输出角度和沿轮廓表面的相对速度的切向分量。该解决方案基于众所周知的方法，该方法首先将沿未知轮廓的电势与围绕单位圆的模型流的电势进行比较，然后构造相应的共形映射。这个问题通常是过分确定和无法解决的，但是如果将预先设定的速度浸入此类函数的合适的更广泛类中，则可以在那里找到解决方案。针对平面潜在不可压缩流而开发的方法也已适用于可压缩亚音速流。

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