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Analogy between Laval Nozzle and One-Dimensional Compressible Flow under Centrifugal Force

机译:拉瓦尔喷嘴与离心力作用下的一维可压缩流的类比

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A supersonic flow is achieved by a convergent-divergent Laval nozzle. A subsonic-supersonic transition is also possible in a one-dimensional isentropic flow through a uniform rotating pipe of constant cross-sectional area with a bend by the centrifugal effect. A uniform pipe with a bend lies in a meridional plane and rotates around an axis and the centrifugal force on the pipe flow has the same effect as that of an area change in a Laval nozzle. The governing equations similar to those of a Laval nozzle are derived for the one-dimensional isentropic flow in a rotating uniform pipe with a bend of constant cross sectional area, and the shock relations are also obtained.
机译:超音速流动是通过收敛-发散的拉瓦尔喷嘴实现的。在一维等熵流中,通过具有离心作用的弯曲的,具有恒定横截面的均匀旋转管道也可能发生亚音速-超音速过渡。具有弯曲的均匀管道位于子午平面中,并且绕轴旋转,并且管道流动上的离心力具有与拉瓦尔喷嘴中的面积变化相同的作用。对于具有恒定横截面积的弯曲的旋转均匀管中的一维等熵流,推导了与拉瓦尔喷嘴相似的控制方程,并且还获得了冲击关系。

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