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Rapid design method and new contours for a class of three dimensional supersonic nozzle of arbitrary exit cross section

机译：一类三维超声波喷嘴的快速设计方法和新轮廓

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摘要

The aim of this work is to develop a new and rapid numerical method for designing a new contour of the supersonic nozzle with arbitrary exit cross sections as a class of three dimensional nozzle extracted from the calculation of stationary flow solutions in axisymmetric nozzle. The application is made for nozzle giving a uniform and parallel flow at the exit section. The determination of the points of the axisymmetric nozzle contours in a non-dimensional manner with respect to the arbitrary throat radius is necessary. The exit section of the nozzle must be discretized at several points. The radii of the points of the throat section are determined by equalizing the ratio of the axisymmetric critical sections corresponding to each selected point of the exit section. Each point passes a contour of the nozzle to the throat where their position is determined by the multiplication of the non-dimensional positions of the axisymmetric nozzle point by the throat radius of this contour. A uniform portion is added at the end of each contour to compensate the decrease in its length. Longitudinal discretization of the nozzle is necessary. The flow properties of each point are the same as those of the points of the axisymmetric nozzle. The temperature and the deviation of the flow at each point of any section are determined by their interpolations between two successive points of each contour. The Mach number, the pressure and the density are determined accordingly. The application is made for air at high temperature lower than the dissociation threshold of the molecules.
机译：这项工作的目的是开发一种新的和快速数值方法，用于设计具有任意出口横截面的超音速喷嘴的新轮廓，作为一类从轴对称喷嘴计算的静止流溶液的计算中提取的三维喷嘴。该应用是用于喷嘴，在出口部分提供均匀和平行的流动。需要在非尺寸方式相对于任意喉部半径确定轴对称喷嘴轮廓的点。喷嘴的出口部分必须在几个点处离散化。通过均衡与出口部分的每个选定点对应的轴对称关键部分的比率来确定喉部点的半径。每个点将喷嘴的轮廓传递到喉部，其中通过该轮廓的喉部半径的轴对称喷嘴点的非尺寸位置的乘法来确定它们的位置。在每个轮廓的末端添加均匀部分以补偿其长度的减小。喷嘴的纵向离散化是必要的。每个点的流动性质与轴对称喷嘴的点相同。任何部分的每个点处的流动的温度和偏差由它们的间隔在每个轮廓的两个连续点之间确定。 Mach数，压力和密度相应地确定。该应用在高于分子的解离阈值下的高温下进行空气。

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