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首页> 外文期刊>Fluid Dynamics >Contouring the Nozzles Producing a Uniform Supersonic Flow or a Thrust Maximum in the Presence of a Curvilinear Sonic Line
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Contouring the Nozzles Producing a Uniform Supersonic Flow or a Thrust Maximum in the Presence of a Curvilinear Sonic Line

机译：轮廓弯曲的喷嘴在曲线声波线的作用下产生均匀的超音速流动或推力最大值

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摘要

Within the framework of the ideal, i.e., inviscid and non-heat conducting, gas model we consider the problem of designing the supersonic section of a two-dimensional or axisymmetric nozzle realizing a uniform supersonic flow limitingly similar with a sonic flow when the choked flow involves a curvilinear sonic line. Emphasis is placed on nozzles with abruptly or steeply converging subsonic sections and a strongly curved sonic line formed by the C~--characteristics of the expansion fan with the focus at the lower bend point of the vertical section of the subsonic contour. In the two-dimensional case, the least possible greater-than-unity Mach number M_(em) at the nozzle exit corresponds to the flow in which the first intersection of the C~+-characteristics originated at the closing C~--characteristic of the expansion fan falls on the unknown contour of its supersonic part. For a uniform flow with M_e < M_(em) the intersection of C~+-characteristics beneath the unknown contour make impossible its construction. A part of the contour realizing a uniform flow with M_(em) > 1 ensures a limitingly rapid flow acceleration and forms the initial region of the supersonic generator of a maximum-thrust nozzle. For this reason, in the case of a curvilinear sonic line the supersonic generators of these nozzles have two, rather than one, bends, which, however, is interesting only for the theory. At least, in the calculated examples the thrusts of the nozzles with one and two bends differ only by a hundredth or even thousandth fractions of per cent.
机译：在理想的，即无粘性且非导热的气体模型的框架内，我们考虑设计二维或轴对称喷嘴的超音速部分的问题，该二维或轴对称喷嘴实现了均匀的超音速流，该流在flow流时有限地类似于声波流涉及曲线声波线。重点放在具有突然或陡峭收敛的亚音速部分以及由膨胀风扇的C〜特性所形成的强烈弯曲的声线的喷嘴上，焦点集中在亚音速轮廓的垂直部分的下弯曲点。在二维情况下，喷嘴出口处最小的大于一的马赫数M_（em）对应于其中C〜+特征的第一个交点起源于闭合C〜-特征的流膨胀风扇的一部分落在其超声速部分的未知轮廓上。对于M_e 1的均匀流动，从而确保了有限的快速流加速，并形成了最大推力喷嘴的超声波发生器的初始区域。因此，在曲线声线的情况下，这些喷嘴的超音速发生器具有两个而不是一个弯曲，但是，这仅对理论有意义。至少在所计算的示例中，具有一个和两个弯曲的喷嘴的推力仅相差百分之一或什至千分之一。

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