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首页> 外文期刊>International Journal of Aerodynamics >Hydraulic analogy and visualisation of two-dimensional compressible fluid flows: part 1: theoretical aspects
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Hydraulic analogy and visualisation of two-dimensional compressible fluid flows: part 1: theoretical aspects

机译：二维可压缩流体流动的液压类比和可视化：第1部分：理论方面

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>The principles of the well-known, hydraulic analogy are explained (see Courant and Friedricks, 1948; Loh, 1969). The governing equations of two-dimensional compressible fluid two-dimensional flows in non-dimensional form, based on conservation laws are first discussed. Then, the isentropic flow condition is introduced to produce the isentropic Euler equations. On the other hand, the equations governing surface waves on thin water layers over a flat surface are derived in non-dimensional form, using the assumption of hydrostatic pressure across the water layer, hence the analogy between the two problems is established. The normalised density of the compressible flow corresponds to the normalised height of the thin water layer and the speed of sound corresponds to the speed of surface waves in water, hence, the Mach number corresponds to Froude number. Finally, it is shown that the analogy can be used to visualise supersonic and transonic two-dimensional flow patterns, including shock waves and expansion fans around airfoils and in convergent/divergent nozzles. Also, nonlinear water waves of finite amplitude, in dispersive media, are discussed. In part 2 of this study, water table experiments are presented together with qualitative and quantitative measurement techniques.
机译：[p>解释了众所周知的液压类比的原理（参见龙头和Friedricks，1948; Loh，1969）。首先讨论了基于保护法的非尺寸形式的二维可压缩流体二维流动的控制方程。然后，引入了等熵流动条件以产生等熵欧拉方程。另一方面，在平坦表面上的薄水层上的表面波的方程以非尺寸形式得出，使用水层静压压力的假设，因此建立了两个问题之间的类比。可压缩流的归一化密度对应于薄水层的归一化高度，并且声音速度对应于水中的表面波的速度，因此，马赫数对应于FRoude号码。最后，示出了比喻可用于可视化超音速和横向二维流动模式，包括翼型周围的冲击波和膨胀风扇以及收敛/发散喷嘴。而且，讨论了分散介质的有限幅度的非线性水波。在本研究的第2部分中，水表实验与定性和定量测量技术一起呈现。

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