Goertler vortices in supersonic and hypersonic boundary layers
Goertler vortices in supersonic and hypersonic boundary layers
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DOI：
10.1063/1.857508
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发表时间：
1989-11
影响因子：
4.6
通讯作者：
R. Spall;M. Malik
中科院分区：
文献类型：
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作者：
R. Spall;M. Malik
考虑了凹壁上可压缩边界层中的戈特勒涡问题。在 O(1) 波长处，不稳定性由抛物型偏微分方程控制，通过数值求解以确定各种初始条件对可压缩边界层中戈特勒涡不稳定性发展的影响。结果表明，速度和温度波动都可能导致戈特勒涡。发现由本方法确定的涡流增长率与正常模式解决方案给出的涡流增长率有些不同。在超音速和高超音速马赫数下，冷却都会产生轻微的不稳定效应。此外，由于边界层变薄，最不稳定的扰动会向较低波长移动。我们的结果还表明，可压缩性对戈特勒不稳定性具有稳定作用，而逆压梯度的影响则被发现是不稳定的。戈特勒涡旋结构的行为...
The problem of Goertler vortices in compressible boundary layers over concave walls is considered. At O(1) wavelengths, the instability is governed by parabolic partial differential equations that are solved numerically to determine the effect of various initial conditions on the development of Goertler vortex instability in compressible boundary layers. The results show that both the velocity and temperature fluctuations may lead to a Goertler vortex. The vortex growth rates determined from the present method are found to differ somewhat from those given by a normal mode solution. At both the supersonic and hypersonic Mach numbers, cooling has a small destabilizing effect. In addition, the most unstable disturbances shift toward lower wavelengths because of thinning of the boundary layer. Our results also show that compressibility has a stabilizing effect on the Goertler instability, while the effect of an adverse pressure gradient is found to be destabilizing. The behavior of the Goertler vortex structu...