arXiv 2005.078922020-05-16physics.flu-dyn

压缩斜坡流中shock wave构型的预测

Prediction of shock wave configurations in compression ramp flows

Yan-Chao Hu, Wen-Feng Zhou, Yan-Guang Yang, Zhi-Gong Tang, Zhao-Hu Qin

摘要：

在这里，我们提供了一个理论框架，揭示了一个稳定的压缩斜坡流必须有最小的动能耗散，并可以证明使用最小作用量原理。对于给定的来流马赫数$M_{0}$和斜板角$α$，可以基于该理论确定表示流动系统状态的分离角$θ_{s}$。因此，冲击波形态和再附着冲击波后的压力峰值$p_{peak}$的形状都是可预测的。这些理论预测与实验数据和数值模拟吻合良好，涵盖了广泛的$M_{0}$和$α$。此外，对于大分离，理论表明$θ_{s}$仅取决于$M_{0}$和$α$，而与雷诺数$Re$和壁温$T_{w}$无关。这些事实表明，所提出的理论框架可以适用于其他流动系统的冲击波为主，这是无处不在的航空航天工程。

英文摘要：

Here, we provide a theoretical framework revealing that a steady compression ramp flow must have the minimal dissipation of kinetic energy, and can be demonstrated using the least action principle. For a given inflow Mach number $M_{0}$ and ramp angle $α$, the separation angle $θ_{s}$ manifesting flow system states can be determined based on this theory. Thus, both the shapes of shock wave configurations and pressure peak $p_{peak}$ behind reattachment shock waves are predictable. These theoretical predictions agree excellently with both experimental data and numerical simulations, covering a wide range of $M_{0}$ and $α$. In addition, for a large separation, the theory indicates that $θ_{s}$ only depends on $M_{0}$ and $α$, but is independent of the Reynolds number $Re$ and wall temperature $T_{w}$. These facts suggest that the proposed theoretical framework can be applied to other flow systems dominated by shock waves, which are ubiquitous in aerospace engineering.

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摘要：

英文摘要：

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