论文标题
在压缩坡道流中的冲击波配置的预测
Prediction of shock wave configurations in compression ramp flows
论文作者
论文摘要
在这里，我们提供了一个理论框架，揭示了稳定的压缩坡道流动必须具有最小的动能耗散，并且可以使用最小的动作原理来证明。对于给定的流入马赫数$ m_ {0} $和坡道角$α$，可以根据该理论确定分离角$θ_{s} $表现流量系统状态。因此，冲击波配置的形状和压力峰值$ p_ {peak} $背后是可预测的。这些理论预测与实验数据和数值模拟都非常吻合，涵盖了$ m_ {0} $和$α$的广泛范围。此外，对于大分离，该理论表明$θ_{s} $仅取决于$ m_ {0} $和$α$，但独立于雷诺数$ re $ re $和壁温度$ t_ {w} $。这些事实表明，所提出的理论框架可以应用于以冲击波为主的其他流动系统，这些流动在航空航天工程中无处不在。
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.
