论文标题

在典型的超音速入口流量流中的不稳定节流动力学和缩放分析上

On the unsteady throttling dynamics and scaling analysis in a typical hypersonic inlet-isolator flow

论文作者

Sekar, K. Raja, Karthick, S. K., Jegadheeswaran, S., Kannan, R.

论文摘要

在数值上解决了二维三维三杆高压混合压缩入口的流场,以$ m_ \ infty = 5 $的自由度马赫数为单位,以了解不稳定的节流动力学。通过以插件的形式改变隔离器的出口区域来模拟节流条件。考虑了$ 0 \ leqζ\ leq 0.7 $在0.1中的不同节流比。没有观察到$ζ\ leq 0.2 $的不稳定,并且以$ 0.3 \leqζ\ leq 0.7 $的价格发现严重的不稳定。不稳定的频率($ f $)随着$ζ$而迅速增加。随着$ζ$的增加,隔离器尺度内的反向质量和出口质量流量的量。试图根据数值研究收集的知识来扩展不稳定事件的一般框架。入口隔离器流被建模为通过风管的振荡流,其上游设计条件(例如自由式马赫数($ M_ \ infty $))和隔离器入口马赫数($ m_i $)。诸如管道体积所占据的质量,特征不稳定的频率,节流比和通过管道的出口质量流量的因素用于形成非二维参数$β$,该参数$β$以上游设计参数$ $ξ= m_i/m_ \ infty $。进一步利用缩放参数,以使用开放文献的不同节流比以不同的节流比的现有实验结果来提出半经验关系。目前的二维数值练习中的不稳定频率也证明与所提出的缩放尺度和所得的半经验关系一致。

The flow field in a two-dimensional three-ramp hypersonic mixed-compression inlet in a freestream Mach number of $M_\infty=5$ is numerically solved to understand the unsteady throttling dynamics. Throttling conditions are simulated by varying the exit area of the isolator in the form of plug insets. Different throttling ratios between $0\leq ζ\leq 0.7$ in steps of 0.1 are considered. No unsteadiness is observed for $ζ\leq 0.2$ and severe unsteadiness is found for $0.3 \leq ζ\leq 0.7$. The frequency of unsteadiness ($f$) increases rapidly with $ζ$. As $ζ$ increases, the amount of reversed mass inside the isolator scales with the frequency and the exit mass flow rate. A general framework is attempted to scale the unsteady events based on the gathered knowledge from the numerical study. The inlet-isolator flow is modeled as an oscillating flow through a duct with known upstream design conditions like the freestream Mach number ($M_\infty$) and the isolator inlet Mach number ($M_i$). Factors like the mass occupied by the duct volume, the characteristic unsteady frequency, throttling ratio, and the exit mass flow rate through the duct are used to form a non-dimensional parameter $β$, which scales with the upstream design parameter $ξ=M_i/M_\infty$. The scaling parameters are further exploited to formulate a semi-empirical relation using the existing experimental results at different throttling ratios from the open literature. The unsteady frequencies from the present two-dimensional numerical exercise are also shown to agree with the proposed scaling and the resulting semi-empirical relation.

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