论文标题
PrandTL数量对可压缩边界层流体动力稳定性的影响：流动性相互作用
Prandtl number effects on the hydrodynamic stability of compressible boundary layers: flow-thermodynamic interactions
论文作者
论文摘要
可压缩边界层的流体动力稳定性受马赫数（$ M $），prandtl数字（$ pr $）和热壁边界条件的强烈影响。这些影响通过流动性相互作用表现出流动稳定性。对稳定流体物理学的全面了解对于开发预测性工具和封闭模型的综合过渡到渗透计算具有重要意义，并且很重要。使用线性分析和直接数值仿真（DNS）在以下参数制度中检查流动性相互作用：$ 0.5 \ leq m \ leq 8 $;并且，$ 0.5 \ leq pr \ leq 1.3 $。对于绝热壁边界条件，增加的prandtl数量具有不稳定的效果。在这项工作中，我们将生产，压力 - 应变相关性和压力稀释的行为表征为马赫和prandtl数字的功能。第一和第二不稳定性模式表现出相似的稳定性趋势，但潜在的流动物理表现为截然相反。相对于不同的扰动模式形状，根据基本流量曲线来阐明对不稳定性的prandtl-number对不稳定性的影响。
Hydrodynamic stability of compressible boundary layers is strongly influenced by Mach number ($M$), Prandtl number ($Pr$) and thermal wall boundary condition. These effects manifest on the flow stability via the flow-thermodynamic interactions. Comprehensive understanding of stability flow physics is of fundamental interest and important for developing predictive tools and closure models for integrated transition-to-turbulence computations. The flow-thermodynamic interactions are examined using linear analysis and direct numerical simulations (DNS) in the following parameter regime: $0.5 \leq M \leq 8$; and, $0.5 \leq Pr \leq 1.3$. For adiabatic wall boundary condition, increasing Prandtl number has a destabilizing effect. In this work, we characterize the behavior of production, pressure-strain correlation and pressure-dilatation as functions of Mach and Prandtl numbers. First and second instability modes exhibit similar stability trends but the underlying flow physics is shown to be diametrically opposite. The Prandtl-number influence on instability is explicated in terms of the base flow profile with respect to the different perturbation mode shapes.
