Compressible mixtures in supersonic flows are subject to significant temperature changes via shock waves and expansions, which affect several properties of the flow. Besides the widely studied variable transport effects such as temperature-dependent viscosity and conductivity, vibrational and rotational molecular energy storage is also modified through the variation of the heat capacity $$c_p$$ c p and heat capacity ratio $$\gamma $$ γ , especially in hypersonic flows. Changes in the composition of the mixture may also modify its value through the species mass fraction $$Y_\alpha $$ Y α , thereby affecting the compression capacity of the flow. Canonical configurations are studied here to explore their sharply conditioned mechanical equilibrium under variations of these thermal models. In particular, effects of $$c_p(T,Y_\alpha )$$ c p ( T , Y α ) and $$\gamma (T,Y_\alpha )$$ γ ( T , Y α ) on the stability of shock-impinged supersonic shear and mixing layers are addressed, on condition that a shock wave is refracted. It is found that the limits defining regular structures are affected (usually broadened out) by the dependence of heat capacities with temperature. Theoretical and high-fidelity numerical simulations exhibit a good agreement in the prediction of regular shock reflections and their post-shock aerothermal properties.

中文翻译：

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二维冲击折射中的比热效应

超音速流动中的可压缩混合物会因冲击波和膨胀而受到显着的温度变化，这会影响流动的多种特性。除了广泛研究的可变输运效应，如温度相关的粘度和电导率，振动和​​旋转分子能量储存也通过热容 $$c_p$$ cp 和热容比 $$\gamma $$ γ 的变化而改变，尤其是在高超声速流动中。混合物成分的变化也可能通过物质质量分数 $$Y_\alpha $$Y α 修改其值，从而影响流动的压缩能力。这里研究了规范配置，以探索它们在这些热模型变化下的严格调节的机械平衡。特别是 $$c_p(T,Y_\alpha )$$ cp ( T , Y α ) 和 $$\gamma (T,Y_\alpha )$$ γ ( T , Y α ) 在冲击波被折射的条件下讨论了冲击冲击超音速剪切和混合层的稳定性。发现定义规则结构的限制受热容与温度的依赖性的影响（通常被加宽）。理论和高保真数值模拟在常规冲击反射及其后冲击气热特性的预测方面表现出良好的一致性。