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Hydrodynamic stability of compressible boundary layers is strongly influencedby Mach number ($M$), Prandtl number ($Pr$) and thermal wall boundarycondition. These effects manifest on the flow stability via theflow-thermodynamic interactions. Comprehensive understanding of stability flowphysics is of fundamental interest and important for developing predictivetools and closure models for integrated transition-to-turbulence computations.The flow-thermodynamic interactions are examined using linear analysis anddirect numerical simulations (DNS) in the following parameter regime: $0.5 \leqM \leq 8$; and, $0.5 \leq Pr \leq 1.3$. For adiabatic wall boundary condition,increasing Prandtl number has a destabilizing effect. In this work, wecharacterize the behavior of production, pressure-strain correlation andpressure-dilatation as functions of Mach and Prandtl numbers. First and secondinstability modes exhibit similar stability trends but the underlying flowphysics is shown to be diametrically opposite. The Prandtl-number influence oninstability is explicated in terms of the base flow profile with respect to thedifferent perturbation mode shapes.

Prandtl number effects on the hydrodynamic stability of compressible boundary layers: flow-thermodynamic interactions