Mach number effects on free and wall turbulent structures in light of instability flow interactions

Our perception of fluid instabilities and turbulence is largely based on properties of incompressible vorticity distributions, omega, and the Biot-Savart Law of 'instantaneous' induction at distance. In high-speed shear layers it is the distribution of local angular momentum rho-omega that matters; modified interaction-induction between vortical elements is likely to take place only within relative Mach cones of influence, with acoustic time delay. This and the large mean density stratifications influence strongly instability vortex roll-ups, vortex mergings, and large-scale turbulent structures. Consequences of these observations on transition to turbulence and turbulence energetics are discussed in physical terms. Free shear layers and wall layers may require distinct M modeling.