Shock–planar curtain interactions: Strong secondary baroclinic deposition and emergence of vortex projectiles and late-time inhomogeneous turbulence

Abstract

We continue our previous investigations (Yang, Zabusky, & Chern, 1990; Zabusky & Zhang, 2002) of the interaction of a shock with a planar, inclined curtain (slow/fast/slow) to a wider Mach number range (M = 1.5, 2.0, and 5.0) and longer times. In all cases, the generic features may be explained in terms of the opposite-signed vortex layers (deposited by the shock wave), which approach and collide to form a complex vortex bilayer (VBL). At M ≤ 2.0, the VBL traverses the shock tube and eventually collides with the opposite horizontal boundary and evolves into upstream and downstream moving inhomogeneous vortex projectiles (VPs) (Zabusky & Zeng, 1998). This is manifested as early-time “breakthrough” (Yang, Zabusky, & Chern, 1990). During the traversal, we observe and scale a strong secondary baroclinic circulation enhancement. We track and quantify the VPs and show that their velocities compare well to that from a simple vortex model. We also display turbulent domains and a new rapid early time turbulization at M = 5, when the VBL is narrower.