Numerical, Experimental and Theoretical Studies on Mechanism of K-H Instability and Ring Generation behind Supersonic MVG

摘要

This paper illustrates the dominant mechanism of the ring-like vortex formation which was found generated by micro vortex generated (MVG) for shock-boundary layer interaction control by our implicit large eddy simulation (ILES) with high order accuracy and our experiment. An averaged velocity profile after MVG is taken as the base flow. The disturbed viscous incompressible and inviscit compressible stability equations have been derived in a 3D coordinates, axially symmetric in particular. After we introduced the effect of simplified spanwise counter-rotating vortices, we theoretically conclude that the structure of vortex rings behind the MVG is a consequence of the momentum deficit according to the axisymmetic instability theorem.