高マッハ数における縦渦の線形不安定性と非線形発達(安定性(1),一般講演)

概要

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The spatially development of a high Mach number streamwise vortex is investigated using the inviscid linear stability analysis and direct numerical simulations, for Mach numbers 2.5 to 7.5. As the streamwise vortex, the isentropic and uniform stagnation temperature vortices are considered. It is found that for uniform stagnation temperature vortices in a high Mach number, unstable modes of high wave numbers in the vortex are not appeared, differently from a low speed flow, and the spiral structures due to a low wave number mode only develop in downstream. In contrast, it is shown that the instability properties of isentropic streamwise vortices for high Mach numbers provide a parallel to that of a low speed flow. Additionally, the relation between the upper limit of the circulation and the Mach number is derived from the results.
2010-09-09