Response of a hypersonic blunt cone boundary layer to slow acoustic waves with assessment of various routes of receptivity

doi:10.1007/s10483-018-2391-6

Abstract

Abstract: The hypersonic boundary-layer receptivity to slow acoustic waves is investigated for the Mach 6 flow over a 5-degree half-angle blunt cone with the nose radius of 5.08 mm. The plane acoustic wave interacts with the bow shock, and generates all types of disturbances behind the shock, which may take various routes to generate the boundarylayer unstable mode. In this paper, two routes of receptivity are investigated in detail. One is through the disturbance in the entropy layer. The other is through the slow acoustic wave transmitted downstream the bow shock, which can excite the boundary-layer mode due to the synchronization mechanism. The results show that, for a low frequency slow acoustic wave, the latter route plays a leading role. The entropy-layer instability wave is able to excite the first mode near the neutral point, but its receptivity efficiency is much lower.

Key words: Schaudcr’s fixed point theorem, boundary value problem, existence of solutions, hypersonic boundary layer, receptivity, entropy layer, blunt cone

2010 MSC Number:

76D10

Bingbing WAN, Jisheng LUO, Caihong SU. Response of a hypersonic blunt cone boundary layer to slow acoustic waves with assessment of various routes of receptivity. Applied Mathematics and Mechanics (English Edition), 2018, 39(11): 1643-1660.

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