Three-wave interactions of disturbances in a hypersonic boundary layer on a porous surface
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Interactions of disturbances in a hypersonic boundary layer on a porous surface are considered within the framework of the weakly nonlinear stability theory. Acoustic and vortex waves in resonant three-wave systems are found to interact in the weak redistribution mode, which leads to weak decay of the acoustic component and weak amplification of the vortex component. Three-dimensional vortex waves are demonstrated to interact more intensively than two-dimensional waves. The feature responsible for attenuation of nonlinearity is the presence of a porous coating on the surface, which absorbs acoustic disturbances and amplifies vortex disturbances at high Mach numbers. Vanishing of the pumping wave, which corresponds to a plane acoustic wave on a solid surface, is found to assist in increasing the length of the regions of linear growth of disturbances and the laminar flow regime. In this case, the low-frequency spectrum of vortex modes can be filled owing to nonlinear processes that occur in vortex triplets.
Key wordshypersonic boundary layer three-wave resonance systems acoustic and vortex disturbances
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- 1.A. V. Boiko, G. R. Grek, A. V. Dovgal’, and V. V. Kozlov, Origination of Turbulence in Near-Wall Flows [in Russian], Nauka, Novosibirsk (1999).Google Scholar
- 3.D. A. Bountin, A. N. Shiplyuk, A. A. Maslov, and N. Chokani, “Nonlinear aspects of hypersonic boundary layer stability on a porous surface,” AIAA Paper No. 0258 (2004).Google Scholar
- 4.S. A. Gaponov and A. A. Maslov, Development of Disturbances in Compressible Flows [in Russian], Nauka, Novosibirsk (1980).Google Scholar
- 5.S. A. Gaponov, N. M. Terekhova, and B. V. Smorodskii, “Three-wave interaction of disturbances in a hypersonic boundary layer,” Vestn. Novosib. Gos. Univ., Ser. Fiz., 3, No. 3, 39–45 (2008).Google Scholar
- 6.S. A. Gaponov and I. I. Maslennikova, “Subharmonic instability of a supersonic boundary layer,” Teplofiz. Aéromekh., 4, No. 1, 1–10 (1997).Google Scholar
- 9.S. A. Gaponov, “Effect of properties of a porous coating on boundary-layer stability,” Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, No. 3, Issue 1, 21–23 (1971).Google Scholar