Abstract
This paper touches upon the influence of the curvature of a gas trajectory at the initial section of a supersonic nonisobaric jet on the features of nonstationary perturbations from the Kelvin–Helmholtz instability class. It is shown that, in the presence of a barrel-shaped structure, stationary Taylor–Görtler perturbations in the form of longitudinal structures (banded elements) arise. Studies for a mixing layer with a Mach number M = 1.5 are carried out. The possibility of amplifying and suppressing the growth of Kelvin–Helmholtz perturbations by stationary Taylor–Görtler waves is considered. A nonlinear problem is solved within the framework of three-wave resonance interactions in a local-parallel approximation. A pumping wave is a stationary Taylor–Görtler wave. It is shown that, at the initial section, small-amplitude traveling waves can be both amplified and suppressed.
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REFERENCES
P. S. Klebanoff and K. D. Tidstrom, “Evolution of Amplified Waves Leading to Transition in a Boundary Layer with Zero Pressure Gradient," Tech. Note No. TN D-195 (NASA, 1959).
A. V. Boiko, G. R. Grek, A. V. Dovgal’, and V. V. Kozlov,Physical Mechanisms of Transition to Turbulence in Open Flows (Nauch.-Izd. Ts. “Regulyarnaya I Khaoticheskaya Dinamika,” Izhevsk–Moscow, 2006) [in Russian].
S. C. Crow, “The Spanwise Perturbation of Two-Dimensional Boundary Layers," J. Fluid Mech. 24, 153–164 (1966).
M. E. Goldstein, “Effect of Free-Stream Turbulence on Boundary Layer Transition," Philos. Trans. Roy. Soc. London, Ser. A. 372, 20130354 (2014).
S. A. Gaponov and N. M. Terekhova, “Interaction of Stationary Disturbances with Tollmien–Schlichting Waves in a Supersonic Boundary Layer," Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 3–10 (2020) [Fluid Dyn. 55 (4), 433–440 (2020)].
S. A. Gaponov and N. M. Terekhova, “Stationary Perturbations in a Supersonic Boundary Layer," Aeromekh. Gaz. Din., No. 4, 35–42 (2002).
A. D. D. Craik, “Non-linear Resonant Instability in Boundary Layers," J. Fluid Mech. 50, 393–413 (1971).
S. A. Gaponov and I. I. Maslennikova, “Subharmonic Instability of a Supersonic Boundary Layer," Teplofiz. Aeromekh. 4(1), 1–10 (1997).
S. A. Gaponov, I. I. Maslennikova, and V. Yu. Tyushin, “Nonlinear Effect of External Low-Frequency Acoustics on Eigen-Oscillations in a Supersonic Boundary Layer," Prikl. Mekh. Tekh. Fiz.40 (5), 99–105 (1999) [J. Appl. Mech. Tech. Phys.40 (5), 865–870 (1999)].
N. A. Zheltukhin, V. I. Zapryagaev, A. V. Solotchin, and N. M. Terekhova, “The Spectral Composition and the Structure of Stationary Vortex Perturbations of Taylor–Görtler Supersonic Nonisobaric Jet," Dokl. Ross. Akad. Nauk 325 (6), 1133–1137 (1992).
N. A. Zheltukhin and N. M. Terekhova, “Taylor–Görtler Instability in a Supersonic Jet," Prikl. Mekh. Tekh. Fiz. 34(5), 48–55 (1993) [J. Appl. Mech. Tech. Phys. 34 (5), 640–647 (1993)].
N. M. Terekhova, “Evolution of Longitudinal Vortices in a Supersonic Axisymmetric Jet," Teplofiz. Aeromekh. 8(3), 423–426 (2001).
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Terekhova, N.M. TRAVELING AND STATIONARY WAVES IN A SUPERSONIC JET AND THEIR INTERACTION IN LINEAR AND NONLINEAR APPROXIMATIONS. J Appl Mech Tech Phy 61, 740–747 (2020). https://doi.org/10.1134/S0021894420050077
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DOI: https://doi.org/10.1134/S0021894420050077