Abstract:
Stability of compressible three-dimensional boundary layers on a swept wing model is studied within the framework of the linear theory. The analysis based on the approximation of local self-similarity of the mean flow was performed within the Falkner–Skan–Cooke solution extended to compressible flows. The calculated characteristics of stability for a subsonic boundary layer are found to agree well with the measured results. In the case of a supersonic boundary layer, the results calculated for a Mach number $\mathrm{M}$ = 2 are also in good agreement with the measured spanwise scales of nonstationary vortices of the secondary flow. The calculated growth rates of disturbances, however, are substantially different from the measured values. This difference can be attributed to a high initial amplitude of disturbances generated in the experiment, which does not allow the linear stability theory to be applied. The evolution of natural disturbances with moderate amplitudes is fairly well predicted by the theory. The effect of compressibility on crossflow instability modes is demonstrated to be insignificant.
Citation:
S. A. Gaponov, B. V. Smorodskii, “Linear stability of three-dimensional boundary layers”, Prikl. Mekh. Tekh. Fiz., 49:2 (2008), 3–14; J. Appl. Mech. Tech. Phys., 49:2 (2008), 157–166
This publication is cited in the following 14 articles:
A. V. Boiko, N. V. Demidenko, “Using two-parameter velocity profiles for three-dimensional boundary layers”, J. Appl. Mech. Tech. Phys., 64:6 (2024), 1068–1077
Sergey A. Gaponov, Boris V. Smorodsky, Nathaly M. Terekhova, ACTUAL PROBLEMS OF CONTINUUM MECHANICS: EXPERIMENT, THEORY, AND APPLICATIONS, 2504, ACTUAL PROBLEMS OF CONTINUUM MECHANICS: EXPERIMENT, THEORY, AND APPLICATIONS, 2023, 030078
A. D. Kosinov, V. L. Kocharin, A. V. Liverko, A. N. Semenov, N. V. Semionov, B. V. Smorodsky, S. N. Tolkachev, A. A. Yatskikh, “Effect of Small Angles of Attack on Turbulence Generation in Supersonic Boundary Layers on Swept Wings”, Fluid Dyn, 58:3 (2023), 371
Zhiyong Liu, “Compressible Falkner–Skan–Cooke boundary layer on a flat plate”, Physics of Fluids, 33:12 (2021)
Aleksey Yatskikh, Yury Yermolaev, Alexander Kosinov, Nikolai Semionov, Alexander Semenov, “Evolution of localized artificial disturbance in 2D and 3D supersonic boundary layers”, Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 234:1 (2020), 115
Alexander Kosinov, Nikolai Semionov, Yury Yermolaev, Boris Smorodsky, Gleb Kolosov, Aleksey Yatskikh, Alexander Semenov, “The influence of moderate angle-of-attack variation on disturbances evolution and transition to turbulence in supersonic boundary layer on swept wing”, Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 234:1 (2020), 96
N. V. Semionov, Yu. G. Yermolaev, V. L. Kocharin, A. D. Kosinov, A. N. Semenov, B. V. Smorodsky, A. A. Yatskikh, AIP Conference Proceedings, 2027, 2018, 030156
Yury G. Yermolaev, Aleksey A. Yatskikh, Alexander D. Kosinov, Nickolay V. Semionov, AIP Conference Proceedings, 1893, 2017, 020007
N. V. Semionov, Yu. G. Yermolaev, A. D. Kosinov, A. N. Semenov, B. V. Smorodsky, A. A. Yatskikh, AIP Conference Proceedings, 1893, 2017, 030086
A. D. Kosinov, G. L. Kolosov, N. V. Semionov, Yu. G. Yermolaev, “Linear development of controlled disturbances in the supersonic boundary layer on a swept wing at Mach 2”, Physics of Fluids, 28:6 (2016)
Alexander Kosinov, Alexandra Panina, Gleb Kolosov, Nikolay Semionov, Yury Yermolaev, “Experiments on the Artificial Disturbance Evolution in 2D and 3D Spanwise Modulated Boundary Layers at Mach 2 and 2.5”, Procedia IUTAM, 14 (2015), 48
J.A. Redford, N.D. Sandham, G.T. Roberts, “Numerical simulations of turbulent spots in supersonic boundary layers: Effects of Mach number and wall temperature”, Progress in Aerospace Sciences, 52 (2012), 67
David Tempelmann, Ardeshir Hanifi, Dan S. Henningson, “Spatial optimal growth in three-dimensional compressible boundary layers”, J. Fluid Mech., 704 (2012), 251
Nickolay V Semionov, Alexander D Kosinov, Yury G Yermolaev, “Experimental Study of Turbulence Beginning of Supersonic Boundary Layer on Swept Wing at Mach Numbers 2 – 4”, J. Phys.: Conf. Ser., 318:3 (2011), 032018