Spatial natural oscillations of a boundary layer with a triple-deck velocity field structure
K. V. Guzaeva, V. I. Zhuk
Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
The beforehand unclear relation between the viscous-inviscid interaction and the instability of viscous gas flows is illustrated using three-dimensional boundary-layer perturbations in the case of sub- and supersonic outer flows. The assumptions are considered under which asymptotic boundary layer equations with self-induced pressure are derived and the excitation mechanisms of eigenmodes (i.e., Tollmien–Schlichting waves) are described. The resulting dispersion relations are analyzed. The boundary layer in a supersonic flow is found to be stable with respect to two-dimensional perturbations, whereas, in the three-dimensional case, the modes become unstable. The increment of growth is investigated as a function of the Mach number and the orientation of the front of a three-dimensional Tollmien–Schlichting wave.
boundary layer theory, viscous-inviscid interaction, asymptotic expansions, stability, neutral curves, Tollmien-Schlichting waves, dispersion relation, increment of growth, Airy function.
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Computational Mathematics and Mathematical Physics, 2010, 50:2, 285–305
K. V. Guzaeva, V. I. Zhuk, “Spatial natural oscillations of a boundary layer with a triple-deck velocity field structure”, Zh. Vychisl. Mat. Mat. Fiz., 50:2 (2010), 298–319; Comput. Math. Math. Phys., 50:2 (2010), 285–305
Citation in format AMSBIB
\by K.~V.~Guzaeva, V.~I.~Zhuk
\paper Spatial natural oscillations of a boundary layer with a triple-deck velocity field structure
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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