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Journal of Applied Mechanics and Technical Physics

2026 year, number 2

NUMERICAL STUDY OF THE EFFECT OF SLOT ORIENTATION ANGLE ON THE STABILITY OF A SUPERSONIC BOUNDARY LAYER ON A FLAT PLATE

A.A. Yatskikh, V.I. Lysenko, B.V. Smorodskii, L.V. Afanas’ev
Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences (ITAM SB RAS), Novosibirsk, Russia
Keywords: laminar-turbulent transition, supersonic boundary layer, microtexturing, linear stability theory, numerical simulation

Abstract

Results of a numerical simulation and flow stability analysis of the boundary layer on a flat plate with surface microrelief in the form of long slots (grooves) oriented at different angles relative to the freestream flow at Mach number M = 2 are presented. Slots with a depth-based Reynolds number Reh ≈ 1000 and a width small compared to the instability wavelength are considered. Using numerical simulation, the flow characteristics around the plate with inclined slots are determined, and the development of time-localized disturbances is studied. A flow stability analysis is performed within the framework of linear stability theory using averaged boundary-layer profiles. The computational results show that the presence of inclined slots leads to the emergence of crossflow in the boundary layer, which causes an increase in disturbance growth rates. The obtained data are in good agreement with experimental observations and explain the boundary-layer destabilization effect caused by inclined slots.