Numerical Simulation of the Localized Perturbations Development in the Supersonic Boundary Layer
https://doi.org/10.25205/2541-9447-2025-20-1-9-19
Abstract
The development of localized perturbations in the supersonic boundary layer for Mach number M = 2 is numerically investigated. It is found that the leading edge velocity is greater than the trailing edge velocity, which is in agreement with the experimental data. In the leading front oscillations occur as the wave packet moves downstream and their amplitude increases in time. To compare the numerical simulation results with classical stability theory, the wave packet was decomposed into a spectrum on frequencies and wave numbers. The maximum contribution to the total perturbation belongs to waves with angles of inclination of the wave front to the plate leading edge equal to about 60 degrees. Their spatial amplification rate agree well with the data of the stability theory of locally nonparallel flows. The agreement deteriorates at smaller inclination angles due to their smallness relative to the contribution of waves with angles of 60 degrees and the nonlinear interaction with waves of different frequencies, and inclinations.
Keywords
supersonic flow,
boundary layer,
hydrodynamic stability,
laminar-turbulent transition,
localized perturbations
Supporting agencies: The work was perform within the framework of the state assigned task of ITPM SB RAS.
About the Authors
S. A. Gaponov
Khristianovich Institute of Theoretical and Applied Mechanics SB RAS
Russian Federation
Russian Federation
Sergey A. Gaponov - Doctor of Physical and Mathematical Science
Novosibirsk
A. N. Semenov
Khristianovich Institute of Theoretical and Applied Mechanics SB RAS
Russian Federation
Russian Federation
Alexander N. Semenov - Candidate of Physical and Mathematical Science
Novosibirsk
A. A. Yatskikh
Khristianovich Institute of Theoretical and Applied Mechanics SB RAS
Russian Federation
Russian Federation
Alexey A. Yatskikh - Candidate of Physical and Mathematical Science
Novosibirsk
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Review
For citations:
Gaponov S.A., Semenov A.N., Yatskikh A.A. Numerical Simulation of the Localized Perturbations Development in the Supersonic Boundary Layer. SIBERIAN JOURNAL OF PHYSICS. 2025;20(1):9-19. (In Russ.) https://doi.org/10.25205/2541-9447-2025-20-1-9-19
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