Numerical and analytical study of turbulence of supersonic viscous gas flow
https://doi.org/10.18384/2949-5067-2024-1-68-82
Abstract
Aim. Building a nonlinear turbulence model of a supersonic viscous gas flow around a flat plate.
Methodology. Numerical modeling was applied within the framework of the Navier-Stokes equations without using turbulence models; the calculation results then used to build an analytical solution.
Results. Based on the data from direct numerical modeling of the Navier-Stokes equations, the mechanism of gas emission (burst) from the surface of a thermally insulated plate streamlined by a supersonic gas flow with M = 2 is explained. It is shown that the “viscous sublayer” becomes unstable, and forces appear on the streamlined surface, leading to the separation of bursts from the streamlined surface. The results obtained in the article confirm the experimental data: the fulfillment of the law of similarity of the burst formation frequency for supersonic gas flow. The results also confirm the realization of the resonant three-wave interaction of waves in the turbulent boundary layer, obtained in theoretical works.
Research implications. The results obtained in the article explain the mechanism of transition from laminar flow to turbulent flow at the nonlinear level, they complement and refine the theory of laminar -turbulent transition, previously studied within the framework of a weakly nonlinear approach.
Supporting agencies: The work was carried out within the framework of RFBR grant No. 20-01- 00184
About the Author
R. Ya. Tugazakov
Central Aerohydrodynamic Institute
Russian Federation
Russian Federation
Renat Ya. Tugazakov – Dr. Sci. (Phys.–Math.), Leading researcher
ulitsa Zhukovskogo 1, Zhukovsky 140180, Moscow Region
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