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Journal of Applied Mechanics and Technical Physics

2023 year, number 6

Using Two-Parameter Velocity Profiles for Three-Dimensional Boundary Layers

A. V. Boiko1, N. V. Demidenko1,2
1Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
2Novosibirsk State University, Novosibirsk, Russia
Keywords: partial differential equations, boundary layer, laminar-turbulent transition, self-similar solutions, least squares technique, ANSYS Fluent, LOTRAN, swept wing, body of revolution

Abstract

Approximations of the profiles of the longitudinal and transverse velocity components in the boundary layer calculated for the flows around a swept wing and a body of revolution by means of solving the full Navier-Stokes equations and using the boundary layer profiles from the self-similar one-parameter family of the Falkner-Skan-Cooke profiles and two-parameter family of profiles proposed by Gaster are compared. A significant advantage of using the approximation of the numerical profiles near three-dimensional separation by profiles from the two-parameter family is demonstrated.