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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2023 Volume 64, Issue 6, Pages 144–154 (Mi pmtf3209)

This article is cited in 2 papers

Using two-parameter velocity profiles for three-dimensional boundary layers

A. V. Boikoa, N. V. Demidenkoab

a Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

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.

Keywords: partial differential equations, boundary layer, laminar-turbulent transition, self-similar solutions, least squares technique, ANSYS Fluent, LOTRAN, swept wing, body of revolution.

UDC: 532.6

Received: 23.06.2023
Revised: 23.06.2023
Accepted: 26.06.2023

DOI: 10.15372/PMTF202315342


 English version:
Journal of Applied Mechanics and Technical Physics, 2024, 64:6, 1068–1077

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© Steklov Math. Inst. of RAS, 2026