STUDY OF GÖRTLER-TAYLOR VORTICES IN A BOUNDARY LAYER NEAR A CONCAVE SURFACE

Abstract

This article formulates and solves a boundary value problem describing the nonlinear phase of disturbance development in a compressible boundary layer in a centrifugal force field (Görtler-Taylor vortices) near a concave surface. Using the Navier-Stokes equations written in a curvilinear orthogonal coordinate system, a modified system of Euler equations for a three-dimensional disturbed flow is constructed. The problem is reduced to finding the eigenvalues ​​of a second-order differential equation, the solution of which is obtained using numerical methods. The paper presents transverse velocity profiles and establishes the dependence of the local Reynolds number on the vortex amplitude growth rate, which is important for studying the transition from laminar to turbulent flow in aircraft engineering and hydrodynamics.