Abstract

The process of nonlinear development of a local transverse disturbance on a concave surface is analyzed and the mechanism of formation of the resulting periodic structure is examined. Attention is concentrated on a qualitative analysis of the flow. Equations describing the development of a transverse disturbance in a laminar boundary layer are obtained on the basis of the asymptotic behavior of the Navier-Stokes equations as Re → ∞. A solution describing the Taylor vortices formed between two coaxial cylinders when the inner cylinder rotates is obtained. The experimental data on Gortler vortices in boundary layers are analyzed.

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