Effects of Wall and Streamline Curvatures on Instability of 3-D Boundary Layers
Three-dimensional boundary layers may encounter three possible instabilities; that is, the Tollmien-Schlichting instability, the cross-flow instability and the instability due to curvature of external streamlines. To show competitive appearance of those in the boundary layer on a yawed circular cylinder, local velocity distributions of the boundary layer are approximated with the Falkner-Skan-Cooke velocity family and their stability is examined using a model system of disturbance equations, which include the terms denoting wall and streamline curvatures. Results show that the streamline-curvature instability gives the lowest values of critical Reynolds number near the leading edge.
Keywords3-D boundaiy layer Cross-flow instability Streamline curvature
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