The Stability of Laminar Boundary Layer at Longitudinally Curved Walls with Respect to Transverse Perturbations.
Abstract
The investigation is based upon second order boundary layer theory along longitudinally and concave curved walls. It also covers boundary control with suction since both these cases are mathematically identical. The stability is proved with respect to perturbations which have the shape of longitudinal vortices with constant spacing. The neutral curve is calculated. The perturbations are introduced into the complete Navier-Stokes equations and then are linearized. Full account is also taken of the geometric influence of curvature. The asymptotic solution is derived analytically. Near the wall a numerical solution is derived by applying the Runge-Kutta method. Both solutions are fitted to derivatives which occur in the differential equations. Thus a complete fit of the two solutions is attained. The neutral curves are presented in a diagram for different curvature parameters for walls with leading edge and with the shape of the evolute of a circle.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 30, 1974
- Accession Number
- ADA006579
Entities
People
- Dj. Behbahani
- Fritz Schultz-grunow