Stability of the laminar boundary layer in a streamwise corner
Abstract
The stability of viscous, incompressible flow along a streamwise corner, often called the corner boundary layer problem is examined. The semi-infinite boundary value problem satisfied by small amplitude disturbances in the 'bending boundary layer' region is obtained. The mean secondary flow induced by the corner exhibits a flow reversal in this region. Uniformly valid 'first approximations' to solutions of the governing differential equations are derived. Uniformity at infinity is achieved by a suitable choice of the large parameter and use of an approximate Langer variable. Approximations to solutions of balanced type have a phase shift across the critical layer which is associated with instabilities in the case of two dimensional boundary layer profiles. Previously announced in STAR as N84-17532
- Publication:
-
Proceedings of the Royal Society of London Series A
- Pub Date:
- May 1984
- DOI:
- 10.1098/rspa.1984.0048
- Bibcode:
- 1984RSPSA.393..101L
- Keywords:
-
- Boundary Layer Stability;
- Corner Flow;
- Incompressible Flow;
- Laminar Boundary Layer;
- Viscous Flow;
- Boundary Value Problems;
- Differential Equations;
- Secondary Flow;
- Stream Functions (Fluids);
- Fluid Mechanics and Heat Transfer