Instability of Flow in a Streamwise Corner
INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
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The linear stability of an incompressible laminar flow in the blending boundary layer between the boundary layer in a 900 streamwise corner and a Blasius boundary layer well away from the corner is examined using a locally parallel flow approximation. It is shown that the influence of the outer boundary conditions associate with oblique modes of disturbances which are anti- symmetric about the bisector plane have a profound effect on the stability of the flow. As a result, in good agreement with observation, the critical streamwise Reynolds number, associated with a spanwise location is significantly reduced as the corner is approached, being R sub cr 60 approximately for spanwise distance of Z 6xR from the corner compared with R sub cr 322 approximately for Z 20xR solid star R-1, where X measures downstream distance from the leading edges. At R600, the growth rate of the most amplified mod of disturbance at the former location is over six times greater than that at the latter the corresponding wave angle at the two locations is respectively 44 deg and 5 deg, approximately.... Corner flow, Stability.
- Fluid Mechanics