The influence of vortex motion on wall boundary layers
Abstract
The problem of how a wall boundary layer responds to the motion of a convected vortex in the inviscid mainstream flow was investigated on a theoretical basis. Because relatively little is known about such flows, a sequence of rather fundamental problems were considered. Numerical solutions were obtained for the temporal development of the boundary layer induced by the motion of rectilinear vortices and vortex rings. The nature of the boundary layer formed on a flat plate located beneath a convecting rectilinear vortex embedded in a uniform flow was investigated using a standard Crank-Nicholson scheme. The boundary layer induced on a flat plate by a circular vortex ring moving along its axis of symmetry towards the plate was examined. The numerical integrations reveal formation of a secondary vortex ring of opposite rotation and slightly larger radius than that of the parent, in good agreement with the results of flow visualization experiments. Again the boundary layer was expected to erupt from the wall into the inviscid flow. The nature of the motion of a three dimensional vortex loop over a flat plate, and the boundary layer created thereupon was also investigated.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1980
- Bibcode:
- 1980PhDT........58D
- Keywords:
-
- Boundary Layer Flow;
- Vortices;
- Wall Flow;
- Inviscid Flow;
- Numerical Analysis;
- Turbulent Boundary Layer;
- Fluid Mechanics and Heat Transfer