Viscous interaction between the boundary layers of a plane surface and a protruding vertical plate
Abstract
The threedimensional laminar incompressible flow near the corner formed by a vertical plate protruding at a distance L behind the leading edge of a horizontal plate is studied both analytically and numerically. It is treated as a singular perturbation problem. A systematic matching procedure is developed and applied to determine the flow in the different regions. A solution is found for the first and second order potential flow, and for the first and second order boundary layers. Due to flow separation on the horizontal boundary layer and the parabolic nature of the boundary layer equations, the calculation of the cross flow velocity right to the vertical wall becomes extremely difficult. However, a local examination of the fluid motion near the wall intersection shows the formation of a vortical structure characterized by Moffatt's eddies.
 Publication:

AIAA, 18th Fluid Dynamics and Plasmadynamics and Lasers Conference
 Pub Date:
 July 1985
 Bibcode:
 1985fdpd.confS....A
 Keywords:

 Boundary Layer Flow;
 Corner Flow;
 Incompressible Flow;
 Laminar Boundary Layer;
 Three Dimensional Flow;
 Viscous Flow;
 Boundary Layer Equations;
 Cross Flow;
 Flow Geometry;
 Flow Velocity;
 Plates;
 Potential Flow;
 Fluid Mechanics and Heat Transfer