SEPARATION IN A STOKES FLOW PAST A PLANE WITH A CYLINDRICAL RIDGE OR TROUGH

Autor: DAVIS, A. M. J., O'NEILL, M. E.
Zdroj: The Quarterly Journal of Mechanics and Applied Mathematics; November 1977, Vol. 30 Issue: 4 p355-355, 1p
Abstrakt: A two-dimensional stagnation point flow past a plane with a cylindrical ridge or trough is considered. It is shown that an infinite set of vortices exist in a finite region in the neighbourhood of the line of intersection between a ridge and a plane if the angle of intersection is less than about 146°, the extent of the eddy region increasing as the angle of intersection decreases. For ridges with larger angles of intersection, separation of the flow from the boundary does not occur. However with a depression or trough in the plane, separation of the flow occurs if the fluid region subtends angles greater than about 224·46° at the intersections of the trough and plane; in which case, there is a closed eddy region consisting of two vortices. When the subtended angles approach 360° and the trough becomes a half-space, the flow is symmetrical about the plane of the boundary and the stagnation point flow cannot penetrate acrcws the plane of symmetry.
Databáze: Supplemental Index