THE VORTICITY DISTRIBUTION OF THE SHEAR-FLOW OVER A 3-DIMENSIONAL OBSTACLE ON A WALL

The vorticity distribution of the two-dimensional shear flow over a small three-dimensional obstacle on a wall is investigated analytically for an inviscid incompressi-ble fluid. The field quantities are expanded into power series of a small parameter, the non-dimensional height of the obstacle, and the approximation is considered up to the second order. In the first approximation,the vorticity distribution is obtained to show the existence of the vortex lines bounded in the obstacle. In the second approximation, the vorticity component along the main flow is calculated for far down stream, and the distortion of the vortex lines in the main flow is considered. © 1990, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.