THE FLOW OF A VISCOUS FLUID PAST A WALL OF INFINITE EXTENT WITH TIME-DEPENDENT SUCTION

Abstract

Viscous flow past a wall of infinite extent is considered when a time-dependent suction is applied at the wall. The suction induces an unsteady flow parallel to the wall and, in the case of a periodic variation, changes the shape of the mean profile. When the free-stream velocity has a periodic component with the same frequency as the suction, a mild resonance occurs, and the mean value of the wall shear stress is altered. For slowly varying, but otherwise arbitrary, suction and free-stream velocities, a solution is obtained in terms of the derivatives of the suction and free-stream velocities.