The effect of imposed large-amplitude oscillations on turbulent drag is studied. The system consists of water flow through a straight 5.08-em pipe. The velocity gradient at the wall is measured with flush-mounted electrochemical mass-transfer probes. Newly developed numerical algorithms are used to analyze the probe performance in the presence of unsteady flows. Sinusoidal oscillations are at large enough frequencies, uf = 0.0138-0.0306, that a pseudo-steady-state approximation cannot be made. The ratio of the time-averaged velocity gradient at the wall, with and without oscillations, 3, varies between 1.00 and 1.03, provided flow reversal does not occur. However, two experiments in which reversed flows existed at the wall for an appreciable period of time show drag reductions of 7 and 13%. Imposed nonsinusoidal oscillations are also studied for a period of favorable pressure gradient, about twice longer than that of unfavorable, and two sudden changes in the pressure gradient. Experiments at Re=9,700 with To of 2.00, 2.45, and 3.46 s, and at Re=19,200 with T0=3.46 give values of s=1.04-1.08. A t Re= 19,200 and To =2.00, 1.50, 1.00s, drag reductions are I0-15%. Thisphenomenon could be associated with the speed with which a fro w adjusts to sudden changes in the pressure gradient.
introductionThe imposition of periodic oscillations on a turbulent fluid flowing through a duct causes periodic changes in the shear rate (or shear stress) at the wall, S . As shown by Hussain and Reynolds (1970), these changes can by characterized by defining S ( r ) as the sum of a phase-averaged and a fluctuating quantity,