Experimental assessment of scale effects affecting two-phase flow properties in hydraulic jumps

Abstract

A hydraulic jump is the rapid transition from a supercritical to subcritical free-surface flow. It is charac- terised by strong turbulence and air bubble entrainment. New air-water flow properties were measured in hydraulic jumps with partially developed inflow conditions. The data set together with the earlier data of Chanson (Air bubble entrainment in hydraulic jumps. Similitude and scale effects, 119 p, 2006) yielded similar experiments con- ducted with identical inflow Froude numbers Fr1 = 5 and 8.5, but Reynolds numbers between 24,000 and 98,000. The comparative results showed some drastic scale effects in the smaller hydraulic jumps in terms of void fraction, bubble count rate and bubble chord time distributions. The present comparative analysis demonstrated quantitatively that dynamic similarity of two-phase flows in hydraulic jumps cannot be achieved with a Froude similitude. In experimental facilities with Reynolds numbers up to 10 5 , some viscous scale effects were observed in terms of the rate of entrained air and air-water interfacial area.