“…Recent numerical simulations have denied such localized turbulence at Ž . low ReNagasaki et al, 2002;Miyara, 2000 . Comparison of the present Sh data with the solution by Ž .Tamir and Taitel 1971 shows that surface waves rapidly increase the mass-transfer coefficient, k , with Re up to 2.6 L times the solution at Res 40, associated with large differences in the slope, and then gently increase k with a small L slope to 2.2 times the solution at Res 400. Emmert and Pig-…”