High-Reynolds shallow flow over an inclined sinusoidal bottom

Abstract

An experimental study of a turbulent free-surface shallow flow over an inclined sinusoidal bottom with a fixed corrugation amplitude is presented. A parametric analysis is performed by varying both the inclination angle and the Reynolds number. We show that a “Pulse-Waves” regime, dominant for Reynolds smaller than 4 000, coexists with a “Roll-Waves” regime, which becomes dominant above this value. The relative energy of the waves is quantified in the parameter space. At Reynolds numbers larger than 8 000, these wave instabilities disappear.