Multi-phase plumes in uniform and stratified crossflow
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Laboratory experiments of multi-phase plumes in uniform and stratified crossflows are presented. In uniform crossflow, multi-phase plumes behave as mixed single-phase plumes up to a critical height, hS, where the entrained fluid separates from the dominant dispersed phase. From the experimental results, an empirical relationship for hS was calibrated giving u /(B/hS)1/3 = 6.3(us/(B/hS1/3)-24, where u is the crossflow velocity, B is the total kinematic buoyancy flux of the mixed plume, and us is the slip velocity. Above hS the separated continuous-phase plume behaves like a momentum jet and the bubble column follows the trajectory of the vector sum of us and u. In stratified crossflow, the trap height in quiescent water, hT, was compared to hS. For hT hS, the plumes are stratification-dominated and separation occurs at hT = (2.8 - 0.27us/(BN)1/4 (B/N3)1/4, where N is the Brunt-Vaisl buoyancy frequency. For hT hS, the plumes are crossflow-dominated, and separation occurs at hS. A simple single-phase model was modified to predict the fate of the separated plume above hS.