Abstract

This paper is concerned with the behavior of buoyant plumes driven by rising gas bubbles through a moderately stratified liquid environment. A two-phase mathematical model is proposed for calculating the induced turbulent vertical liquid flow and its temperature. Simultaneous numerical solutions of the continuity, momentum, and energy equations are obtained for the two cases of an axisymmetric and a two-dimensional air jet submerged in water. Water pumping rates, liquid velocities, plume radii (widths), and temperatures are obtained as a function of air flow rates, depth of submergence, and the assumed temperature profile of the water in the region far away from the jet. Effects of temperature stratification in the liquid region far away from the jet resulted in increased liquid flow rates as well as increased plume cross-section areas. Comparisons are made with the experimental information available in the literature.

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