A MATHEMATICAL-MODEL FOR TURBULENT BUBBLE PLUME

It is well accepted that axisymmetric turbulent air-bubble plume in wa ter can be described by any two of the three equations e.g. continuity equation, momentum equation and the kinetic energy equation. The appr oach in this paper, is based on the first two of these equations and t he assumption that the width of the plume grows exponentially with the vertical distance measured from the exit lavel. Taking proper account of the slip velocity between the liquid and the gaseous phases, the c entre-line velocities, the relative entrainment coefficient and the Fr oude number are computed numerically and discussed. The distribution o f the centre-line velocity obtained with this model is found to be in good agreement with the widely accepted data of the experiment on turb ulent air-bubble plume by H. E. Kobus (Proc. 11th Conf. Coastal Engine ering, London, 1968, vol. 2, p. 1016.)