Abstract
A fresh dynamic analysis with the 1-D flow models is developed to make clear three main characteristic flow parameters, that is, the reversion point of the flow, radial position of the local maximum Reynolds shear stresses, and maximum reverse-flow position. Analytical relations for estimating the parameters and other relevant corollaries are derived. The validity of the theory is examined by a comparison of the model results with previous modeling work. It is found that the present analytical solutions are the general cases relative to previous ones. The extension and applications of the theory suggest that, the theory can reflect the main features of the buoyancy-driven two-phase flow in bubble columns within the restriction of the 1-D flow model and thereby has applicability and flexibility in modeling this type of flow.
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