Generalized correlation for bubble motion

Abstract

The motion of a single gas bubble

Dynamics of a bubble rising in gravitational field

“…Amaya-Bower and Lee [11] use a Lattice Boltzmann Method. Terminal shape and Reynolds number depend on size of bubble, surface tension, viscosity, and density of surrounding fluid (in good agreement with results obtained by Rodrigue [12] through correlations). From a qualitative point of view this scheme does not allow direct comparisons with our model; on the other hand, the results reveal the role played by the density ratio, which is the main improvement of the present work, compared to those mentioned here that are based on the same modeling.…”

A General Correlation for the Rise Velocity of Single Gas Bubbles

“…The model is an extension to high Reynolds numbers of a model developed recently by the author (Rodrigue, 2001a). This new equation, which is explicit in velocity, is able to predict the velocity for any bubble volume in any Newtonian fl uid.…”

“…Table 1 gives the references for the additional data included in the present study. Data were corrected for wall effect as described in a previous work (Rodrigue, 2001a). In all, the data bank is composed of 2207 points covering a very wide range of physical and hydrodynamical properties, mainly the Morton number, which ranges between 3.62 × 10 -14 and 9.4 ×10 4 .…”

“…Le modèle est une extension aux nombres de Reynolds élevés d'un modèle récemment mis au point par l'auteur (Rodrigue, 2001a). Cette nouvelle équation, qui est explicite en vitesse, est capable de prédire la vitesse pour tout volume de bulle dans n'importe quel fl uide newtonien.…”

The dynamics of single air bubbles and alcohol drops in sunflower oil at various temperatures

“…Rodrigue 12 recommended a correlation for U T of various bubble sizes by assuming that the liquid is clean (i.e., has no impurities to generate Marangoni stresses) and the gas phase in a gas-liquid system has negligible density and viscosity compared with the liquid phase:…”