Abstract

In this paper we obtain two groups of coupled transport equations for the interfacial area concentration (IAC), the void fraction and the density of bubbles starting from the Liouville equaton. Also we study the soulce and sink terms of these transport equations. These terms are produced by interactions between bubbles, by the impact of turbulent eddies, or by generation of new bubbles by nucleation. Special attention has been paid to the term that considers the rate of volume change of existing bubbles along their trajectories; this term takes into account the change in IAC produced by pressure changes.