A model for the growth of an ideal and a non-ideal spherical gas bubble in a quiescent viscous liquid is presented. The growth of the bubble is assumed to be controlled by both mass transfer and viscous forces. Using the integral method, the differential momentum and binary mass balances were transformed into ordinary differential equations, which were numerically solved. Some analytical solutions for simple cases are also presented. The relevance of this work to the process of polymer melt devolatilization is discussed.
A model for the dynamics of spherical bubble growth in a quiescent viscous liquid is presented. The gas inside the bubble is a van der Waals fluid, and the viscous liquid outside the bubble is a Flory–Hugins solvent–polymer solution. The growth of the bubble in the viscous liquid is assumed to be controlled by momentum, heat and mass transfer. Using the integral method, the transport equations were transformed into ordinary differential equations, which were numerically solved. An analytical criterion of when it is justified to make the usual isothermal assumption is also derived. The relevance of this work to the processes of polymer melt devolatilization and the production of foamed plastics is discussed.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.