Non-equilibrium effects in the growth of spherical gas bubbles due to solute diffusion—II: The combined effects of viscosity, liquid inertia, surface tension and surface kinetics

✍ Scribed by J. Szekely; S.-D. Fang

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 976 KB
• Volume: 28
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(73)85003-1

✦ Synopsis

A formulation and computed results are presented for the growth of stationary gas bubbles due to solute diffusion in super-saturated solutions. In the formulation account is taken of the role played by surface kinetics, liquid inertia, viscous forces and surface tension forces. Various asymptotic regimes are defined which would correspond to diffusion control (parabolic growth rate) inertia control (constant growth rate) and control by surface kinetics. Dimensionless groups are suggested which allow the quantitative definition of the validity of asymptotic solutions corresponding to these regimes.

While inertial effects predominate in the very early stages of growth, in the majority of systems inertial effects will be of practical importance at greatly reduced pressures only (vacuum distillation, vacuum degassing of molten metals). Viscous effects will be important for highly viscous fluids only, such as some polymers and molten glass. The numerical value of the rate coefficient for surface kinetics may vary over wide limits so that surface kinetics could be potentially important as a rate limiting factor over a wide range of conditions.