Mathematical Model Of The Bubble Growth At Reduced Pressures

Sub-atmospheric refining (SAR) can be one of attractive alternatives to conventional refining process using toxic refining agents. Considering the proper design and operation of SAR system, it is necessary to evaluate bubble growth behaviour quantitatively. Although mathematical models on bubble growth behaviour have been proposed, highly accurate measurements of model parameters related to gas solubility and diffusion coefficient for practical glasses are very important. In this study, the simplified mathematical model of bubble growth under reduced pressure based on one component gas diffusion is proposed, in which its model parameters are determined by in-situ observation for bubble growth.