Analysis of dissolution of a spherical gas bubble in a glass melt in the presence of a flow and a fast redox reaction

Abstract

Modeling a process of dissoludon of a slowly moving gas bubble in a glass melt can be reformulated as a problem of dissoludon of a stadonary bubble in a flow. It is shown that in the presence of fast redox reaction (outside the bubble) the effect of the flow on the time of dissolution is negligible. Many authors omit the flow when modeling dissolution of bubbles in glass melts. This analysis specifies the conditions under which such omission can be justified. Due to the presence of fast reaction the problem is singularly perturbed. The boundary function method was used to obtain asymptotic approximation of the solution. Asymptotic results are compared with numerical computations performed for the original statement of the problem.