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Dissolution of Rising Helium Bubbles in a Soda‐Lime‐Silica Glassmelt
Author(s) -
Kondos Pericles A.,
Subramanian R. Shankar,
Cole Robert,
Weinberg Michael C.
Publication year - 1996
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1996.tb08011.x
Subject(s) - bubble , dissolution , helium , mechanics , range (aeronautics) , thermodynamics , materials science , lime , volume fraction , mineralogy , chemistry , metallurgy , physics , composite material , organic chemistry
The dissolution of helium bubbles that rise inside a soda‐lime‐silica glassmelt was studied experimentally at several temperatures for a wide range of bubble sizes. The bubbles dissolved at an increasing rate until they reached a constant size that corresponded to a very small fraction of their initial volume. Mathematical models for both a stationary and a rising bubble were written, with a suitable interfacial boundary condition, and solved by the method of finite differences. Experimental data for bubbles small enough to be considered stationary were used, with the equations for a stationary bubble, to estimate the relevant physical parameters through a least‐squares fitting technique. The same values of the parameters were used in the rising bubble model, which accurately predicted the behavior of all of the bubbles. The experiments reveal an initial period of slow dissolution that cannot be described adequately by existing models, which assume instantaneous equilibrium in gas concentration at the interface. An empirical fit of this initial behavior permitted the description of the entire dissolution process.