Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-08-27
Colloid Journal, 2009, Volume 71, Number 1, Pages 46-54
Physics
Condensed Matter
Statistical Mechanics
22 pages, 3 figures
Scientific paper
10.1134/S1061933X09010050
Using a self-similar approach a general nonsteady theory is elaborated for the case of the diffusion growth of a gas bubble in a supersaturated solution of gas in liquid. Due to the fact that the solution and the bubble in it are physically isolated, the self-similar approach accounts for the balance of the number of gas molecules in the solution and in the bubble that expells incompressible liquid solvent while growing. The rate of growth of the bubble radius in its dependence from gas solubility and solution supersaturation is obtained. There is a nonsteady effect of rapid increase of the rate of bubble growth simultaneous with the growth of the product of gas solubility and solution supersaturation. This product is supplied with a limitation from above, which also stipulates isothermal conditions of bubble growth. The smallness of gas solubility is not presupposed.
Gor Gennady Yu.
Grinin A. P.
Kuni Fedor M.
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