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Using a self-similar approach a general nonsteady theory is elaborated forthe case of the diffusion growth of a gas bubble in a supersaturated solutionof gas in liquid. Due to the fact that the solution and the bubble in it arephysically isolated, the self-similar approach accounts for the balance of thenumber of gas molecules in the solution and in the bubble that expellsincompressible liquid solvent while growing. The rate of growth of the bubbleradius in its dependence from gas solubility and solution supersaturation isobtained. There is a nonsteady effect of rapid increase of the rate of bubblegrowth simultaneous with the growth of the product of gas solubility andsolution supersaturation. This product is supplied with a limitation fromabove, which also stipulates isothermal conditions of bubble growth. Thesmallness of gas solubility is not presupposed.

Theory of the nonsteady diffusion growth of a gas bubble in a supersaturated solution of gas in liquid