Steady-state composition of a two-component gas bubble growing in a liquid solution: self-similar approach
Abstract
The paper presents an analytical description of the growth of a two-component bubble in a binary liquid-gas solution. We obtain asymptotic self-similar time dependence of the bubble radius and analytical expressions for the non-steady profiles of dissolved gases around the bubble. We show that the necessary condition for the self-similar regime of bubble growth is the constant, steady-state composition of the bubble. The equation for the steady-state composition is obtained. We reveal the dependence of the steady-state composition on the solubility laws of the bubble components. Besides, the universal, independent from the solubility laws, expressions for the steady-state composition are obtained for the case of strong supersaturations, which are typical for the homogeneous nucleation of a bubble.
Keywords
Cite
@article{arxiv.0912.0877,
title = {Steady-state composition of a two-component gas bubble growing in a liquid solution: self-similar approach},
author = {G. Yu. Gor and A. E. Kuchma},
journal= {arXiv preprint arXiv:0912.0877},
year = {2015}
}
Comments
12 pages, 2 figures