Evolution of size and composition of a multicomponent gas bubble in liquid solution
https://doi.org/10.17586/22208054201564479488
Abstract
The equations describing the transient and steady stages of size and composition evolution for a gas bubble which grows or shrinks due to the diffusion of several gases dissolved in liquid solution have been derived. The diffusion fluxes for gases in the liquid mixture caused by the bubble growth or dissolution were assumed to be quasi-stationary and the mixture of the gases in the bubble was treated as ideal. The analytical solutions for the obtained evolution equations have been found for bubbles of any size with an arbitrary number of components in the case of equal products of diffusivities and solubilities of dissolved gases in the liquid solution, and for sufficiently large binary bubbles for which capillary effects can be neglected.
Supporting agencies: This work was supported by the Russian Foundation for Basic Research (project No. 130301049a) and the Program of Development of St. Petersburg State University (project No. 11.37.183.2014).
About the Authors
A. E. Kuchma
St. Petersburg State University
Russian Federation
Russian Federation
Department of Statistical Physics, Faculty of Physics
Ulyanovskaya 1, Petrodvoretz, St. Petersburg, 198504
A. K. Shchekin
St. Petersburg State University
Russian Federation
Russian Federation
Department of Statistical Physics, Faculty of Physics
Ulyanovskaya 1, Petrodvoretz, St. Petersburg, 198504
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Review
For citations:
Kuchma A.E., Shchekin A.K. Evolution of size and composition of a multicomponent gas bubble in liquid solution. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(4):479-488. https://doi.org/10.17586/22208054201564479488
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