Steady-state composition of a two-component gas bubble growing in a liquid solution: Self-similar approach

G. Yu Gor; A. E. Kuchma

doi:10.1063/1.3276708

Steady-state composition of a two-component gas bubble growing in a liquid solution: Self-similar approach

G. Yu Gor, A. E. Kuchma

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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 nonsteady 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.

Original language	English (US)
Article number	234705
Journal	Journal of Chemical Physics
Volume	131
Issue number	23
DOIs	https://doi.org/10.1063/1.3276708
State	Published - 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

Access to Document

10.1063/1.3276708

Cite this

@article{703f826959244372b120153adf42c6ee,

title = "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 nonsteady 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.",

author = "Gor, {G. Yu} and Kuchma, {A. E.}",

note = "Funding Information: Authors are grateful to Dr. Attila Imre for stimulating our interest to the two-component gas bubbles during the brief discussion at “Nucleation Theory and Applications” workshop (Dubna, 2009). The research has been carried out with the financial support of the Russian Analytical Program “The Development of Scientific Potential of Higher Education” (2009–2010), Project No. RNP.2.1.1.4430, “Structure, Thermodynamics and Kinetics of Supramolecular Systems.”",

year = "2009",

doi = "10.1063/1.3276708",

language = "English (US)",

volume = "131",

journal = "Journal of Chemical Physics",

issn = "0021-9606",

publisher = "American Institute of Physics Publising LLC",

number = "23",

}

TY - JOUR

T1 - Steady-state composition of a two-component gas bubble growing in a liquid solution

T2 - Self-similar approach

AU - Gor, G. Yu

AU - Kuchma, A. E.

N1 - Funding Information: Authors are grateful to Dr. Attila Imre for stimulating our interest to the two-component gas bubbles during the brief discussion at “Nucleation Theory and Applications” workshop (Dubna, 2009). The research has been carried out with the financial support of the Russian Analytical Program “The Development of Scientific Potential of Higher Education” (2009–2010), Project No. RNP.2.1.1.4430, “Structure, Thermodynamics and Kinetics of Supramolecular Systems.”

PY - 2009

Y1 - 2009

N2 - 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 nonsteady 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.

AB - 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 nonsteady 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.

UR - http://www.scopus.com/inward/record.url?scp=73449084474&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=73449084474&partnerID=8YFLogxK

U2 - 10.1063/1.3276708

DO - 10.1063/1.3276708

M3 - Article

C2 - 20025340

AN - SCOPUS:73449084474

SN - 0021-9606

VL - 131

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 23

M1 - 234705

ER -

Steady-state composition of a two-component gas bubble growing in a liquid solution: Self-similar approach

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this