Evolution of size and composition of a multicomponent gas bubble in liquid solution
https://doi.org/10.17586/22208054201564479488
Аннотация
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 quasistationary 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.
Об авторах
A. E. KuchmaРоссия
Department of Statistical Physics, Faculty of Physics
Ulyanovskaya 1, Petrodvoretz, St. Petersburg, 198504
A. K. Shchekin
Россия
Department of Statistical Physics, Faculty of Physics
Ulyanovskaya 1, Petrodvoretz, St. Petersburg, 198504
Список литературы
1. Skripov V.P. Metastable Liquid. New York: Wiley, 1974.
2. Baidakov V.G. Explosive Boiling of Superheated Cryogenic Liquids. Berlin: Wiley-VCH, 2007.
3. Kolasinski K.W. Bubbles: A review of their relationship to the formation of thin films and porous materials. Mesoporous Biomaterials, 2014, 1, P. 49–60.
4. Liu P.S., Chen G.F. Porous Materials: Processing and Applications. Amsterdam: Elsevier, 2014.
5. Gonnermann H.M. and Manga M. The fluid mechanics inside a volcano. Annu. Rev. Fluid Mech., 2007, 39, P. 321–356.
6. Kuchma A.E., Kuni F.M., and Shchekin A.K. Nucleation stage with nonsteady growth of supercritical gas bubbles in a strongly supersaturated liquid solution and the effect of excluded volume. Phys. Rev. E, 2009, 80, 061125.
7. Chernov A.A., Kedrinsky V.K., and Pil’nik A.A. Kinetics of gas bubble nucleation and growth in magmatic melt at its rapid decompression. Physics of Fluids, 2014, 26, 116602.
8. Srinivasan R.S., Gerth W.A., Powell M.R. Mathematical model of diffusion-limited evolution of multiple gas bubbles in tissue. Ann. Biomed. Eng., 2003, 31 (4), P. 471–81.
9. Epstein P.S. and Plesset M.S. On the Stability of Gas Bubbles in Liquid-Gas Solutions. J. Chem. Phys., 1950, 18, P. 1505–1509.
10. Grinin A.P., Kuni F.M., Gor G.Y. Theory of nonsteady diffusion growth of a gas bubble in a supersaturated solution of gas in liquid. Colloid Journal, 2009, 71 (1), P. 46–54.
11. Kuchma A.E., Gor G.Y., Kuni F.M. Stages of Steady Diffusion Growth of a Gas Bubble in Strongly Supersaturated Gas-Liquid Solution. Colloid Journal, 2009, 71 (4), P. 520–528.
12. Grinin A.P., Kuni F.M., Gor G.Y. The rate of nonsteady gas bubble growth in liquid supersaturated with gas. J. Mol. Liq., 2009, 148 (1), P. 32–34.
13. Gor G.Y., Kuchma A.E. Dynamics of gas bubble growth in a supersaturated solution with Sievert’s solubility law. J. Chem. Phys., 2009, 131, 034507.
14. Ramos J.I. Growth of multicomponent gas bubbles. Chem. Eng. Commun., 1986, 40, P. 321–334.
15. Ramos J.I. Multicomponent Gas Bubbles. I. Growth of Stationary Bubbles. J. Non-Equilib. Thermodyn., 1988, 13, P. 1–25.
16. Cable M. and Frade J.R. Diffusion-controlled growth of multi-component gas bubbles. Journal of Materials Science, 1987, 22 (3), P. 919–924.
17. Gor G.Y., Kuchma A.E. Steady-state composition of a two-component gas bubble growing in a liquid solution: self-similar approach. J. Chem. Phys., 2009, 131, 234705.
18. Kuchma A.E., Shchekin A.K., Kuni F.M. Simultaneous establishing of stationary growth rate and composition of supercritical droplets at isothermal binary condensation in the diffusion-controlled regime. Physica A, 2011, 390, P. 3308–3316.
19. Martyukova D.S., Kuchma A.E., Shchekin A.K. Dynamics of variations in size and composition of a binary droplet in a mixture of two condensing vapors and a passive gas under arbitrary initial conditions. Colloid Journal, 2013, 75 (5), P. 571–578.
20. Kuchma A.E., Martyukova D.S., Lezova A.A., Shchekin A.K. Size, temperature and composition of a spherical droplet as a function of time at the transient stage of nonisothermal binary condensation or evaporation. Colloids and Surfaces A, 2013, 432 (5), P. 147–156.
21. Kuchma A.E., Shchekin A.K., Lezova A.A., Martyukova D.S. On the Evolution of a Multicomponent Droplet during Nonisothermal Diffusion Growth or Evaporation. Colloid Journal, 2014, 76 (5), P. 576–584.
22. Kuchma A.E., Shchekin A.K., Martyukova D.S., Lezova A.A. Growth or evaporation of a free microdroplet. General equations for the regime of nonstationary diffusion and heat transfer in multicomponent vapor-gas environment. Aerosol Science & Technology, submitted 2015.
Рецензия
Для цитирования:
Kuchma A.E., Shchekin A.K. Evolution of size and composition of a multicomponent gas bubble in liquid solution. Наносистемы: физика, химия, математика. 2015;6(4):479-488. https://doi.org/10.17586/22208054201564479488
For citation:
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