Research output: Contribution to journal › Article › peer-review
Regularities of non-stationary diffusion growth of overcritical gas bubbles and kinetics of bubble distribution in presence of capillary and viscous forces. / Kuchma, Anatoly E.; Shchekin, Alexander K.
In: Journal of Chemical Physics, Vol. 154, No. 14, 144101, 14.04.2021.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Regularities of non-stationary diffusion growth of overcritical gas bubbles and kinetics of bubble distribution in presence of capillary and viscous forces
AU - Kuchma, Anatoly E.
AU - Shchekin, Alexander K.
N1 - Publisher Copyright: © 2021 U.S. Government. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/4/14
Y1 - 2021/4/14
N2 - The regularities of non-stationary diffusion growth of overcritical gas bubbles and kinetics of their distribution in sizes in a supersaturated-by-gas liquid solution on the nucleation stage have been analytically described by taking into account the full-scale influence of viscous and capillary forces on pressure in the overcritical bubbles. The results are general and not limited by values of gas supersaturation and gas solubility in the surrounding liquid solution. It is shown how the nonuniform concentration profile of the dissolved gas in supersaturated solution around the growing bubble changes with time and distance from the center of the overcritical bubble and gradually transforms into a stationary (at low solubility and moderate supersaturation of the dissolved gas) or self-similar profile (at large solubility and supersaturation of the dissolved gas). The kinetic theory of the nucleation stage with the excluded volume has been extended to the case of non-stationary gas concentration profiles due to viscous and capillary forces. The general approach has been illustrated in the limiting case of negligible viscous but significant capillary contributions to the vapor pressure in the bubble and in the case when the approximation of the mean field of gas supersaturation can be applied.
AB - The regularities of non-stationary diffusion growth of overcritical gas bubbles and kinetics of their distribution in sizes in a supersaturated-by-gas liquid solution on the nucleation stage have been analytically described by taking into account the full-scale influence of viscous and capillary forces on pressure in the overcritical bubbles. The results are general and not limited by values of gas supersaturation and gas solubility in the surrounding liquid solution. It is shown how the nonuniform concentration profile of the dissolved gas in supersaturated solution around the growing bubble changes with time and distance from the center of the overcritical bubble and gradually transforms into a stationary (at low solubility and moderate supersaturation of the dissolved gas) or self-similar profile (at large solubility and supersaturation of the dissolved gas). The kinetic theory of the nucleation stage with the excluded volume has been extended to the case of non-stationary gas concentration profiles due to viscous and capillary forces. The general approach has been illustrated in the limiting case of negligible viscous but significant capillary contributions to the vapor pressure in the bubble and in the case when the approximation of the mean field of gas supersaturation can be applied.
UR - http://www.scopus.com/inward/record.url?scp=85103903153&partnerID=8YFLogxK
U2 - 10.1063/5.0045314
DO - 10.1063/5.0045314
M3 - Article
C2 - 33858160
AN - SCOPUS:85103903153
VL - 154
JO - Journal of Chemical Physics
JF - Journal of Chemical Physics
SN - 0021-9606
IS - 14
M1 - 144101
ER -
ID: 76330474