Research output: Contribution to journal › Article › peer-review
Effect of barodiffusion on the dynamics of gas bubble growth in the magmatic melt. / Chernov, A. A.; Davydov, M. N.; Lezhnin, S. I.
In: Thermophysics and Aeromechanics, Vol. 30, No. 4, 07.2023, p. 721-732.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Effect of barodiffusion on the dynamics of gas bubble growth in the magmatic melt
AU - Chernov, A. A.
AU - Davydov, M. N.
AU - Lezhnin, S. I.
N1 - The work was supported by the Russian Science Foundation (Project No. 22-19-00092). Публикация для корректировки.
PY - 2023/7
Y1 - 2023/7
N2 - The effect of barodiffusion on the dynamics of gas bubble growth in a highly viscous, gas-saturated magmatic melt undergoing rapid decompression is studied. A mathematical model of the process, which represents a joint dynamic and diffusion problem, is proposed. It is shown that as the bubble grows, a diffusive boundary layer is formed around it, leading to the appearance of a large viscosity gradient in the melt and, as a consequence, to a large pressure gradient. A semi-analytical solution of the problem based on the existence of a quasi-stationary state for the bubble growth process is found. It is shown that the effect of barodiffusion is significant at the initial and transient stages of the process. Its influence decreases with time and disappears completely at the stage of diffusion.
AB - The effect of barodiffusion on the dynamics of gas bubble growth in a highly viscous, gas-saturated magmatic melt undergoing rapid decompression is studied. A mathematical model of the process, which represents a joint dynamic and diffusion problem, is proposed. It is shown that as the bubble grows, a diffusive boundary layer is formed around it, leading to the appearance of a large viscosity gradient in the melt and, as a consequence, to a large pressure gradient. A semi-analytical solution of the problem based on the existence of a quasi-stationary state for the bubble growth process is found. It is shown that the effect of barodiffusion is significant at the initial and transient stages of the process. Its influence decreases with time and disappears completely at the stage of diffusion.
KW - barodiffusion
KW - boundary value problem with a moving boundary
KW - decompression
KW - gas bubble
KW - magmatic melt
KW - numerical simulation
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85181245278&origin=inward&txGid=64f50ed5c431d87cc828d9eb4034d394
UR - https://www.mendeley.com/catalogue/38725e98-028e-3356-b13e-c0880058fa0d/
U2 - 10.1134/S086986432304011X
DO - 10.1134/S086986432304011X
M3 - Article
VL - 30
SP - 721
EP - 732
JO - Thermophysics and Aeromechanics
JF - Thermophysics and Aeromechanics
SN - 0869-8643
IS - 4
ER -
ID: 59564228