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 -