Effect of barodiffusion on the dynamics of gas bubble growth in the magmatic melt

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,...

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Bibliographic Details
Published inThermophysics and aeromechanics Vol. 30; no. 4; pp. 721 - 732
Main Authors Chernov, A. A., Davydov, M. N., Lezhnin, S. I.
Format Journal Article
LanguageEnglish
Published Novosibirsk Kutateladze Institute of Thermophysics SB RAS 01.07.2023
Springer Nature B.V
Subjects
Boundary layers
Exact solutions
Physics
Physics and Astronomy
Thermodynamics
gas bubble
decompression
boundary value problem with a moving boundary
magmatic melt
barodiffusion
numerical simulation
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Summary: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.
ISSN:1531-8699
0869-8643
1531-8699
DOI:10.1134/S086986432304011X