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Dynamics of the growth of a gas bubble in a magmatic melt during its decompression: the effect of barodiffusion

Published online by Cambridge University Press:  27 August 2025

Andrey A. Chernov Open the ORCID record for Andrey A. Chernov [Opens in a new window] ,
Maksim N. Davydov Open the ORCID record for Maksim N. Davydov [Opens in a new window]  and
Eugeny V. Ermanyuk Open the ORCID record for Eugeny V. Ermanyuk [Opens in a new window]
Andrey A. Chernov*
Affiliation:
Novosibirsk State University, Novosibirsk, Russia Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia
Maksim N. Davydov
Affiliation:
Novosibirsk State University, Novosibirsk, Russia Lavrentyev Institute of Hydrodynamics SB RAS, Novosibirsk, Russia
Eugeny V. Ermanyuk
Affiliation:
Lavrentyev Institute of Hydrodynamics SB RAS, Novosibirsk, Russia
*
Corresponding author: Andrey A. Chernov, chernov@itp.nsc.ru
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Abstract

This paper explores the role of barodiffusion in the dynamics of gas bubble growth in highly viscous gas-saturated magma subjected to instant decompression. A mathematical model describing the growth of a single isolated bubble is formulated in terms of the modified Rayleigh–Plesset equation coupled with the mass transfer and material balance equations. The model simultaneously takes into account both dynamic and diffusion mechanisms, including the effect of barodiffusion caused by emergence of a large pressure gradient in the liquid, which, in turn, is associated with formation of a diffusion boundary layer around the bubble. An analytical solution of the problem is found, the construction of which is based on the existence of a quasi-stationary state of the bubble growth process. It is shown that barodiffusion manifests itself at the initial and transient stages and under certain conditions can play a paramount role.

JFM classification

Drops and Bubbles: Bubble dynamics Mass Transport: Coupled diffusion and flow Geophysical and Geological Flows: Magma and lava flow

Information

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 1018 , 10 September 2025 , A6
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© The Author(s), 2025. Published by Cambridge University Press

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