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

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Dynamics of the growth of a gas bubble in a magmatic melt during its decompression: the effect of barodiffusion. / Чернов, Андрей Александрович ; Давыдов, Максим Николаевич ; Ерманюк, Евгений Валерьевич.

In: Journal of Fluid Mechanics, Vol. 1018, 10.09.2025.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{ed31964b57cb439fb12606999131c96d,

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

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.",

author = "Чернов, {Андрей Александрович} and Давыдов, {Максим Николаевич} and Ерманюк, {Евгений Валерьевич}",

year = "2025",

month = sep,

day = "10",

doi = "10.1017/jfm.2025.10503",

language = "English",

volume = "1018",

journal = "Journal of Fluid Mechanics",

issn = "0022-1120",

publisher = "Cambridge University Press",

}

RIS

TY - JOUR

T1 - Dynamics of the growth of a gas bubble in a magmatic melt during its decompression: the effect of barodiffusion

AU - Чернов, Андрей Александрович

AU - Давыдов, Максим Николаевич

AU - Ерманюк, Евгений Валерьевич

PY - 2025/9/10

Y1 - 2025/9/10

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/105014252204

U2 - 10.1017/jfm.2025.10503

DO - 10.1017/jfm.2025.10503

M3 - Article

VL - 1018

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

ER -

ID: 68947897