Abstract:
The full system of equations for the problem of rarefaction-wave passage over the magma-melt column in the gravity field is derived with the use of the kinetic theory of phase transformations, and the problem is numerically solved. With allowance for diffusion zones and nucleation frequency as a function of supersaturation, the dependence of the number of cavitation nuclei formed in the course of phase transformations behind the rarefaction-wave front is found. The dynamics of the size distribution of cavitation bubbles along the magma-melt column (1 km) whose viscosity varies dynamically as a function of the concentration of dissolved water is studied.
Citation:
M. N. Davydov, V. K. Kedrinskii, A. A. Chernov, K. Takayama, “Generation and evolution of cavitation in magma under dynamic unloading”, Prikl. Mekh. Tekh. Fiz., 46:2 (2005), 71–80; J. Appl. Mech. Tech. Phys., 46:2 (2005), 208–215
\Bibitem{DavKedChe05}
\by M.~N.~Davydov, V.~K.~Kedrinskii, A.~A.~Chernov, K.~Takayama
\paper Generation and evolution of cavitation in magma under dynamic unloading
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2005
\vol 46
\issue 2
\pages 71--80
\mathnet{http://mi.mathnet.ru/pmtf2246}
\elib{https://elibrary.ru/item.asp?id=15175910}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2005
\vol 46
\issue 2
\pages 208--215
\crossref{https://doi.org/10.1007/s10808-005-0036-2}
Linking options:
https://www.mathnet.ru/eng/pmtf2246
https://www.mathnet.ru/eng/pmtf/v46/i2/p71
This publication is cited in the following 6 articles:
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Shabnam Raayai-Ardakani, Darla Rachelle Earl, Tal Cohen, “The intimate relationship between cavitation and fracture”, Soft Matter, 15:25 (2019), 4999
Roberto Sulpizio, Silvia Massaro, “Influence of Stress Field Changes on Eruption Initiation and Dynamics: A Review”, Front. Earth Sci., 5 (2017)
Raymond Angélil, Jürg Diemand, Kyoko K. Tanaka, Hidekazu Tanaka, “Bubble evolution and properties in homogeneous nucleation simulations”, Phys. Rev. E, 90:6 (2014)
V. K. Kedrinskii, M. N. Davydov, “Dynamics of boundary layer formation in a volcano channel in a cavitating high-viscosity magma flow”, J. Appl. Mech. Tech. Phys., 51:4 (2010), 529–537
Giuliana Lauro, “A note on a Korteweg fluid and the hydrodynamic form of the logarithmic Schrödinger equation”, Geophysical & Astrophysical Fluid Dynamics, 102:4 (2008), 373