Abstract
Two-dimensional models of magma flow in a volcanic conduit with account for nonequilibrium crystallization, variable viscosity, heat exchange with surrounding rocks, and crystallization latent-heat release are presented. The viscosity depends on the temperature and the crystal concentration. It is assumed that magma may slip along the walls if a critical shear stress is reached. In the steady-state case the sigmoidal dependence of the flow-rate on the chamber pressure, earlier obtained within the framework of one-dimensional models, is found. It is shown that the parameter distribution across the conduit and thermal effects have a significant influence on the eruption dynamics.
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Original Russian Text © Yu.D. Tsvetkova, 2010, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2010, Vol. 45, No. 5, pp. 30–40.
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Tsvetkova, Y.D. Magma flow in a volcanic conduit with account for nonequilibrium crystallization and heat exchange with surrounding rocks. Fluid Dyn 45, 703–712 (2010). https://doi.org/10.1134/S0015462810050030
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DOI: https://doi.org/10.1134/S0015462810050030