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Modelling of Solidification Processes in Magma Chambers Cooled from above
Abstract Moving Boundary Formulation is used to analyze one dimensional model of magma chamber which gradually cools and solidifies after emplacement in the region. Cooling of a layer of pure melt (magma chamber) from above leads to a temperature profile that increases with depth and is thermally unstable. The vigor of convection thus produced, is determined by Rayleigh-Nusselt number based on the finite depth of liquid layer remaining at a particular time and some other parameters like initial heat flow and Stefan number etc. We solve the nonlinear coupled set of differential equations by Runge-Kutta-Fehlberg method and results for different parameters are compared for phase boundary movement. The effect of the phase boundary or solidification process is shown for various parameters in detail. It is observed that the evolution process is much smoother when the exponent in the Rayleigh-Nusselt relation is decreased i.e. < 0.33.
Modelling of Solidification Processes in Magma Chambers Cooled from above
Abstract Moving Boundary Formulation is used to analyze one dimensional model of magma chamber which gradually cools and solidifies after emplacement in the region. Cooling of a layer of pure melt (magma chamber) from above leads to a temperature profile that increases with depth and is thermally unstable. The vigor of convection thus produced, is determined by Rayleigh-Nusselt number based on the finite depth of liquid layer remaining at a particular time and some other parameters like initial heat flow and Stefan number etc. We solve the nonlinear coupled set of differential equations by Runge-Kutta-Fehlberg method and results for different parameters are compared for phase boundary movement. The effect of the phase boundary or solidification process is shown for various parameters in detail. It is observed that the evolution process is much smoother when the exponent in the Rayleigh-Nusselt relation is decreased i.e. < 0.33.
Modelling of Solidification Processes in Magma Chambers Cooled from above
Tewari, Peeyush (author) / Gupta, U. S. (author) / Niwas, Sri (author)
1997
Article (Journal)
English
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