Equations of thermal convection for a viscous compressible mantle of the earth including phase transitions |
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| Authors: | V P Trubitsyn |
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| Institution: | (1) Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Bol’shaya Gruzinskaya ul. 10, Moscow, 123995, Russia |
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| Abstract: | A system of equations for the calculation of thermal convection in a compressible mantle with variable parameters and phase transitions is derived from the general laws of mass, momentum, and energy conservation and thermodynamic relations. Mantle convection is successively calculated in the anelastic liquid, truncated anelastic liquid, mean density, expanded Boussinesq, and Boussinesq approximations. Phase transitions are automatically taken into account with the help of effective thermodynamic parameters determined from general thermodynamic relations. |
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