Geodesic
On the initial-boundary heat conduction problem for system with phase transfer
Matematičeskoe modelirovanie, Tome 25 (2013) no. 3, pp. 119-133.

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The paper is devoted to constructing of the mathematical model of aluminum alloy solidification process in a fettled steel mold with a centered thermosyphon. Thermal fields modeling is included boundary conditions of the second and third kind (radiative-convective heat exchange with the environment and the heat exchange with a thermosyphon), contact conditions of the fourth kind on the interface of dissimilar materials, as well as the construction of the phase transition boundary on the basis of the continuous calculation principles.
Keywords: nonlinear heat conduction equation with internal heat sources, continuous calculation schemes, control volume methods. 
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G. Sevastyanov; A. Sevastyanov; V. Odinokov. On the initial-boundary heat conduction problem for system with phase transfer. Matematičeskoe modelirovanie, Tome 25 (2013) no. 3, pp. 119-133. http://geodesic.mathdoc.fr/item/MM_2013_25_3_a9/

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