Geodesic
Mathematical model of single crystal ingot solidification thermophysics as mean increasing of effeciency of processes crystallization of single crystal blades of turbine engines
Matematičeskoe modelirovanie, Tome 21 (2009) no. 7, pp. 75-82

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A macroscopical mathematical model of single crystal casting solidification therophysics is suggested. The casting is formed at immersing mold with melt into liquid metal coolant. The equation of thermal energy transfer is formulated with taking into account single crystal properties anisotropy. The boundary conditions are considered in detail. The computational error estimation is offered. The accelerated forecasting opportunity of single crystal blades solidification technological processes which allow to increase productivity is shown. 
@article{MM_2009_21_7_a6,
     author = {I. L. Nikulin and A. I. Tzaplin},
     title = {Mathematical model of single crystal ingot solidification thermophysics as mean increasing of effeciency of processes crystallization of single crystal blades of turbine engines},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {75--82},
     publisher = {mathdoc},
     volume = {21},
     number = {7},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_7_a6/}
}
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I. L. Nikulin; A. I. Tzaplin. Mathematical model of single crystal ingot solidification thermophysics as mean increasing of effeciency of processes crystallization of single crystal blades of turbine engines. Matematičeskoe modelirovanie, Tome 21 (2009) no. 7, pp. 75-82. http://geodesic.mathdoc.fr/item/MM_2009_21_7_a6/