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Mathematical simulation of metal solidification in a wedge-like casting mold with allowance for natural convection

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Journal of Engineering Physics and Thermophysics Aims and scope

Using the finite difference method, a nonstationary problem of metal solidification in a wedge-like casting mold has been solved in a two-dimensional statement with allowance for natural convection. For isolated instants of time the positions of the solidification front, the profiles of temperature, horizontal and vertical velocity components, and of the stream function have been obtained.

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References

  1. É . A. Iodko, Calculation of convective streams in the liquid core of solidifying bodies of very simple shape, Inzh.-Fiz. Zh., 10, No. 1, 92–100 (1966).

    Google Scholar 

  2. V. A. Efimov, Casting and Crystallization of Steel [in Russian], Metallurgiya, Moscow (1976).

    Google Scholar 

  3. Yu. A. Samoilovich, L. N. Yasnitskii, and Z. K. Kabakov, Mathematical simulation of thermal and hydrodynamic phenomena of the process of solidification of a continuous ingot, Metally, No. 2, 62–67 (1982).

  4. V. V. Dremov, Solidification of a melt in a mould in the presence of convective flows, in: Collected Papers, NMETAU, Izd. Porogi, Dnepropetrovsk (2005), pp. 198–207.

    Google Scholar 

  5. F. V. Nedopekin and S. S. Petrenko, Influence of turbulent convection on the processes of transfer in a solidifying ingot, in: Theoretical and Applied Mechanics, Issue 15, Tekhnika, Kiev (1984), pp. 131–135.

    Google Scholar 

  6. Yu. P. Ladikov, P. P. Rabochii, and O. K. Cheremnykh, On the structure of convective flows in a Bridgman crystallization at high Grashof numbers, Prikl. Gidromekh., 8, No. 2, 57–63 (2006).

    MATH  Google Scholar 

  7. V. Yu. Bezuglyi, Numerical Methods of the Theory of Convective Heat and Mass Transfer [in Russian], Vishcha Shkola, Kiev–Donetsk (1984).

    Google Scholar 

  8. P. J. Roache, Computational Fluid Dynamics [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  9. F. V. Nedopekin, Mathematical Simulation of the Hydrodynamics and Heat and Mass Transfer in Ingots [in Russian], Izd. Udmurtsk. Univ., Izhevsk (1994).

    Google Scholar 

  10. A. I. Tsaplin, Thermophysics of External Effects in Crystallization of Steel Ingots in Continuous Casting Machines [in Russian], Izd. UrO RAN, Ekaterinburg (1995).

    Google Scholar 

  11. H. Schlichting, Boundary Layer Theory [Russian translation], Nauka, Moscow (1974).

    Google Scholar 

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 83, No. 3, pp. 478–484, May–June, 2010.

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Aleksandrov, V.D., Golodenko, N.N., Dremov, V.V. et al. Mathematical simulation of metal solidification in a wedge-like casting mold with allowance for natural convection. J Eng Phys Thermophy 83, 505–512 (2010). https://doi.org/10.1007/s10891-010-0371-x

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  • DOI: https://doi.org/10.1007/s10891-010-0371-x

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