Abstract
The thermal and hydrodynamic phenomena accompanying crystallization of liquid steel are analyzed numerically.
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E. Z. Rabinovich, “Experimental study of motion of fused metal in an open channel,” Dokl. Akad. Nauk SSSR,54, No. 3, 201–203 (1946).
B. V. Rabinovich, Introduction to Casting Hydraulics [in Russian], Mashinostroenie, Moscow (1966).
V. M. Borishanskii and S. S. Kutateladze, “Calculation of heat transfer and hydraulic resistance in flow of liquid metals in tubes,” Energomashinostroenie, No. 6, 58–62 (1957).
V. M. Borishanskii and S. S. Kutateladze, “Heat transfer and hydraulic resistance in flow of liquid metals,” Zh. Tekh. Fiz.,28, No. 4, 836–847 (1958).
G. F. Balandin, Fundamentals of Casting Formation Theory [in Russian], Mashinostroenie, Moscow (1979).
G. F. Balandin and L. P. Kashirtsev, “Study of structural-mechanical properties of aluminum-silicon alloys in the crystallization interval,” in: Casting Properties of Alloys [in Russian], Naukova Dumka, Kiev (1968), pp. 228–240.
E. A. Leonova, “Mechanical properties of metals in the vicinity of the crystallization temperature,” in: Elasticity and Inelasticity [in Russian], Vol. 1, Moscow State Univ. (1971), pp. 221–252.
G. A. Ostroumov, Free Convection Under Internal Problem Conditions [in Russian], Gostekhteorizdat, Moscow-Leningrad (1952).
I. L. Povkh, É. A. Lodko, and P. F. Zavgorodnii, “Study of thermal gravitational convection and its effect on heat-mass transfer processes in solidifying melts,” Tepolofiz. Vys. Temp.,16, No. 6, 1250–1257 (1978).
Yu. A. Samoilovich, “Hydrodynamic phenomena in the unsolidified portion (liquid core) of a casting,” Izv. Akad. Nauk, SSSR, Met., No. 2, 84–92 (1969).
B. I. Vaisman and E. L. Tarunin, “Effect of crystallization on the free convection process in fused metals,” Uch. Zap. Perm. Univ., No. 293, 107–118 (1972).
P. G. Kroeger and S. Ostrach, “The solution of a two-dimensional freezing problem including convection effects in liquid region,” Int. J. Heat Mass Transfer,17, No. 10, 1191–1207 (1974).
S. Asai and J. Szekely, “Turbulent flow and its effects in continuous casting,” Ironmaking Steelmaking,2, No. 3, 205–213 (1975).
B. I. Myznikova and E. L. Tarunin, “Free convection in fused metals during crystallization,” in: Mathematical Methods in the Study of Special Electrometallurgy Processes [in Russian], Naukova Dumka, Kiev (1976), pp. 129–136.
Yu. A. Samoilovich, L. N. Yasnitskii, and Z. K. Kabakov, “Composite problem of heat exchange and hydrodynamics in a solidifying melt,” Teplofiz. Vys. Temp.,19, No. 4, 814–820 (1981).
L. G. Loitsyanskii, Liquid and Gas Mechanics [in Russian], Nauka, Moscow (1978).
E. G. Shvidovskii, Some Questions on the Viscosity of Fused Metals [in Russian], Gostekhizdat (1955).
R. D. Richtmyer and K. W. Morton, Difference Methods for Initial-Value Problems, Wiley (1967).
B. B. Gulyaev, Theory of Casting Processes [in Russian], Mashinostroenie, Leningrad (1976).
A. J. Chorin, “Numerical solution of the Navier-Stokes equation,” Math. Comp.,22, No. 104, 745–762 (1968).
Yu. A. Samoilovich and L. N. Yasnitskii, “Algorithm for solution of problems of thermogravitational convection of a viscous incompressible liquid by the finite element method,” Dep. VINITI No. 1131-80.
Yu. A. Samoilovich and L. N. Yashnitskii, “Method for stabilization of the numerical solution of nonstationary Navier-Stokes equations in the high Reynolds number range,” dep. VINITI, No. 19194-81.
V. G. Kozlov, “Stability of periodic liquid motion in a plane channel,” Izv. Akad. Nauk SSSR, Mekh. Zhidk, Gaza, No. 6, 114–118 (1979).
A. A. Yakimov, “Secondary convection flows in a plane vertical liquid layer with internal heat sources,” in: Hydrodynamics. Proceedings of Perm Pedagogical Institute [in Russian], Vol. 7, Perm. Knizh. Izd., Perm (1974), pp. 53–63.
G. Z. Gershuni and E. M. Zhukovitskii, Convective Stability of Incompressable Fluids, Halsted Press (1976).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 44, No. 3, pp. 465–473, March, 1983.
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Samoilovich, Y.A., Yasnitskii, L.N. & Kabakov, Z.K. Mathematical simulation of thermogravitational convection in solidification of liquid steel. Journal of Engineering Physics 44, 326–333 (1983). https://doi.org/10.1007/BF00827373
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DOI: https://doi.org/10.1007/BF00827373