Role of the Structural and Thermal Peclet Numbers in the Brass Continuous Casting

Open access


The Structural Peclet Number has been estimated experimentally by analyzing the morphology of the continuously cast brass ingots. It allowed to adapt a proper development of the Ivantsov’s series in order to formulate the Growth Law for the columnar structure formation in the brass ingots solidified in stationary condition. Simultaneously, the Thermal Peclet Number together with the Biot, Stefan, and Fourier Numbers is used in the model describing the heat transfer connected with the so-called contact layer (air gap between an ingot and crystallizer). It lead to define the shape and position of the s/l interface in the brass ingot subjected to the vertical continuous displacement within the crystallizer (in gravity). Particularly, a comparison of the shape of the simulated s/l interface at the axis of the continuously cast brass ingot with the real shape revealed at the ingot axis is delivered. Structural zones in the continuously cast brass ingot are revealed: FC - fine columnar grains, C - columnar grains, E - equiaxed grains, SC - single crystal situated axially.

[1] Wołczyński, W. (2016). Large Steel Ingots: Microstructure Mathematical Modeling. In Taylor & Francis; R. Colas, G.E. Totten (Eds.). The Encyclopedia of Iron, Steel, and Their Alloys (pp. 1910-1924). Boca Raton-London-New York.

[2] Hunt, J.D. (1984). Steady State Columnar / Equiaxed Growth of Dendrites and Eutectics. Materials Science and Engineering. 65, 75-83.

[3] Alexandrova, I.V., Alexandrov, D.V., Aseev, D.L. & Bulitcheva, S.V. (2009). Mushy layer formation during solidification of binary alloys from a cooled wall: the role of boundary conditions. Acta Physica Polonica A. 115, 6-9.

[4] Wołczyński, W., Lipnicki, Z., Bydałek, A.W., & Ivanova, A.A. (2016). Structural zones in large static ingots. Forecasts for continuously cast brass ingot. Archives of Foundry Engineering. 16(3), 141-146.

[5] Trivedi, R. (1980). Theory of dendritic growth during the directional solidification of binary alloys. Journal of Crystal Growth. 49, 219-232.

[6] Ivantsov, G.P. (1947). Temperature field around spherical, cylindrical, and needle-shaped of crystals which grow in supercooled melt. Doklady Akademii Nauk SSSR. 58, 567-72.

[7] Kurz, W., Fisher, D.J. (1984). Fundamentals of solidification. (fourth revised ed.). Uetikon-Zuerich: Trans. Tech. Publ.

[8] Caroli, B., Caroli, C. & Roulet, B. (1986).The Mullins - Sekerka instability in directional solidification of thin samples. Journal of Crystal Growth. 76, 31-49.

[9] Langer, J.S. & Muller-Krumbhaar, H. (1977). Stability effects in dendritic crystal growth. Journal of Crystal Growth. 42, 11-14.

[10] Majchrzak, E., Mochnacki, B., Dziewoński, M. & Jasiński, M. (2008). Identification of boundary heat flux on the continuous casting surface. Archives of Foundry Engineering. 8(4), 105-110.

[11] Telejko, T., Malinowski, Z. & Rywotycki, M. (2009). Analysis of heat transfer and fluid flow in continuous steel casting. Archives of Metallurgy and Materials. 54, 837-844.

[12] Lipnicki, Z. & Weigand, B. (2011). Influence of thermal boundary layer on the contact layer between liquid and a cold plate in a solidification process. Heat and Mass Transfer. 47, 1629-1635.

[13] Lipnicki, Z. & Pantoł, K. (2015). Role of a continuous casting forms on the shape of the solidified crust. Archives of Metallurgy and Materials. 60(4), 2553-2557.

[14] Konozsy, L., Ishmurzin, A., Grasser, M., Wu, M.H., Ludwig, A., Tanzer, R, & Schutzenhofer, W. (2010). Columnar to equiaxed transition during ingot casting using ternary alloy composition. Materials Science Forum. 649, 349-354.

[15] Lorbiecka, A., & Sarler, B. (2010). A sensitivity study of grain growth model for prediction of ECT/CET transformations in continuous steel casting. Materials Science Forum. 649, 373-378.

[16] Szajnar, J. (2004). The columnar crystals shape and castings structure cast in magnetic field. Journal of Materials Processing Technology. 157/158, 761-764.

[17] Burbelko, A., Falkus, J., Kapturkiewicz, W., Sołek, K., Drożdż, P., & Wróbel, M. (2012). Modeling of the grain structure formation in the steel continuous ingot by CAFE method. Archives of Metallurgy and Materials. 57, 379-384.

[18] Umeda, T. (1997). Heat, mass and microstructure simulation of continuous casting. Proceedings of 7th International Symposium on Physical Simulation, 3-7 May 1997, 64-75, Tsukuba - Japan.

[19] Ivanova, A.A. (2009). Dinamika tiemperaturnych gradientow nieprerywnolitogo slitka. Metallurgicheskije Processy i Oborudovanije. 2(16), 7-12 (in Russian).

[20] Gandin, Ch.A., (2000). From constrained to unconstrained growth during directional solidification. Acta Materialia. 48, 2483-2501.

Archives of Foundry Engineering

The Journal of Polish Academy of Sciences

Journal Information

CiteScore 2016: 0.42

SCImago Journal Rank (SJR) 2016: 0.192
Source Normalized Impact per Paper (SNIP) 2016: 0.316


All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 141 111 8
PDF Downloads 67 61 8