Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-26T21:54:09.833Z Has data issue: false hasContentIssue false
  • English
  • Français

Modeling of the surface tension of liquid Fe-P alloy by calculation of liquidus line in Fe-P binary system

Published online by Cambridge University Press:  01 June 2006

Han S. Kim ,
Y. Kobayashi  and
K. Nagai
Han S. Kim*
Affiliation:
Metallurgical Processing Group, Steel Research Center, National Institute for Materials Science, Tsukuba, Ibaraki 305-0047 Japan
Y. Kobayashi
Affiliation:
Metallurgical Processing Group, Steel Research Center, National Institute for Materials Science, Tsukuba, Ibaraki 305-0047 Japan
K. Nagai
Affiliation:
Metallurgical Processing Group, Steel Research Center, National Institute for Materials Science, Tsukuba, Ibaraki 305-0047 Japan
*
a) Address all corresponding to this author. e-mail: kim.han-soo@nims.go.jp
Get access

Abstract

The surface tension of the Fe-P binary liquid solution was computed using a Butler's model in wide composition and temperature ranges by adopting the activity coefficient data that were evaluated from the phase diagram calculation. In the surface tension modeling, the Fe-P binary system was assumed as the Fe-Fe3P pseudo-binary system. The results of the computation were critically compared with the experimental data of the literature considering the effects of the size of the adsorbed elements and the interactions among them. The results of the computation at 1823 K showed good agreement with the selected experimental data of the literature in a wide composition range from 0 to 15 mass%P. Furthermore, the results of the computation at 0.5 mass%P showed good correlation with the selected experimental data of the literature in a wide temperature range from 1823 K to 1923 K.

Keywords

AdsorptionPhase equilibriaSurface chemistry
Type
Articles
Information
Journal of Materials Research , Volume 21 , Issue 6 , June 2006 , pp. 1399 - 1408
Copyright
Copyright © Materials Research Society 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Hirata, K., Umezawa, O., Nagai, K.: Microstructure of cast strip in 0.1mass%C steels containing phosphorous. Mater. Trans. JIM 43, 305 (2002).CrossRefGoogle Scholar
2.Yoshida, N., Umezawa, O., Nagai, K.: Influence of phosphorous on solidification structure in continuously cast 0.1mass%C steel. ISIJ Int. 43, 348 (2003).CrossRefGoogle Scholar
3.Kim, H., Kobayashi, Y., Tsukamoto, S., Nagai, K.: Effect of cooling rate on microstructure evolution of rapidly cooled high-impurity steels. Mater. Sci. Eng. A. 403, 311 (2005).CrossRefGoogle Scholar
4.Kim, H., Kobayashi, Y., and Nagai, K.: Simulation of the influence of phosphorous on the prior austenite grain size of high-impurity steels. Acta Mater. (2006).CrossRefGoogle Scholar
5.Liu, Z., Kobayashi, Y., Nagai, K.: Effect of nano-scale copper sulfide particles on the yield strength and work hardening ability in strip casting low carbon steel. Mater. Trans. 45, 479 (2004).CrossRefGoogle Scholar
6.Chipman, J.: Activities in liquid Metallic solutions, in Discussions of the Faraday Society 1948, No. 4, in The Physical Chemistry of Process Metallurgy, edited by Goodeve, C. F. (Butterworths, London, 1961), p. 23.Google Scholar
7.Gustafson, P. Report IM-2566. Institute of Metals Research (Stockholm), 1990.Google Scholar
8.Lupis, C.H.P.: Chemical Thermodynamics of Materials (Elsevier Science Publishing Co., North Holland, 1983), p. 219.Google Scholar
9.Dinsdale, A.T.: SGTE data for pure elements. Calphad 15, 317 (1991).CrossRefGoogle Scholar
10.Hillert, M., Jarl, M.: A model for alloying effects in ferromagnetic metals. Calphad 2, 227 (1978).CrossRefGoogle Scholar
11.Butler, J.A.V.: The thermodynamics of the surfaces of solutions. Proc. Roy. Soc. A 135A, 348 (1932).Google Scholar
12.Yeum, K.S., Speiser, R., Poirier, D.R.: Estimation of the surface tensions of binary-liquid alloys. Metall. Trans. B 20B, 693 (1989).CrossRefGoogle Scholar
13.Speiser, R., Poirier, D.R., Yeum, K.S.: Surface tension of binary-liquid alloys. Scripta Metall. 21, 687 (1987).CrossRefGoogle Scholar
14.Monma, K., Suto, H.: Thermodynamics of surface tension. J. Jpn. Inst. Metals 25, 65 (1961).CrossRefGoogle Scholar
15.Monma, K., Suto, H.: Discussion from experimental data of the thermodynamics of surface tension. J. Jpn. Inst. Metals 25, 143 (1961).CrossRefGoogle Scholar
16.Hoar, T.P., Melford, D.A.: The surface tension of binary liquid mixtures: Lead + tin and lead + indium alloys. Trans. Faraday Soc. 53, 315 (1957).CrossRefGoogle Scholar
17.Tanaka, T., Hara, S., Ogawa, M., Ueda, T.: Thermodynamic evaluation of the surface tension of molten salt mixtures in common ion alkali-halide systems. Z. Metallkd. 89, 368 (1998).Google Scholar
18.Tanaka, T., Hack, K., Iida, T., Hara, S.: Application of thermodynamic databases to the evaluation of surface tensions of molten alloys, slat mixtures and oxide mixtures. Z. Metallkd. 87, 380 (1996).Google Scholar
19.Hansen, M.: Constitution of Binary Alloys, 2nd ed. (McGraw-Hill Book Co., New York, 1958), p. 692.Google Scholar
20.Binary, S.G.T.E. Phase Diagram Collection: available at http://web.met.kth.se/dct/pd/ (accessed Sept. 1, 2005).Google Scholar
21.Hardy, H.K.: A sub-regular solution model and its application to some binary alloy systems. Acta Metall. 1, 202 (1953).CrossRefGoogle Scholar
22.Lupis, C.H.P.: Chemical Thermodynamics of Materials. (Elsevier Science Publishing Co., North Holland, 1983), p. 178.Google Scholar
23.Kasama, A., McLean, A., Miller, W.A., Morita, Z., Ward, M.J.: Surface tension of liquid iron oxygen alloys. Can. Metall. Q. 22, 9 (1983).CrossRefGoogle Scholar
24.Jimbo, I., Cramb, A.W.: The density of liquid iron-carbon alloys. Metall. Trans. B 24B, 5 (1993).CrossRefGoogle Scholar
25.Dyson, B.F.: The surface tension of iron and some iron alloys. Trans. AIME 227, 1098 (1963).Google Scholar
26.Kozakevitch, P., Urbain, G.: Surface tension of liquid iron and its alloys. Mem. Sci. Rev. Métall. 58, 931 (1961).Google Scholar
27.Tsarevskii, V.V., Popel, S.I.: Effect of phosphorus and sulfur on the surface properties of iron. Fiz. Met. Metall. 13, 451 (1962).Google Scholar
28.Xue, X.M., Jiang, H.G., Sui, Z.T., Ding, B.Z., Hu, Z.Q.: Influence of phosphorous addition on the surface tension of liquid iron and segregation of phosphorous on the surface of Fe-P alloy. Metall. Mater. Trans. B 27B, 71 (1996).CrossRefGoogle Scholar
29.Esche, W., Peter, O.: Determination of surface tension on pure and alloyed iron. Arch. Eisenhütten. 27, 355 (1956).Google Scholar
30.Dragomir, I.: Short range ordering in liquid iron-phosphorous alloys, in Proceedings of the 2nd International Conference on Properties of Liquid Metals edited by Takeuchi, S. (Taylor and Francis, London, 1972), p. 507.Google Scholar
31.Lide, D.R. ed.: CRC Handbook of Chemistry and Physics, 85th ed. (CRC Press, Boca Raton, FL, 2004), Sec. 4.Google Scholar
32.Soda, H., McLean, A., Miller, W.A.: Influence of oscillation amplitude on liquid surface tension measurements with levitated metal droplets. Metall. Trans. B 9B, 145 (1978).CrossRefGoogle Scholar
33.Belton, G.R.: The interplay between strong adsorption of solutes and interfacial kinetics at the liquid-metal surface. Can. Metall. Q. 21, 137 (1982).CrossRefGoogle Scholar
34.Baum, B.A., Kurochkin, K.T., Umrikhin, P.V.: Izv. Akad. Nauk SSSR Metall. 3, 82 (1961).Google Scholar
35.Popel, S.I., Tsare, B.V., Pavlov, V.V., Furman, E.L.: Joint effects of oxygen and sulfur on surface tension of iron. Izv. Akad. Nauk SSSR Metall. 4, 54 (1975).Google Scholar
36.Gupt, K.M., Yavoiski, V.I., Vishkaryov, A.F., Bliznvkov, S.A.: Trans. Ind. Inst. Met. 29, 286 (1976).Google Scholar
37.Lupis, C.H.P.: Chemical Thermodynamics of Materials (Elsevier Science Publishing Co., North Holland, 1983), p. 429.Google Scholar
38.Belton, G.R.: Langmuir adsorption, the Gibbs adsorption isotherm, and interfacial kinetics in liquid metal systems. Metal. Trans. B 7B, 35 (1976).CrossRefGoogle Scholar