Abstract
This study systematically explores the foundational principles and mechanisms governing viscosity across the entirety of Fe-4.5wt%C-0.1wt%Ti-xS melts. The element sulfur (S) imparts discernible effects on system viscosity at diverse temperature intervals. In the solid-liquid phase boundary, an increase in S content precipitates a more pronounced formation of solid-phase particles within the system, consequently resulting in an elevated viscosity during this phase as S content increases. Conversely, within the pure liquid phase, S functions as an interstitial atom, inducing the breakdown of transient atomic clusters. This process induces a notable reduction in the cluster size of the original system and a simultaneous increase in free volume. As a corollary, in the pure liquid phase, system viscosity undergoes a reduction with an escalating S content. However, the influence of further increments in S content on the system’s clusters and free volume gradually diminishes. Therefore, within the pure liquid phase domain, a continued increase in S content progressively mitigates its impact on viscosity.
Graphical Abstract
![](http://media.springernature.com/lw685/springer-static/image/art%3A10.1007%2Fs12540-023-01608-2/MediaObjects/12540_2023_1608_Figa_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12540-023-01608-2/MediaObjects/12540_2023_1608_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12540-023-01608-2/MediaObjects/12540_2023_1608_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12540-023-01608-2/MediaObjects/12540_2023_1608_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12540-023-01608-2/MediaObjects/12540_2023_1608_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12540-023-01608-2/MediaObjects/12540_2023_1608_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12540-023-01608-2/MediaObjects/12540_2023_1608_Fig6_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12540-023-01608-2/MediaObjects/12540_2023_1608_Fig7_HTML.png)
Similar content being viewed by others
References
J. Zhao, H. Zuo, Y. Wang, J. Wang, Q. Xue, Review of green and low-carbon ironmaking technology. Ironmak. Steelmak. 47, 296–306 (2020)
M. Geerdes, R. Chaigneau, O. Lingiardi, R. Molenaar, R. van Opbergen, Y. Sha, J. Warren, Modern Blast Furnace Ironmaking: An Introduction, 4th edn. (IOS Press, Amsterdam, 2020)
X. Liu, L. Chen, H. Feng, X. Qin, F. Sun, Constructal design of a blast furnace iron-making process based on multi-objective optimization. Energy. 109, 137–151 (2016)
D. Zhou, S. Cheng, Y. Wang, X. Jiang, The production of large blast furnaces during 2016 and future development of ironmaking in China. Ironmak. Steelmak. 44, 714–720 (2017)
D.M. Sadek, Effect of cooling technique of blast furnace slag on the thermal behavior of solid cement bricks - ScienceDirect. J. Clean. Prod. 79, 134–141 (2014)
M. Sugiura, Y. Otani, M. Nakashima, N. Omoto, Continuous temperature measurement of liquid iron and slag tapped from a blast furnace. SICE J. Control Meas. Syst. Integr. 7, 147–151 (2014)
S.T. Cham, R. Sakurovs, H. Sun, V. Sahajwalla, Influence of temperature on carbon dissolution of cokes in molten iron. ISIJ Int. 46, 652–659 (2006)
X. Fan, S. Gao, J. Zhang, K. Jiao, Analysis of the structure and viscosity of iron melts containing titanium at various concentration. J. Mol. Liq. 386, 122519 (2023)
D. Vinoo, D. Mazumdar, S. Gupta, Optimisation and prediction model of hot metal desulphurisation reagent consumption. Ironmak. Steelmak. 34, 471–476 (2007)
J. Cui, J. Li, B. Lu, B. Li, Control and production of the sulphur content in smelting process of electrical steel. Metal World (2016) 36–39
N. Shohoji, Statistical thermodynamics of sulphur solution in molten iron. Trans. Iron. Steel. Inst. Japan. 26, 547–550 (1986)
J. Lee, K. Morita, Effect of carbon and sulphur on the surface tension of molten iron. Steel Res. 73, 367–372 (2002)
Y. Deng, J. Zhang, K. Jiao, Viscosity measurement and prediction model of molten iron. Ironmak. Steelmak. 45, 773–777 (2018)
C. Wu, V. Sahajwalla, Dissolution rates of coals and graphite in Fe-CS melts in direct ironmaking: influence of melt carbon and sulfur on carbon dissolution. Metall. Mater. Trans. B 31, 243–251 (2000)
M.W. Chapman, B.J. Monaghan, S.A. Nightingale, J.G. Mathieson, R.J. Nightingale, The effect of sulfur concentration in liquid iron on mineral layer formation during coke dissolution. Metall. Mater. Trans. B 42, 642–651 (2011)
M. Hayer, S. Whiteway, Effect of sulphur on the rate of decarburization of molten iron. Can. Metall. Q. 12, 23–34 (1973)
C.W. Bale, E. Bélisle, P. Chartrand, S. Decterov, G. Eriksson, K. Hack, I.-H. Jung, Y.-B. Kang, J. Melançon, A. Pelton, FactSage thermochemical software and databases—recent developments. Calphad. 33, 295–311 (2009)
A. Kostov, B. Friedrich, D. Živković, Thermodynamic calculations in alloys ti-al, ti-fe, al-fe and ti-al-fe. J. Min. Metall. Sect. B 44, 49–61 (2008)
O. Awe, Y. Odusote, L. Hussain, O. Akinlade, Temperature dependence of thermodynamic properties of Si–Ti binary liquid alloys. Thermochim. Acta 519, 1–5 (2011)
W. Wang, J. Chen, J. Yu, L. Zhou, S. Dai, W. Tian, Adjusting the melting and crystallization behaviors of ferronickel slag via partially replacing of SiO2 by B2O3 for mineral wool production. Waste Manage. 111, 34–40 (2020)
I. Sohn, R. Dippenaar, In-situ observation of crystallization and growth in high-temperature melts using the confocal laser microscope. Metall. Mater. Trans. B 47, 2083–2094 (2016)
Y. Sato, K. Sugisawa, D. Aoki, T. Yamamura, Viscosities of Fe–Ni, Fe–Co and Ni–Co binary melts. Meas. Sci. Technol. 16, 363 (2005)
S. Gao, K. Jiao, J. Zhang, X. Fan, Y. Zong, Association of atomic clusters and free volume with the viscosity of Fe-C melts. Chem. Phys. Lett. 806, 139983 (2022)
D.J. Hepburn, G.J. Ackland, Metallic-covalent interatomic potential for carbon in iron. Phys. Rev. B 78, 165115 (2008)
H.-K. Kim, W.-S. Jung, B.-J. Lee, Modified embedded-atom method interatomic potentials for the Fe–Ti–C and Fe–Ti–N ternary systems. Acta Mater. 57, 3140–3147 (2009)
N. Inui, S. Iwasaki, Interaction energy between graphene and a silicon substrate using pairwise summation of the Lennard-Jones potential. E-J. Surf. Sci. Nanotechnol. 15, 40–49 (2017)
G. Hudson, J. McCoubrey, Intermolecular forces between unlike molecules. A more complete form of the combining rules. Trans. Faraday Soc. 56, 761–766 (1960)
S. Plimpton, Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 17, 1–19 (1995)
S. Nosé, A unified formulation of the constant temperature molecular dynamics methods. J. Chem. Phys. 81, 511–519 (1984)
V. Filippova, E. Blinova, N. Shurygina, Constructing the pair interaction potentials of iron atoms with other metals. Inorg. Mater. Appl. Res. 6, 402–406 (2015)
S.J. Stuart, A.B. Tutein, J.A. Harrison, A reactive potential for hydrocarbons with intermolecular interactions. J. Chem. Phys. 112, 6472–6486 (2000)
H. Onodera, T. Abe, T. Yokokawa, Modeling of α/α2 phase equilibrium in the Ti Al system by the cluster variation method. Acta Metall. Mater. 42, 887–892 (1994)
M.C. Ribeiro, Molecular dynamics simulation of liquid sulfur dioxide. J. Phys. Chem. B 110, 8789–8797 (2006)
K. Parashivamurthy, P. Sampathkumaran, S. Seetharamu, In-situ TiC precipitation in molten Fe‐C and their characterisation. Cryst. Res. Technol.: J. Exp. Ind. Crystallogr. 43, 674–678 (2008)
S. Susman, K. Volin, D. Price, M. Grimsditch, J. Rino, R. Kalia, P. Vashishta, G. Gwanmesia, Y. Wang, R. Liebermann, Intermediate-range order in permanently densified vitreous SiO2: a neutron-diffraction and molecular-dynamics study. Phys. Rev. B 43, 1194 (1991)
S. Trady, M. Mazroui, A. Hasnaoui, K. Saadouni, Molecular dynamics study of atomic-level structure in monatomic metallic glass. J. Non-cryst. Solids. 443, 136–142 (2016)
Y. Shibazaki, Y. Kono, Effect of silicon, carbon, and sulfur on structure of liquid iron and implications for structure-property relations in liquid iron‐light element alloys. J. Geophys. Res.: Solid Earth 123, 4697–4706 (2018)
X.H. Wang, Iron and Steel Metallurgy: Steelmaking (Metallurgical Industry Press, Bei**g, 2007)
A.R. Yavari, A. Le Moulec, A. Inoue, N. Nishiyama, N. Lupu, E. Matsubara, W.J. Botta, G. Vaughan, M. Di Michiel, Å. Kvick, Excess free volume in metallic glasses measured by X-ray diffraction. Acta Mater. 53, 1611–1619 (2005)
V.S. Tsepelev, Y.N. Starodubtsev, Y.A. Kochetkova, Relationship between kinematic viscosity and cluster size in multicomponent metal melts. Defect. Diffus. Forum. 410, 102–107 (2021)
M. Wang, M. Li, J. Cheng, F. He, Z. Liu, Y. Hu, Free volume and structure of Gd2O3 and Y2O3 co-doped silicate glasses. J. Non-cryst. Solids 379, 145–149 (2013)
V.S. Tsepelev, Y.N. Starodubtsev, Y.A. Kochetkova, Anomalous temperature dependences of Kinematic Viscosity in a Multicomponent Metal melts. Key Eng. Mater. 902, 3–8 (2021)
G. Feng, K. Jiao, J. Zhang, S. Gao, High-temperature viscosity of iron–carbon melts based on liquid structure: the effect of carbon content and temperature. J. Mol. Liq. 330, 115603 (2021)
Acknowledgements
This work was financially supported by the Independent subject of State Key Laboratory of New Technology in Iron and Steel Metallurgy (41623026), The Youth Science and Technology Innovation Fund by Jianlong Group and University of Science and Technology Bei**g (2023–1221).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Fan, X., Huang, Y., Han, J. et al. Viscosity and Structure Studies of Iron-Based Quaternary Melts: The Effect of S. Met. Mater. Int. (2024). https://doi.org/10.1007/s12540-023-01608-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12540-023-01608-2