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A model to calculate the viscosity of silicate melts

Part V: Borosilicate melts containing alkali metals
  • Eli Brosh , Arthur D. Pelton and Sergei A. Decterov
Published/Copyright: June 11, 2013
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Abstract

Our recently developed model for the viscosity of borosilicate melts is extended to describe and predict the viscosities of melts containing alkali oxides. In addition to the two model parameters that are required for each B2O3MOx melt, where MOx is a basic oxide, three more parameters are needed when MOx is an alkali oxide to account for the formation of clusters near the tetraborate composition. The additional parameters represent the size and Gibbs energy of formation of these clusters and their contribution to the activation energy of the viscous flow. A general algorithm for the calculation of the viscosity is presented which summarizes the application of the viscosity model to melts that can contain two network formers, SiO2 and B2O3, any basic oxide and amphoteric oxides exhibiting the Charge Compensation Effect such as Al2O3. The predictive ability of the model is tested on all ternary subsystems of the B2O3–Na2O–K2O–CaO–MgO–PbO–ZnO–Al2O3–SiO2 system containing both an alkali oxide and B2O3 for which experimental data are available and on several multicomponent glass-forming melts around commercial glass compositions.


* Correspondence address Dr. Sergei A. Decterov Centre de Recherche en Calcul Thermochimique Genie Chimique, École Polytechnique C.P. 6079, Station Centre-ville, Montréal (QC), Canada, H3C 3A7 Tel.: +15143404711 ext. 5796 Fax: +15143405840 E-mail:

References

[1] A.N.Grundy, H.-C.Liu, I.-H.Jung, S.A.Decterov, A.D.Pelton: Int. J. Mat. Res.99 (2008) 11851194.10.3139/146.101752Search in Google Scholar

[2] A.N.Grundy, I.-H.Jung, A.D.Pelton, S.A.Decterov: Int. J. Mat. Res.99 (2008) 11951209.10.3139/146.101753Search in Google Scholar

[3] W.-Y.Kim, A.D.Pelton, S.A.Decterov, “A Model to Calculate the Viscosity of Silicate Melts. Part III: Modification of the model for melts containing alkali metals”: Int. J. Mat. Res., submitted (2011).10.3139/146.110637Search in Google Scholar

[4] E.Brosh, A.D.Pelton, S.A.Decterov, “A Model to Calculate the Viscosity of Silicate Melts. Part IV: Borosilicate melts”: Int. J. Mat. Res., submitted (2011).10.3139/146.110638Search in Google Scholar

[5] A.D.Pelton, S.A.Decterov, G.Eriksson, C.Robelin, Y.Dessureault: Metall. Mater. Trans. B31 (2000) 651659. 10.1007/s11663-000-0103-2Search in Google Scholar

[6] A.D.Pelton, P.Chartrand: Metall. Mater. Trans. A32 (2001) 13551360. 10.1007/s11661-001-0226-3Search in Google Scholar

[7] J.E.Shelby: Introduction to Glass Science and Technology, 2d Edition, The Royal Society of Chemistry, Thomas Graham House, Science Park, Milton Road, Cambridge CB4 OWF, UK (2005).Search in Google Scholar

[8] D.R.Uhlmann, R.R.Shaw: J. Non-Cryst. Solids1 (1969) 347359. 10.1016/0022-3093(69)90018-0Search in Google Scholar

[9] D.B.Dingwell, M.Pichavant, F.Holtz: Structural Role of Boron in Melts, in: Reviews in Mineralogy, Mineralogical Society of America (1996) 333341.Search in Google Scholar

[10] P.-C.Li, A.C.Ghose, K.-J.Su: J. Am. Ceram. Soc.45 (1962) 8388. 10.1111/j.1151-2916.1962.tb11085.xSearch in Google Scholar

[11] C.J.Leedecke, C.G.Bergeron: Mater. Sci. Res.12(Borate Glasses) (1978) 413426.Search in Google Scholar

[12] L.Shartsis, W.Capps, S.Spinner: J. Am. Ceram. Soc.36 (1953) 319326. 10.1111/j.1151-2916.1953.tb12808.xSearch in Google Scholar

[13] G.H.Kaiura, J.M.Toguri: Phys. Chem. Glasses17 (1976) 6269.Search in Google Scholar

[14] K.Nakashima, T.Kawagoe, T.Ookado, K.Mori: Proceedings of the International Conference on Molten Slags Fluxes and Salts ′97 5th Sydney Jan. 5–8 1997, Iron and Steel Society, Warrendale, Pa (1997) 215221.Search in Google Scholar

[15] Z.Zhang, R.G.Reddy: Fluid Flow Phenomena in Metals Processing, Proceedings of a Symposium held at the TMS Annual Meeting, San Diego, Minerals, Metals & Materials Society, Warrendale, Pa (1999) 253260.Search in Google Scholar

[16] K.Matusita, T.Watanabe, K.Kamiya, S.Sakka: Phys. Chem. Glasses21 (1980) 7884.Search in Google Scholar

[17] C.W.Bale, E.Belisle, P.Chartrand, S.A.Decterov, G.Eriksson, K.Hack, I.-H.Jung, Y.-B.Kang, J.Melancon, A.D.Pelton, C.Robelin, S.Petersen: Calphad33 (2009) 295311;http://www.factsage.com/. 10.1016/j.calphad.2008.09.009Search in Google Scholar

[18] A.Fluegel: Glass Technol.: Eur. J. Glass Sci. Technol., Part A48 (2007) 1330.Search in Google Scholar

[19] T.Lakatos, L.G.Johansson, B.Simmingskold: Glastek. Tidskr.28 (1973) 7579.Search in Google Scholar

[20] M.J.Pascual, A.Duran, L.Pascual: Phys. Chem. Glasses43 (2002) 2531.Search in Google Scholar

[21] Y.Shiraishi, H.Ogawa: Tohoku Daigaku Senko Seiren Kenkyusho Iho44 (1988) 814.Search in Google Scholar

[22] J.C.Tait, D.L.Mandolesi, H.E.C.Rummens: Phys. Chem. Glasses25 (1984) 100104.Search in Google Scholar

[23] Ya.I.Belyi, V.I.Goleus: Ukrainskii Khimicheskii Zhurnal (Russian Edition)45 (1979) 11631167.Search in Google Scholar

[24] D.Ehrt, R.Keding: Phys. Chem. Glasses: Eur. J. Glass Sci. Technol., Part B50 (2009) 165171.Search in Google Scholar

[25] R.Brueckner, J.F.Navarro: Glastech. Ber.39 (1966) 283293.Search in Google Scholar

[26] G.Urbain, F.Millon, S.Cariset: Comptes Rendus des Seances de l'Academie des Sciences, Serie C: Sciences Chimiques290 (1980) 137140.Search in Google Scholar

[27] E.F.Riebling: J. Am. Ceram. Soc.47 (1964) 478483. 10.1111/j.1151-2916.1964.tb13794.xSearch in Google Scholar

[28] L.Sasek: Sbornik Vysoke Skoly Chemicko-Technologicke v Praze, L: Chemie a Technologie SilikatuL6 (1975) 6193.Search in Google Scholar

[29] R.Knoche, D.B.Dingwell, F.A.Seifert, S.L.Webb: Chem. Geol.116 (1994) 116. 10.1016/0009-2541(94)90154-6Search in Google Scholar

[30] W.Haller, D.H.Blackburn, F.E.Wagstaff, R.J.Charles: J. Am. Ceram. Soc.53 (1970) 3439. 10.1111/j.1151-2916.1970.tb11995.xSearch in Google Scholar

[31] Y.Shiraishi, S.Nagasaki, M.Yamashiro: J. Non-Cryst. Solids282 (2001) 8697. 10.1016/S0022-3093(01)00331-3Search in Google Scholar

[32] I.G.Polyakova, E.V.Tokareva: Proc. 2nd Int. Conf. Borate Glasses, Crystals and Melts, Abingdon (1996), Society of Glass and Technology, Sheffield (1996) 223230.Search in Google Scholar

[33] L.W.Coughanour, L.Shartis, H.F.Shermer: J. Am. Ceram. Soc.41 (1958) 324329. 10.1111/j.1151-2916.1958.tb12924.xSearch in Google Scholar

[34] S.J.Splinter, C.A.Pickles, J.Cameron: Can. Metall. Q30 (1991) 163168.10.1179/cmq.1991.30.3.163Search in Google Scholar

[35] T.P.I.Seward, T.Vascott: High Temperature Glass Melt Property Database for Process Modeling, American Ceramic Society, Westerville, Ohio (2005).Search in Google Scholar

[36] J.Kraxner, R.Klement, M.Liska: Ceram.-Silik.52 (2008) 148154.Search in Google Scholar

[37] T.Lakatos, L.G.Johansson: Glasteknisk Tidskrift31 (1976) 3135.Search in Google Scholar

[38] SciGlass 6.5 Database and Information System: www.sciglass.info (2005).Search in Google Scholar

[39] A.Fluegel, D.A.Earl, A.K.Varshneya, D.Öksoy: Statistical Analysis of Viscosity, Electrical Resistivity, and further Glass Melt Properties, in: High Temperature Glass Melt Property Database for Process Modeling, Seward, Thomas P.III and Vascott, Terese (Eds), American Ceramic Society, Westerville, Ohio (2005) 187256.Search in Google Scholar

[40] P.Hrma, C.A.See, O.P.Lam, K.B.C.Minister: High-Temperature Viscosity of Commercial Glasses, in: High Temperature Glass Melt Property Database for Process Modeling, Seward, Thomas P.III and Vascott, Terese (Eds), American Ceramic Society, Westerville, Ohio (2005) 133172.Search in Google Scholar

[41] T.Vascott, T.P.I.Seward: Commercial and Statistically Designed Glass Compositions, in: High Temperature Glass Melt Property Database for Process Modeling, Seward, Thomas P.III and Vascott, Terese (Ed (Eds.), American Ceramic Society, Westerville, Ohio (2005) 2746.Search in Google Scholar

[42] T.Lakatos: Glasteknisk Tidskrift31 (1976) 5154.Search in Google Scholar

[43] G.J.Roberts, S.Salt, W.Roberts, C.E.L.Franklin: Trans. Br. Ceram. Soc.63 (1964) 553602.Search in Google Scholar

[44] B.A.Staples, B.A.Scholes, D.K.Peeler, L.L.Torres, J.D.Vienna, C.A.Musick, B.R.Boyle: Report INEEL/EXT-99-01322 (February 2000).Search in Google Scholar

[45] W.-Y.Kim, A.D.Pelton, S.A.Decterov. “Modeling Viscosity of Silicate Melts Containing Lead Oxide”: Metall. Mater. Trans., accepted (2011).10.1007/s11663-011-9610-6Search in Google Scholar

[46] W.-Y.Kim, X.Yang, L.Yan, A.D.Pelton, S.A.Decterov, “Modeling Viscosity of Silicate Melts Containing Zinc Oxide”: Calphad, accepted (2011). 10.1016/j.calphad.2011.09.005Search in Google Scholar

Received: 2011-5-6
Accepted: 2011-10-18
Published Online: 2013-06-11
Published in Print: 2012-05-01

© 2012, Carl Hanser Verlag, München

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