Calculation of the Viscosity of Melts in the Na₂OCaOSiO₂
System from Chemical Composition and Liquidus Temperature

V. N. Makarov*, O. V. Suvorova*, and I. V. Makarova**

* Institute of Chemistry and Technology of Rare Elements and Mineral Raw Materials, Kola Scientific Center, Russian
Academy of Sciences, ul. Fersmana 14, Apatity, Murmansk oblast, 184200 Russia
** Kama Polytechnical Institute, Naberezhnye Chelny, 423838 Russia

Received March 13, 1997; in final form, February 5, 1998

Abstract—A computer program is developed to calculate the temperatures of complete melting (the liquidus
temperatures) from standard mineral compositions in the Na₂O–CaO–SiO₂ system in the field limited by the fol-
lowing compositions: wollastonite CaSiO₃ (W)–sodium silicate Na₂Si₂O₅ (NS)–silica minerals (quartz, tridym-
ite, and cristobalite) SiO₂ (Q). It is shown that the temperature dependence of the viscosity is closely approxi-
mated by the equation log = K/T + b₀t² + c for most of compositions, for which the experimental data are avail-
able in a wide range of temperatures and viscosities. The relation between the logarithm of the viscosity and
composition at a given temperature can be satisfactorily described by the equation log_t + b₀ + b₁W + b₂NS +
b₃Q + b₄t, and the dependence of the logarithm of the viscosity on temperature and composition is well repre-
sented by the equation log = –10.784 + 1.607 10⁴/T + 0.064(t²/10⁴) + 0.031W + 0.058Q – 0.068(Q²/100).

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