Arrhenius model for high-temperature glass-viscosity with a constant pre-exponential factor

A simplified form of the Arrhenius equation, ln η = A + B(x)/T, where η is the viscosity, T the temperature, x the composition vector, and A and B the Arrhenius coefficients, was fitted to glass-viscosity data for the processing temperature range (the range at which the viscosity is within 1–103 Pa s) while setting A = constant and treating B(x) as a linear function of mass fractions of major components. Fitting the Arrhenius equation to over 550 viscosity data of commercial silicate glasses and approximately 1000 viscosity data of glasses for nuclear-waste glasses resulted in the A values of −11.35 and −11.48, respectively. The fraction of the variability (R2) value ranged from 0.92 to 0.99 for commercial glasses and was 0.98 for waste glasses. The Arrhenius models estimate viscosities for melts of commercial glasses containing 42–84 mass% SiO2 within the temperature range of 1100–1550 °C and viscosity range of 5–400 Pa s and for waste glasses containing 32–60 mass% SiO2 within the temperature range of 850–1450 °C and viscosity range of 0.4–250 Pa s.