Hanford low‐activity waste glass composition‐temperature‐melt viscosity relationships
Alejandro Heredia‐Langner, Vivianaluxa Gervasio, Scott K. Cooley, Charmayne Lonergan, Dong‐Sang Kim, Albert A. Kruger, John D. Vienna
Abstract
Abstract This study developed a model for predicting viscosity of alkali‐alumino‐borosilicate glass melts as functions of composition and temperature. The model is based on a total of 3935 viscosity‐temperature data from 574 glasses with viscosity values ranging from 2.53 to 7260 Poise (P) in the temperature range of 900–1260°C. Several different model forms were surveyed, including those based on Arrhenius, Vogel‐Fulcher‐Tammann, Avramov‐Milchev, and Mauro‐Yue‐Ellison‐Gupta‐Allen. For each of these models, combinations of the temperature‐independent parameters were fitted to composition. It was found that generally fitting more than one temperature‐independent parameter as functions of composition resulted in overfitting. The Avramov‐Milchev‐based model was found to best represent the Hanford low‐activity waste glass melt viscosity data based on model fit and validation statistics. A 21‐term partial quadratic mixture model was recommended for use. This model predicts melt viscosity with a root‐mean square error of .1736 ln(P), which is similar to the error in viscosity measurements from replicate glass analyses of .1383 ln(P). Viscosity was found to be most increased by SiO 2 > Al 2 O 3 > ZrO 2 > SnO 2 and most decreased by Li 2 O > Na 2 O > B 2 O 3 > CaO > K 2 O > MgO, at temperatures from 900 to 1260°C.