Comparison of boundary interpolation methods on the geometrical modeling of viscosity for CaO-Al2O3-SiO2 melts

Abstract

Abstract Double Line (DL) model is an efficient method for predicting the physicochemical properties of systems with limited solubility area, and linear interpolation is always taken for the boundary-property interpolation. In this paper, two nonlinear interpolation methods are introduced to optimize the interpolated results on the calculation boundary, which are used for the viscosity prediction of CaO-Al2O3-SiO2 system by DL model. The predicted results by two nonlinear interpolation methods show better agreements with the experimental data than those by linear interpolation. Besides, whatever the interpolation method is, the predicted mean deviations by DL model are always much smaller than those by empirical models (Ray model and Urbain model). It is anticipated that the introduction of nonlinear interpolation methods will improve the calculation accuracy of ternary melts by DL model.