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首页> 外文期刊>ISIJ international >Composition Dependence of Viscosity in Binary Silicate Melts Using Double Exponential Function
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Composition Dependence of Viscosity in Binary Silicate Melts Using Double Exponential Function

机译：双指数函数在二元硅酸盐熔体中粘度的成分依赖性

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Development of a model for estimating the viscosity of a molten silicate is important because viscosity plays an important role in high-temperature processes. However, there is still much controversy with regard to the type of equation that is appropriate for expressing viscosity changes with changes in composition and temperature. In the present work, the composition dependence of viscosity for molten silicates in binary systems was investigated based on a double exponential function. The relationship between the double logarithm of viscosity, which is an inverse of a double exponential function, and the composition was clarified using the available experimental data. We found that the double logarithm of viscosity is linearly related to the composition in certain composition ranges. The double exponential function derived empirically by fitting it to the experimental data shows a reasonable viscosity dependence on composition and temperature. The linear relationship between the double logarithm of viscosity and the composition can be derived by assuming that the probability function of the occurrence of flow in a binary silicate melt has a Gumbel distribution.
机译：因为在高温过程中粘度起着重要的作用，所以开发用于估计熔融硅酸盐的粘度的模型很重要。但是，关于方程式的类型仍存在很多争议，该方程式适合于表示随成分和温度的变化而变化的粘度。在目前的工作中，基于双指数函数研究了二元体系中熔融硅酸盐的粘度组成依赖性。使用可获得的实验数据阐明了粘度的双对数（它是双指数函数的反函数）与组成之间的关系。我们发现，在某些组成范围内，粘度的双对数与组成线性相关。通过将其拟合到实验数据以经验得出的双指数函数显示出合理的粘度依赖于组成和温度。可以通过假设二元硅酸盐熔体中发生流动的概率函数具有Gumbel分布，得出粘度的双对数与组成之间的线性关系。

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