Abstract

A relation is derived to calculate the viscosity of a multicomponent SiO₂-based oxide solution as a function of the ionic fractions of the cations that make up the oxide solution. This relation can be used to predict the concentration-induced change in the viscosity and to calculate its value using the data on the viscosities of two–component SiO₂–M_xO_y liquid solutions in the silicon dioxide concentration range 65–75 wt % at fixed temperatures. This relation is derived using the concept of an oxide solution as the superposition of the elementary structures of cations with respect to each other. Moreover, cations of the same kind are located around an oxygen anion. Cation sites are filled in such a way that four cations of the same kind are located around an oxygen anion. The accepted model assumes that all cations have the same size and the same charge and differ only in kind. The resulting calculation formula is a polynomial. To find the unknown coefficients in the viscosity equation as functions of composition, a probabilistic model is proposed to take into account the order of extraction of cations from a cationic mixture on the assumption that the change in the viscosity as a function of composition is similar to the probability of extraction of a certain set of cations from a cationic mixture. For an activation model of viscosity, regression relations are obtained for the dependences of the activation energy of viscous flow and the preexponential factor on the ionic fraction of the second component in SiO₂–M_xO_y systems. The viscosities calculated by the derived relation are compared with the experimental data on the viscosities of multicomponent oxide silicate melts. The results of the comparative analysis show satisfactory agreement between the calculated and experimental viscosities.

中文翻译：

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使用二组分SiO 2 -M x O y系统在SiO 2浓度范围为65-75％时的粘度来计算基于多组分SiO 2的氧化物溶液的粘度

摘要

推导一个关系，以计算基于多组分SiO ₂的氧化物溶液的粘度，该粘度是组成该氧化物溶液的阳离子的离子分数的函数。该关系可用于预测浓度引起的粘度变化，并使用关于两组分SiO ₂ –M _x O _y的粘度数据来计算其值。在固定温度下，二氧化硅溶液中的液态溶液浓度为65–75 wt％。这种关系是使用氧化物溶液的概念作为阳离子的基本结构相互叠加的结果得出的。此外，相同种类的阳离子位于氧阴离子周围。填充阳离子位的方式应使四个相同种类的阳离子位于氧阴离子周围。公认的模型假定所有阳离子具有相同的大小和相同的电荷，并且仅种类不同。所得的计算公式为多项式。为了找到粘度方程中作为成分函数的未知系数，提出一个概率模型，考虑到从阳离子混合物中提取阳离子的顺序，并假设粘度随成分的变化与从阳离子混合物中提取某些阳离子的可能性相似。 。对于粘度的活化模型，获得了粘性流动的活化能和预指数因子对SiO中第二种组分的离子分数的依赖关系的回归关系。₂ –M _x O _y系统。通过推导的关系式计算出的粘度与多组分氧化物硅酸盐熔体粘度的实验数据进行了比较。比较分析的结果表明，计算出的粘度与实验粘度之间具有令人满意的一致性。