Cluster-associate model of the viscosity of potassium carbonat

IF 0.8 Q4 METALLURGY & METALLURGICAL ENGINEERING
L. Bekbayeva, V. P. Malyshev, S. Mamyachenkov, A. Makasheva
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引用次数: 0

Abstract

In the article, the temperature dependence of the viscosity of a complex inorganic substance - potassium carbonate was obtained and the proposed mathematical model was verified. Viscosity is considered as a chaosensitive property of a liquid inherent in it in motion and at rest. The mathematical model of viscosity was developed using the Boltzmann distribution and the concept of chaotic particles. On this basis, a hierarchical cluster-associate viscosity model is constructed, which takes into account not only the formation of primary clusters, but also secondary associates with respect to them, with the possibility of identifying the degree of cluster association. To adapt the cluster-associated model to experimental data, certain data processing techniques have been developed to identify unknown parameters of the model. The method of processing viscosity data using the entire set of three reference points allows you to determine the indicator of the degree of aggregation of associates. When processing the data on the viscosity of potassium carbonate, a high correlation coefficient was established calculated in comparison with reference values, which indicates the adequacy of the new relationship. This model makes it possible to predict the behavior of the viscosity of potassium carbonate in a higher temperature range. The degree of association of clusters with an increase in temperature decreases, corresponding to the dynamics of the destruction of associates and viscosity in general.
碳酸钾黏度的簇-关联模型
本文得到了复杂无机物碳酸钾粘度的温度依赖关系,并对所建立的数学模型进行了验证。粘度被认为是液体在运动和静止时所固有的一种混沌敏感性质。利用玻尔兹曼分布和混沌粒子的概念建立了粘度的数学模型。在此基础上,构建了层次化的团簇-缔合物黏度模型,该模型不仅考虑了主团簇的形成,还考虑了它们的次团簇,并有可能识别团簇的缔合程度。为了使聚类相关模型适应实验数据,开发了一些数据处理技术来识别模型的未知参数。使用三个参考点的整个集合处理粘度数据的方法允许您确定关联的聚集程度的指标。在对碳酸钾粘度数据进行处理时,通过与参考值的比较,计算出一个较高的相关系数,表明新关系的充分性。该模型使预测碳酸钾在较高温度范围内的粘度行为成为可能。团簇的结合力随温度的升高而降低,对应于一般情况下缔合物的破坏和黏度的动态变化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
自引率
42.90%
发文量
55
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