Abstract The paper describes a mathematical and physical modelling of flow of complex slurries in pipelines, i.e. a flow of slurries composed of solids covering a very broad range of particle sizes that overlaps more than one flow patterns – non-Newtonian, pseudohomogeneous, heterogeneous and fully-stratified. A typical examples are residual products (“tailings”) from mining industry with normal average particle sizes of 20 to 100 μm or more. Experimental results of flows of complex slurries composing of non-Newtonian carrier fluid and three fractions of glass particles in 50 mm pipe are presented. Depending on the particle size, particles show different flow patterns and therefore considerable differences in pressure drops. Fine particles tend behave as a homogeneous matter, while coarser particles exhibit heterogeneous behaviour and even coarser particles form a sliding bed. A mathematical 3-component predictive model for turbulent flow of complex slurries is presented based on well-established semi-empirical formulae developed originally for flows with Newtonian carrier. The predicted values of pressure drops show very reasonable agreement with experimental results and indicate suitability of the model for engineering practice.

中文翻译：

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基于实验结果的管道复杂泥浆湍流预测三组分模型修正

摘要 本文描述了管道中复杂泥浆流动的数学和物理建模，即由固体组成的泥浆流覆盖了非常广泛的粒径范围，这些流型重叠了不止一种流动模式——非牛顿、伪均质、异质和完全-分层。典型的例子是来自采矿业的残余产品（“尾矿”），其正常平均粒径为 20 至 100 微米或更大。介绍了由非牛顿载体流体和三部分玻璃颗粒组成的复杂浆液在 50 毫米管道中流动的实验结果。根据粒径的不同，颗粒表现出不同的流动模式，因此压降差异很大。细颗粒往往表现为均质物质，而较粗的颗粒表现出异质行为，甚至较粗的颗粒形成滑动床。基于最初为牛顿载体流动开发的完善的半经验公式，提出了复杂泥浆湍流的数学 3 分量预测模型。压降的预测值与实验结果非常吻合，表明该模型适用于工程实践。