There is an enduring interest in concentrated particulate filled slurries in many industries for a wide variety of products and processes. In previous research, a collection of experimental procedures provided velocity profiles, pressure drops and power law constants for slurries flowing in a tube. A model previously developed for the power law, based on mono-disperse fillers and on percolation theory concepts, is reviewed and extended to bi-modal slurries. The model for the power law constant, n , is shown to be only a function of the volume of non-dissipating clusters in the slurry. Experimental results are used to compare the effects of mono-modal and bi-modal fillers on the viscosity and n in the composite flow of filled Newtonian carrier fluids. The data and analysis demonstrate that n can be related to the ratio of energy dissipated by the slurry divided by the dissipation of a Newtonian fluid flowing under similar conditions. The power law parameters were developed using Bingham model constants employed to approximate dissipation in tube flow. The power law constant was found to be smaller for the bi-modal systems than for mono-modal slurries at the same total filler concentration.

中文翻译：

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比较单分散和双分散填充浆料的幂律常数 (n)：使用渗透理论概念

许多行业对用于各种产品和工艺的浓缩颗粒填充浆料有着持久的兴趣。在以前的研究中，一组实验程序提供了在管中流动的泥浆的速度分布、压降和幂律常数。先前为幂律开发的模型，基于单分散填料和渗透理论概念，进行了回顾并扩展到双峰泥浆。幂律常数 n 的模型仅是浆料中非耗散簇体积的函数。实验结果用于比较单峰和双峰填料对填充牛顿载体流体的复合流中的粘度和 n 的影响。数据和分析表明，n 可以与泥浆耗散的能量除以在类似条件下流动的牛顿流体的耗散的比率有关。幂律参数是使用宾厄姆模型常数开发的，用于近似管流中的耗散。在相同的总填料浓度下，发现双峰系统的幂律常数小于单峰浆料的幂律常数。