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Friction factor of shear thinning fluids in non-circular ducts—a simplified approach for rapid engineering calculation
Chemical Engineering Communications ( IF 2.5 ) Pub Date : 2020-05-28 , DOI: 10.1080/00986445.2020.1770232
Mehmet Ayas 1 , Jan Skocilas 1 , Tomas Jirout 1
Affiliation  

Abstract

This work reports on an investigation of the relationship between the Reynolds number and the friction factor of the fully developed laminar flow of power-law fluids through non-circular cross-sections (elliptical, concentric annuli, symmetrical L-shape, isosceles triangle, eccentric annuli, and square duct with a central cylindrical core), with the aim of providing a simple method for rapid and simplified engineering calculations. The friction factor—Reynolds number relation has been derived for non-circular ducts on the basis of the modified Reynolds number proposed by Metzner and Reed. It has been shown that the proposed correlation enables a prediction of the friction factor for the fully developed laminar flow of shear thinning fluids in non-circular cross-sections by using a calculation method similar to the method used for laminar flow of a Newtonian fluid. The correlation that is provided has been validated by analytical and numerical methods. It has been found that the proposed method can be used to determine the friction factor with high accuracy. This method yields a friction factor with a deviation of less than 5% in comparison with the conventional method.



中文翻译:

非圆形管道中剪切稀化流体的摩擦系数——一种快速工程计算的简化方法

摘要

这项工作报告了雷诺数与通过非圆形横截面(椭圆形、同心环形、对称 L 形、等腰三角形、偏心形)的幂律流体充分发展的层流的摩擦因数之间的关系的研究。环和带有中心圆柱芯的方形管道),目的是为快速和简化的工程计算提供一种简单的方法。在 Metzner 和 Reed 提出的修正雷诺数的基础上,推导出了非圆形管道的摩擦系数 - 雷诺数关系。已经表明,通过使用类似于用于牛顿流体层流的方法的计算方法,所提出的相关性能够预测非圆形横截面中剪切稀化流体的完全发展的层流的摩擦系数。提供的相关性已通过分析和数值方法验证。已经发现,所提出的方法可以用于高精度地确定摩擦因数。与传统方法相比,该方法产生的摩擦系数偏差小于 5%。

更新日期:2020-05-28
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