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Non-Newtonian fluid flow from bottom of tank using orifices of different shapes
Chemical Engineering Research and Design ( IF 3.7 ) Pub Date : 2020-02-22 , DOI: 10.1016/j.cherd.2020.02.015
Morakane Khahledi , Rainer Haldenwang , Raj Chhabra , Veruscha Fester

The use of orifices in measuring and regulating the discharge of Newtonian liquids from tanks has been studied extensively. For non-Newtonian liquids, this is not the case mainly due to the complex rheological properties of such liquids. To date only circular orifices have been used to measure the flow of Power-Law liquids from a tank. In this work, a range of non-Newtonian liquids flowing from a tank through different sizes of sharp crested circular, square and triangular orifices have been tested. A rectangular tank suspended from a weighbridge with a load cell was used and the orifices were fitted at the bottom of the tank for the discharge measurement. The rheological parameters of the test liquids were obtained using a concentric cylinder viscometer. The liquids tested included Newtonian, Power-law, Bingham and Herschel–Bulkley model liquids. The height-time data was transformed into discharge coefficient (Cd)-Reynolds number (Re) format for each liquid-orifice combination in all cases. The average Cd value was 0.64 in the turbulent region. Each model liquid in the laminar regime resulted in a unique relationship. Using an idea of an effective shear rate for flow through the orifice, a new Reynolds number has been defined for the different liquids to consolidate the Cd-Re relationship to the Newtonian liquid curve. A single composite model was used to predict the relationship between Cd and Re for all liquids-orifices combinations used in this work. This can be used in the engineering designs and processes.



中文翻译:

非牛顿流体通过不同形状的孔从储罐底部流出

孔在测量和调节储罐中牛顿液体的排放方面的用途已得到广泛研究。对于非牛顿液体,不是这种情况,主要是因为这种液体具有复杂的流变性。迄今为止,仅使用圆形孔口来测量来自罐的Power-Law液体的流量。在这项工作中,已经测试了一系列非牛顿液体从储罐流过不同尺寸的尖锐的圆形,方形和三角形孔。使用从带有称重传感器的地磅悬挂的矩形水箱,并将孔口安装在水箱底部以进行排放测量。使用同心圆筒粘度计获得测试液体的流变参数。测试的液体包括牛顿,幂律,宾厄姆和赫歇尔-伯克利模型液体。d)-在所有情况下,每种液孔组合的雷诺数(Re)格式。在湍流区域中,平均C d值为0.64。层流状态下的每种模型液体都具有独特的关系。使用有效的剪切速率来流过孔的想法,为不同的液体定义了新的雷诺数,以巩固C d -Re与牛顿液体曲线的关系。对于该工作中使用的所有液孔组合,使用单个复合模型来预测C d和Re之间的关系。可以在工程设计和过程中使用。

更新日期:2020-02-22
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