Investigation of the Newtonian fluids flow in circular horizontal tubes at low inlet pressures

V. I. Semikhin, R. V. Malyugin, E. I. Elina, B. V. Grigoriev, A. Elin
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Abstract

The issues of increasing hydrodynamic efficiency, improving the operational and technical characteristics of various apparatus and devices used in the fi eld of heat and mass transfer, as well as ensuring the required regime and flowow conditions of liquids of different viscosities do not lose their relevance. To solve these issues, in addition to studying the nature of the flowow of various liquids in round horizontal tubes (capillaries), it is necessary to determine the conditions when the flowow of liquid in capillaries and round tubes of small diameter is laminar and can be described by the Poiseuille equation. Experimental data on determining water flow ow through horizontal round tubes of various diameters are presented. Determining the patterns and features of such flow ows is mostly aimed at increasing hydrodynamic efficiency, improving the operational and technical characteristics of various apparatus and devices, as well as ensuring the required flow ow regime and conditions. Experimental data on determining the flow ow rate of water through horizontal tubes of circular cross-section with different diameters are presented in the article. The dependence of the volumetric flow ow rate on the pressure drop has been determined; it has been shown that the main parameters that determine the nature of the flow ow of liquids in horizontal tubes are the tube radius and the dynamic viscosity of the liquid. The flow ow of distilled water in tubes with diameters of 0.95, 1.6 and 2.0 mm at an overpressure of 0.266 kPa to 4 kPa is considered. It is shown that the dependence of the volumetric flow ow rate on the excess pressure remains linear at 0.95 mm in the entire considered pressure range. An increase in the tube radius increases the likelihood of velocity flow uctuations and the appearance of a radial velocity component, i.e. the occurrence of elements of a turbulent structure. In this regard, with tube diameters of 1.6 and 2.0 mm, a deviation of the water flow ow regime from the laminar character was established at pressures of more than 1.3 kPa and 1 kPa, respectively. The dependence of the volumetric flow ow rate on pressure for a 40 % aqueous solution of CaCl2, transformer, transmission and engine oils with dynamic viscosity coefficients from 0.002 Pa·s to 0.182 Pa·s remains linear up to pipe diameters of 5–6 mm. The experimental results are shown in the form of a nomogram of the dependence of the coefficient K* on the tube radius at different values of the viscosity coefficient. The results of studies of liquids of various viscosities are presented in the form of a nomogram of the dependence of the ratio of the radius of the tube to the fourth power to the viscosity of the liquid on the radius of the tube. The analysis of which makes it possible to predict the nature of the flow ow of the investigated liquid at the given values of the tube radius and the dynamic viscosity coefficient. Heat exchange devices for the design of which the presented results can be used include a variety of radiators that include tubes through which coolant circulates.
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低入口压力下牛顿流体在圆形水平管中的流动研究
提高流体力学效率、改进传热和传质领域中使用的各种仪器和装置的操作和技术特性,以及确保不同粘度液体所需的状态和流动条件,这些问题都具有现实意义。为了解决这些问题,除了研究各种液体在水平圆管(毛细管)中流动的性质外,还必须确定液体在毛细管和小直径圆管中流动的层流条件,这些条件可以用普瓦休伊方程来描述。本文介绍了确定水流通过不同直径水平圆管的实验数据。确定这种水流的模式和特征主要是为了提高流体力学效率,改善各种仪器和设备的运行和技术特性,以及确保所需的水流状态和条件。文章介绍了确定水流过不同直径圆形截面水平管的流速的实验数据。测定了体积流量与压降的关系;结果表明,决定液体在水平管中流动性质的主要参数是管子半径和液体的动态粘度。在 0.266 kPa 至 4 kPa 的超压条件下,考虑了蒸馏水在直径为 0.95、1.6 和 2.0 mm 的管道中的流动性。结果表明,在所考虑的整个压力范围内,0.95 毫米直径的体积流量与过剩压力保持线性关系。管道半径的增加会增加流速波动和径向速度分量的出现,即湍流结构元素的出现。在这方面,当管道直径分别为 1.6 毫米和 2.0 毫米时,当压力超过 1.3 千帕和 1 千帕时,水流状态就会偏离层流特性。对于 40% 的 CaCl2 水溶液、动态粘度系数从 0.002 Pa-s 到 0.182 Pa-s 的变压器油、传动油和发动机油,其体积流量与压力的关系在管道直径为 5-6 mm 时保持线性。实验结果以符号图的形式显示了不同粘度系数值下系数 K* 与管道半径的关系。对不同粘度液体的研究结果以管道半径与液体粘度四次方之比与管道半径关系的名义图的形式呈现。通过对该图的分析,可以预测在给定的管子半径和动态粘度系数值下所研究液体的流动性质。在设计热交换设备时,可以使用所提供的结果,包括各种散热器,其中包括冷却剂循环通过的管子。
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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