Analytical equation for outflow along the flow in a perforated fluid distribution pipe.

Analytical equation for outflow along the flow in a perforated fluid distribution pipe.
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多孔流体分配管中沿流动方向流出的解析方程

DOI:
10.1371/journal.pone.0185842
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发表时间:
2017
期刊:
影响因子:
3.7
通讯作者:
Jin J
Jin J
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Liu H;Zong Q;Lv H;Jin J

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多孔流体分配管已广泛应用于农业、给排水、通风、化工等部门。利用动量守恒方法,在一定坡度条件下,建立了变交换系数、变摩擦系数变质量流的动量方程。分析了变动量交换系数和变阻力系数沿着流动的变化规律,给出了动量交换系数的函数。根据速度的幂函数分布,求解了不同雷诺数下变质量流的动量方程。该解析解包含压力、重力、摩阻和动量分量,反映了各种因素对多孔管沿着压力分布的影响。将该解析解的计算结果与Jin等1984和Wang等2001研究的实验值进行了比较,平均误差分别为8.2%、3.8%和2.7%,表明变质量动量方程的解析解与实验结果定性和定量一致。
Perforated fluid distribution pipes have been widely used in agriculture, water supply and drainage, ventilation, the chemical industry, and other sectors. The momentum equation for variable mass flow with a variable exchange coefficient and variable friction coefficient was developed by using the momentum conservation method under the condition of a certain slope. The change laws of the variable momentum exchange coefficient and the variable resistance coefficient along the flow were analyzed, and the function of the momentum exchange coefficient was given. According to the velocity distribution of the power function, the momentum equation of variable mass flow was solved for different Reynolds numbers. The analytical solution contains components of pressure, gravity, friction and momentum and reflects the influence of various factors on the pressure distribution along the perforated pipe. The calculated results of the analytical solution were compared with the experimental values of the study by Jin et al. 1984 and Wang et al. 2001 with the mean errors 8.2%, 3.8% and 2.7%, and showed that the analytical solution of the variable mass momentum equation was qualitatively and quantitatively consistent with the experimental results.
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