Accurate Explicit Equations for the Determination of Pipe Diameters

C. Babajimopoulos, G. Terzidis
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引用次数: 10

Abstract

The determination of diameter in p ipe flow problems requires the use of diagrams or iterat ive solutions of the Colebrook - White equation. Diagrams are inaccurate because of reading errors and are impossible to use when the whole problem is going to be solved by a co mputer. Iteration type solutions can be very time consuming when large water distribution networks are involved. In this paper, accurate explicit equations for the determination of pipe diameter are developed. Two equations are presented, a simp le and a more com p lex one. The maximu m relative errors in the computation of the diameter, D, for 4x10 3 ≤ Re ≤10 8 and 10 -5 ≤ e/D ≤5x10 -2 are 0.36% and 5.65x10 -3 % respectively. It was found that the
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确定管径的精确显式方程
管道流动问题中直径的确定需要使用图或Colebrook - White方程的迭代解。由于阅读错误,图表是不准确的,当整个问题要用计算机解决时,图表是不可能使用的。当涉及大型配水网络时,迭代类型的解决方案可能非常耗时。本文建立了确定管径的精确显式方程。给出了两个方程,一个简单的方程和一个复杂的方程。对于4 × 10 3≤Re≤10 8和10 -5≤e/D≤5 × 10 -2,计算直径D的最大相对误差分别为0.36%和5.65 × 10 -3 %。人们发现
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