计算隐式摩阻系数方程数值解的简便方法  

Simple and Convenient Methods to Solve Implicit Expression of Friction Factor Equations

作　　者：王小尚[1] 苑伟民[2] 

机构地区：[1]中国石化青岛液化天然气有限责任公司,山东青岛266400 [2]中国石化天然气分公司广西液化天然气工程项目部,广西北海536000

出　　处：《石油工程建设》2014年第5期70-72,共3页Petroleum Engineering Construction

基　　金：中国石油化工股份有限公司LNG资助项目(702081B0712)

摘　　要：摩阻系数是石油化工及长输管道系统设计的关键参数之一。文章介绍了计算粗糙管紊流状态时摩阻系数的典型方法:Colebrook-White方程、Zegarola方程和GERG方程,它们是摩阻系数λ的隐式方程,使用迭代算法计算耗时过多。为此研究了利用几种主要数值计算软件的求解方法,最终表明采用MATLAB的精度控制函数(vpa函数),程序编写简单,运行速度快,且可以设置任意位数的精度。Friction factor is an important parameter in petrochemical and long- distance pipeline design. The equations of Colebrook- White,Zegarola and GERG are commonly used to compute the friction factor of turbulent flow in rough pipeline. But these equations are implicit for friction factor λ,and need a great deal of time and effort in using iterative algorithm to solve. The refore after studying some solutions to these problems,the precision controlfunction i.e. vpa function of MATLAB programming software is chosen due to its simple programming with one core sentence of source code,quickcomputing speed and high precision.

关 键 词：摩阻系数 隐式方程 Colebrook-White方程 Zegarola方程 GERG方程 数值方法 迭代 

分 类 号：TE973[石油与天然气工程—石油机械设备]