Abstract: For an incompressible fluid flowing in a line of pipes and pumps in series, Bernoullis equation can be effectively applied to solve any particular flow problem. When the pipe system consists of a number of complicated branches and cycles, a systematic method for the analysis of the flow system is yet in need. In this article, by transforming the general formula of the pressure drop in pipes into the form, of linear element with respect to flow rate, and further, by introducing the idea of a "complete stream", a set of simultaneous linear equations can be obtained. Such equations can then be represented in the form of matrix, which, besides presenting the equations in a regular form, also makes possible the solution by using digital computers.

摘要： 对于不可压縮流体在一条串联管路上流动的計算,伯努利方程的应用是十分广泛而有效的。但对于具有支路网絡管道体系中流体輸送的問題,还比較缺少一套系統的分析原理和方法。 在本文中,将一般导管阻力的計算公式: 改写成对体积流量线性元件的形式:幷且引入了“全路”的槪念,即得到一組线性方程式,可以用来描写复杂管路体系的一般流动問题。把此方程組用矩陣形式表达出来,不但使列写方程組的过程中有一套明确而简便的规则可循,不易出错,而且还能便于运用电子计算机解方程组。