【摘要】 本文通过将差分方程变为微分方程求解给出带有消耗量的流体流动并联系统流量分布的计算公式,可直接求得流量分布的不均匀度、最小与最大流量值等重要数据.文中列举了顺流与逆流并联系统的流量分布曲线.更多还原

【Abstract】 A method for the mathematical solution of the flow distribution in a parallel fluid flow system with consumption in branch pipes has been developed.Assume that the flow restriction coefficients and the consumption in any branch pipe are the same, and that the flow is laminar and the variation of hydrodynamic pressure is neglected, then the flow in the branch pipe can be expressed in the following form.(gi+1 - gi)- (gi - gi-1) = 2R’gi - R’go By transforming it into differential equationd2y/dx2-2R’y =0 wherey=gi-1/2 go, x = i we obtain the general solution as follows:gi = C1e where the constants of integration C1, C2 can be directly calculated from the following formulas:C1 = (DB - FG) / (EB - FA)C2=(DB-C1EB)/(FB) whereD=R’(n-1) for the downstream-system (the system with same direction at its entry and exit). D=R’(n-1) (2-k) for the upstream-system (the system with oppositedirection at its entry and exit).The results obtained by using the usual method and the new method are the same, while the latter is much more simple and accurate.更多还原