Chapter 12, Problem 11P

Chemical/Bio Engineering

A peristaltic pump delivers a unit flow $\left(Q_1\right)$ of a highly viscous fluid. The network is depicted in Fig. P12.11. Every pipe section has the same length and diameter. The mass and mechanical energy balance can be simplified to obtain the flows in every pipe. Solve the following system of equations to obtain the flow in every pipe.

$Q_3+2Q_4-2Q_2=0$

$Q_5+2Q_6-2Q_4=0$

$3Q_7-2Q_6=0$

$Q_1=Q_2+Q_3$

$Q_3=Q_4+Q_5$

$Q_5=Q_6+Q_7$

FIGURE P12.11