A peristaltic pump delivers a unit flow (Q 1 ) of a highly viscous fluid. The network

Question:

A peristaltic pump delivers a unit flow (Q₁) of a highly viscous fluid. The network is depicted in Figure. 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 stream.

Q₃ + 2Q₄ ? 2Q₂ = 0

Q₅ + 2Q₆ ? 2Q₄ = 0

3Q₇ + 2Q₆ = 0