Question

# The solution of flow of water in a pipe network is shown in Fig. Compute: (a) The hydraulic grade line throughout the system. (b) The pressure at each node.

Solution

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### Information

In this exercise, we are asked to solve for the hydraulic grade line $H$ and pressure $p$ of each node in the given pipe network system.

The given elevation of each node are:

• $z_O=100\ \mathrm{m}$
• $z_A=10\ \mathrm{m}$
• $z_B=20\ \mathrm{m}$
• $z_C=5\ \mathrm{m}$
• $z_D=0\ \mathrm{m}$

The given flowrates are:

• $Q_3=170\ \mathrm{\dfrac{L}{s}}$
• $Q_4=50\ \mathrm{\dfrac{L}{s}}$

The given modified resistance coffiecients are:

• $\bar R_1=20\ \mathrm{\dfrac{s^2}{m^5}}$
• $\bar R_2=51\ \mathrm{\dfrac{s^2}{m^5}}$
• $\bar R_3=280\ \mathrm{\dfrac{s^2}{m^5}}$
• $\bar R_5=310\ \mathrm{\dfrac{s^2}{m^5}}$