Head Loss Calculation in Pipe Network System

What is the head loss due to friction in a pipe network system?

Calculate the friction loss (ft) in a pipe network system with 1,800 ft of 8-in. pipe and a pump discharge rate of 600 gpm.

Answer:

The friction loss (ft) is most nearly 15.

When calculating the head loss due to friction in a pipe network system, we can use the formula:

h_f = [10.44 • L • Q^(1.85)] / (C^(1.85) • D^4.8655)

Where:

h_f = head loss due to friction in feet

L = length of pipe in feet

Q = flow rate of water in gallons per minute (gpm)

C = Hazen-Williams roughness coefficient

D = diameter of the pipe in inches

Given values:

L = 1,800 ft

Q = 600 gpm

C = 120

D = 8 inches

Plugging these values into the formula, we get:

h_f = [10.44 • 1800 • 600^(1.85)] / (120^(1.85) • 8^4.8655)

After calculation, the friction loss (ft) is approximately 15. Therefore, the correct answer is option A.