Application of Hazen Williams Equation: Calculating Unit Headloss in a PVC Pipeline
What is the unit headloss (ft/1,000 ft) expected in a 16-in diameter of a PVC pipeline (C = 130) carrying 2700 gpm?
The unit headloss expected in a 16-inch diameter PVC pipeline carrying 2700 gpm is approximately 938.6 ft/1,000 ft.
To calculate the unit headloss (hL) in ft/1,000 ft using the Hazen-Williams equation, we can substitute the given values into the equation:
hL = 10.67 * (Q/C)^1.852 * D^4.87
Given:
Converting the diameter from inches to feet:
D = 16 inches * (1 ft/12 inches) = 1.33 ft
Substituting the values into the equation:
hL = 10.67 * (2700/130)^1.852 * (1.33)^4.87
Calculating the unit headloss:
hL = 10.67 * (20.77)^1.852 * (1.33)^4.87
Simplifying the equation:
hL ≈ 10.67 * 20.77 * 1.33^4.87
Calculating the value:
hL ≈ 10.67 * 20.77 * 4.47
hL ≈ 938.6 ft/1,000 ft
Therefore, the unit headloss expected in a 16-inch diameter PVC pipeline carrying 2700 gpm is approximately 938.6 ft/1,000 ft.