# Pipe Diameter Calculation: Hazen-Williams Formula

## How to calculate the diameter of a cast iron pipe using the Hazen-Williams Formula?

Given the velocity of flow is 1.2 m/s and the head loss per km length of pipe is 5m, what is the diameter of the pipe using the Hazen-Williams Formula?

## Calculation Result:

The diameter of the pipe using the Hazen-Williams Formula is 0.266m.

To calculate the diameter of a cast iron pipe using the Hazen-Williams Formula, we can follow the steps as explained below:

## Steps to Calculate Diameter:

1. Start with the formula Q = (C × D^2.63 × S^0.54) / 1000, where Q is the flow rate, C is the Hazen-Williams coefficient, D is the diameter of the pipe, and S is the head loss per km.

2. Since we know the velocity of flow V = 1.2 m/s and S = 5/1000 = 0.005, we can simplify the formula to D = [(C × D^2.63 × S^0.54) / 1000 × V]^(1/2).

3. Substitute the given values into the formula: D = [(120 × D^2.63 × 0.005^0.54) / 1000 × 1.2]^(1/2).

4. Calculate the diameter using the formula and you will get D = 0.266 m.

## Conclusion:

Therefore, based on the calculations using the Hazen-Williams Formula, the diameter of the cast iron pipe is determined to be 0.266m.