# Hazen-Williams Formula : Find the Diameter of a Pipe

The length of cast-iron pipe is to be 4200 ft., and the head causing flow is to be 12.6ft. After the pipe has been in service 5 years, it is expected to discharge water at a rate equal to 3.2 cfs. Using a Hazen-Williams Formula Chart in which C = 160 What is the diameter of the pipe? 16 in., 12 in., 14 in., 10 in.

The head flow per thousand feet is 3. =12.6/4200 = .003x 1000

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#### Solution Preview

Several ways exist to solve this problem utilizing the Hazen-Williams formulas. One way is to solve them directly by plugging in and solving the formulas. Another way is to utilize Hazen-Williams tables that exist for various diameters of pipe listing flow, and head loss. Finally you can use a Nomograph to read off the desired values by first plotting the given values. I am not clear if by "chart" they are asking to use the nomograph or table. So I will work out both for you.

Nomograph Method

First, you need to acquire a Hazen-Williams formula nomograph. You can find a copy of this chart if you do not already have one in the Mechanical Engineering Reference Manual by Lindeburg.

Step 1: Plot ...

#### Solution Summary

The diameter of a pipe is found using the Hazen-Williams formula. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.