How to Calculate Discharge in a Pipe Using Hazen-William Equation?

What is the discharge in the pipe in terms of D using Hazen-William equation?

For a pipe with diameter D made with smooth concrete and a slope of 0.3 for the energy grade line, what would be the discharge in the pipe in terms of D using Hazen-William equation?

Select one: O a. 31.6 D^2.63 O b. 40.2 D^2.63 O c. 0.032 D^2

Final Answer:

The discharge in the pipe in terms of D using the Hazen-Williams equation is 31.6 D^2.63.

To calculate the discharge in the pipe using the Hazen-Williams equation, we need to follow these steps:

How to Calculate the Discharge in the Pipe Using Hazen-Williams Equation

The formula to calculate the discharge (Q) in the pipe is: Q = 0.849 * C * D^2.63 * S^0.54, where:
Q = Discharge in the pipe
C = Hazen-Williams coefficient
D = Diameter of the pipe
S = Slope of the energy grade line

In this case, the pipe is made of smooth concrete, so we need to use the Hazen-Williams coefficient for smooth concrete, which is typically around 140. Given that the slope of the energy grade line is 0.3, and we want to express the discharge in terms of D, we can substitute these values into the equation:

Q = 0.849 * 140 * D^2.63 * 0.3^0.54

After simplifying the equation, we get: Q = 31.6 D^2.63

Therefore, the discharge in the pipe in terms of D using the Hazen-Williams equation is 31.6 D^2.63.