Answered: Use the Hazen-Williams Equation to…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Use the Hazen-Williams Equation to calculate the flow rate of water in a 4.5-km long, 4-m diameter riveted steel pipeline in excellent condition, if the head loss is 30 m

Expert Solution

Step 1

Given:

The length of the pipe is 4.5 km.

The diameter of the pipe is 4 m.

The head loss is 30 m.

Step 2

The expression for Hazen Williams equation is given by,

$V = k C {(D / 4)}^{0.63} S^{0.54} . . . (1)$

Here, V is the velocity, C is the Hazen-Williams constant, k is a unit conversion factor and S is the energy slope.

The energy slope is calculated as,

$\begin{array}{rcl} S & = & \frac{h_{f}}{L} \\ = & \frac{30 m}{4.5 km \times \frac{10^{3} m}{1 km}} \\ = & 0.0067 \end{array}$ ]

The Hazen-William constant is C=120 and the unit conversion factor is k=0.85.

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