Question

A water towers lowest point is 405 ft and the main line is 6 feet below the ground. The ground elevation is at 276 ft. The main line travels 2.9 miles. The pipe will travel through the following flanged fittings: 4 90o elbows and 18 line flow tees. The pipe is 10in in diameter and made of cast iron (100). The flow rate is 115 gmp. (Final answer should be rounded to the hundredths) What is the head loss

Answer 1

Answer:

The head loss of the pipeline system is 2.85ft

Explanation:

To obtain the head loss we will use the Hazen-Williams Formula (empiric formula), which is:

$h_{s} =0.002083 \times L \times (\frac{100}{f} )^{1.85} \times (\frac{GMP^{1.85} }{D^{4.8655} } )$

$h_{s}$ is the head loss in fit, L is the total equivalent length of the pipeline in fit, f is the friction coefficient, GMP is the flow rate in gallons per minute and D is the pipe in diameter.

For this formula D, f and GMP already know. To obtain the total equivalent length, we use the total length of the main pipeline and a chart with the equivalent length of each of the flanged fittings. we don´t consider the hight of the water tower because vertical pipelines don´t affect the head loss. Therefore:

$L=L_{pipe line} +4 \times L_{90º el} +18 \times L_{T} = 15462.92 ft$

With all the data we can obtain the head loss.