Answer:
d = 70.5 mm
Explanation:
given,
length of pipe = 305 m
discharge rate = 150 gal/min
pipe diameter = ?
1 gal/min = 6.30902 × 10⁻⁵ m³/s
150 gal/min = 150 × 6.30902 × 10⁻⁵ m³/s
= 9.46 × 10⁻³ m³/s
[tex]h = \dfrac{flv^2}{2gd}[/tex]
[tex]h = \dfrac{flv^2}{2gd}[/tex]
Q = A V
[tex]h = \dfrac{fl(\dfrac{Q}{A})^2}{2gd}[/tex]
[tex]h = \dfrac{fl(\dfrac{Q}{\dfrac{\pi}{4}d^2})^2}{2gd}[/tex]
[tex]h= \dfrac{8flQ^2}{\pi^2gd^5}[/tex]
f = 0.048 from moody chart using P/D = 0.00015
[tex]\dfrac{1}{d^5}= \dfrac{6.1\times \pi^2\times 9.8}{8\times 0.048\times 305\times 0.00946^2}[/tex]
d = 70.5 mm
Diameter of the pipe is equal to 70.5 mm
