Respuesta :
Answer:
Minimum standard diameter for the PVC pipe = 14.26 inches
Minimum standard diameter for the steel pipe = 14.70 inches
Explanation:
Head loss = 6/1000...................................................(1)
Head loss = hf/l
[tex]Head loss = 10.44Q^{1.85} /C^{1.85} D^{4.8655}[/tex] ............................(2)
Q = 2500 gal/min
a) Minimum standard diameter for PVC
C for PVC = 130
Equating (1) and (2) and putting C = 130
[tex]6/1000 = 10.44* 2500^{1.85} /[130^{1.85} * D^{4.8655} ]\\D^{4.8655} = 10.44* 2500^{1.85} /[0.006*130^{1.85}]\\D = [10.44* 2500^{1.85} /[0.006*130^{1.85}]]^{1/4.8655} \\D = 14.26 inches[/tex]
b) Minimum standard diameter for steel
C for steel = 120
Equating (1) and (2) and putting C = 120
[tex]6/1000 = 10.44* 2500^{1.85} /[120^{1.85} * D^{4.8655} ]\\D^{4.8655} = 10.44* 2500^{1.85} /[0.006*120^{1.85}]\\D = [10.44* 2500^{1.85} /[0.006*120^{1.85}]]^{1/4.8655} \\D = 14.70 inches[/tex]
