Find the total friction loss in 100 mm diameter G.I. pipe discharging 4 L/s ina total length of 300 m. Assume pipe roughness, ε = 0.20 m. (hint: use the nomogram, use the head loss equation(darcy-weisbach equation) to calculate, hf and moody's diagram to estimate friction factor, f and compare the result.)

Respuesta :

Answer:

total friction is 0.9903 m

Explanation:

given data

diameter  D = 100 mm = 0.1 m

discharge Q = 4 L/s = 0.004 m³/s

total length L = 300 m

roughness ∈ = 0.2 mm

solution

we get here  total friction loss hf that is express as

hf = [tex]\frac{f*L*V^2}{2g*D}[/tex]   ......................1

first we get here Reynold's no that is

Re = [tex]\frac{V*D}{\gamma}[/tex]    ................2

Re = [tex]\frac{(\frac{0.004}{\pi*0.1^2/4})*0.1}{10^{-6}}[/tex]

Re =  50900

so here f is 0.025  by moody diagram

so put all value in equation 1 we get  

hf = [tex]\frac{0.025*300*0.509^2}{2*9.81*0.1}[/tex]    

hf = 0.9903 m  

so total friction is 0.9903 m