Respuesta :
The power must be supplied to the water to effect this discharge is 28174.32 kW.
Why is Reynolds number used?
The ratio of viscous forces to inertial forces is known as the Reynolds number. A dimensionless number called the Reynolds number is used to group fluid systems where the influence of viscosity plays a significant role in regulating the velocities or the flow pattern of a fluid.
Discharge = Q = 32 m³/s
Velocity of flow=V=Q/A = 32/( π(1.5)²/4)= 18.11 m/s
Reynold's no is given by
Re = VD/v = (18.11)(1.5)/(1.31x10⁻⁶) = 20736641.22
For steel pipe
Roughness = e = 0.045 mm
Relative roughness = E= e/D= (0.045x10⁻³)/1.5=0.00003
Friction factor from Moody's diagram is
f = 0.00988
Apply Bernoulli's theorem b/w top of left reservoirs and exit of pipe
A - denote left reservoir and B- denote exit of pipe
Pa/y + V₂²/2g + Za + hp = Pb/ γ+Vb²/2g + Zb + hf
Where
Pa= Pb=0
Va= 0, Vb = V = 18.11 m/s
Za = (100-95) = 5 m, Zb=(140-95) = 45 m
Frictional head loss =hf = flV²/2gD= (0.00988x300x18.11²)/(2x9.81x1.5)
Frictional head loss = hf = 33.03 m
hp = pump head
Putting values
0+0+5+hp = 0 +18.11²/(2x9.81) +45 +33.03
=> hp = 89.75 m
Power that must be supplied is given by
P = γQhp
P = 9.81x32x89.75
P = 28174.32 kW.
To know more about power visit:
https://brainly.com/question/13787582
#SPJ4
