A rough pipe of 0.75 m diameter, 450 m length and average height of roughness 0.35 mm carries water with a velocity of 4.5 m/s. If the coefficient if friction for the pipe is given as:Where, r = radius of pipek = average height of roughnessg = 9.81 m/s2andthetasym; = kinematic viscosity of water = 0.95 andtimes; 10-6m2/sThen, the power required to maintain this flow will be ____kw.Correct answer is between '3680,3700'. Can you explain this answer?

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A rough pipe of 0.75 m diameter, 450 m length and average height of roughness 0.35 mm carries water with a velocity of 4.5 m/s. If the coefficient if friction for the pipe is given as:

Where, r = radius of pipe

k = average height of roughness

g = 9.81 m/s²

ϑ = kinematic viscosity of water = 0.95 × 10^-6 m²/s

Then, the power required to maintain this flow will be ____kw.

Correct answer is between '3680,3700'. Can you explain this answer?

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A rough pipe of 0.75 m diameter, 450 m length and average height of ro...

Concept:

Power required to maintain the above flow is:

Q = Rate of flow (m³/s)

ρ = density of flowing fluid (kg/m³)

h_f = head loss due to friction (m)

D = Diameter of pipe

V = velocity of the flowing fluid

f = friction factor = 4f^’

Calculation:

Using the given relation,

f^’ = 0.07631

f = 0.3053

Check for the type of flow

Flow is turbulent

h_f = 189.06 m

Q = A × V

Q = 1.989 m³/sec

P = 3688.95 kW

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A rough pipe of 0.75 m diameter, 450 m length and average height of roughness 0.35 mm carries water with a velocity of 4.5 m/s. If the coefficient if friction for the pipe is given as:Where, r = radius of pipek = average height of roughnessg = 9.81 m/s2ϑ = kinematic viscosity of water = 0.95 × 10-6m2/sThen, the power required to maintain this flow will be ____kw.Correct answer is between '3680,3700'. Can you explain this answer?

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