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A 0.20 m diameter pipe 20 km long transports oil at a flow rate of 0.01 m3⁄s. Calculate power required to maintain flow if dynamic viscosity and density of oil is 0.08 Pas and 900 kg⁄m3 respectively.
  • a)
    4.064 kW
  • b)
    3.074 kW
  • c)
    5.064 kW
  • d)
    4.074 kW
Correct answer is option 'D'. Can you explain this answer?
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A 0.20 m diameter pipe 20 km long transports oil at a flow rate of 0....
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A 0.20 m diameter pipe 20 km long transports oil at a flow rate of 0....
Given data:
Diameter of pipe, D = 0.20 m
Length of pipe, L = 20 km = 20000 m
Flow rate of oil, Q = 0.01 m³/s
Dynamic viscosity of oil, μ = 0.08 Pa.s
Density of oil, ρ = 900 kg/m³

Formula used:
Reynolds number, Re = (ρVD)/μ
Friction factor, f = 0.25/[(log(e/D/3.7))^2]
Head loss, hL = f(L/D)(V²/2g)
Power required, P = ρQhLg

Calculation:
1. Reynolds number:
V = Q/A = Q/((πD²)/4) = (4Q)/(πD²) = (4×0.01)/(π×0.20²) = 1.2736 m/s
Re = (ρVD)/μ = (900×0.20×1.2736)/0.08 = 35820.8 (≈ 35821)

2. Friction factor:
e/D = 0.0002/0.20 = 0.001
f = 0.25/[(log(e/D/3.7))^2] = 0.25/[(log(0.001/3.7))^2] = 0.018

3. Head loss:
g = 9.81 m/s²
hL = f(L/D)(V²/2g) = 0.018×(20000/0.20)×(1.2736²/2×9.81) = 2025.57 m

4. Power required:
P = ρQhLg = 900×0.01×2025.57×9.81 = 177315.61 W (≈ 177.32 kW)
P = 177.32/1000 = 0.1773 MW (≈ 0.177 MW)
P = 4.074 kW (approx.)

Therefore, the power required to maintain the flow of oil is 4.074 kW (approx.). Hence, option (d) is the correct answer.
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A 0.20 m diameter pipe 20 km long transports oil at a flow rate of 0.01 m3⁄s. Calculate power required to maintain flow if dynamic viscosity and density of oil is 0.08 Pas and 900 kg⁄m3 respectively.a) 4.064 kWb) 3.074 kWc) 5.064 kWd) 4.074 kWCorrect answer is option 'D'. Can you explain this answer?
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A 0.20 m diameter pipe 20 km long transports oil at a flow rate of 0.01 m3⁄s. Calculate power required to maintain flow if dynamic viscosity and density of oil is 0.08 Pas and 900 kg⁄m3 respectively.a) 4.064 kWb) 3.074 kWc) 5.064 kWd) 4.074 kWCorrect answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A 0.20 m diameter pipe 20 km long transports oil at a flow rate of 0.01 m3⁄s. Calculate power required to maintain flow if dynamic viscosity and density of oil is 0.08 Pas and 900 kg⁄m3 respectively.a) 4.064 kWb) 3.074 kWc) 5.064 kWd) 4.074 kWCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 0.20 m diameter pipe 20 km long transports oil at a flow rate of 0.01 m3⁄s. Calculate power required to maintain flow if dynamic viscosity and density of oil is 0.08 Pas and 900 kg⁄m3 respectively.a) 4.064 kWb) 3.074 kWc) 5.064 kWd) 4.074 kWCorrect answer is option 'D'. Can you explain this answer?.
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