Pipe friction & head loss worksheet with answers

Free printable Pipe friction & head loss worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
V = 1.8 m/sD = 40 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows at a mean velocity of 1.8 m/s through a pipe with an inside diameter of 40 mm. Find the Reynolds number Re.

V = 1.8 m/sD = 40 mmν = 0.801 × 10⁻⁶ m²/s
Re =
2.Easy
V = 2.1 m/sD = 200 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows at a mean velocity of 2.1 m/s through a pipe with an inside diameter of 200 mm. Find the Reynolds number Re.

V = 2.1 m/sD = 200 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 4 L/sD = 50 mmL = 500 mf = 0.028

Water flows at 4 L/s through a pipe 500 m long with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the friction head loss hf.

Q = 4 L/sL = 500 mD = 50 mmf = 0.028g = 9.81 m/s²
hf = m
4.Medium
Q = 40 L/sD = 150 mmL = 50 mf = 0.015

Water flows at 40 L/s through a pipe 50 m long with an inside diameter of 150 mm. Use the Darcy friction factor f = 0.015 and g = 9.81 m/s². Find the friction head loss hf.

Q = 40 L/sL = 50 mD = 150 mmf = 0.015g = 9.81 m/s²
hf = m
5.Hard
K = 2Δz = ?L = 200 m, D = 100 mm, f = 0.0153× bend (K = 0.3)

Two open reservoirs are joined by a pipe 200 m long with an inside diameter of 100 mm and a Darcy friction factor f = 0.015. The minor losses are a square-edged entrance (K = 0.5), 3 bends (K = 0.3 each), a valve (K = 2) and the exit into the lower reservoir (K = 1.0). Use g = 9.81 m/s². What difference in water level Δz between the reservoirs gives a flow rate of 20 L/s?

Q = 20 L/sL = 200 mD = 100 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2Kexit = 1.0
Δz = m
6.Hard
K = 10Δz = ?L = 400 m, D = 200 mm, f = 0.0153× bend (K = 0.3)

Two open reservoirs are joined by a pipe 400 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.015. The minor losses are a square-edged entrance (K = 0.5), 3 bends (K = 0.3 each), a valve (K = 10) and the exit into the lower reservoir (K = 1.0). Use g = 9.81 m/s². What difference in water level Δz between the reservoirs gives a flow rate of 100 L/s?

Q = 100 L/sL = 400 mD = 200 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 89888
  2. 2. Re = 368421
  3. 3. hf = 59.23 m
  4. 4. hf = 1.306 m
  5. 5. Δz = 11.37 m
  6. 6. Δz = 21.9 m

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