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
Q = 60 L/sD = 150 mmν = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 10⁻⁶ m²/s) flows through a pipe with an inside diameter of 150 mm at 60 L/s. Find the Reynolds number Re.

Q = 60 L/sD = 150 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
V = 1.7 m/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 10⁻⁶ m²/s) flows at a mean velocity of 1.7 m/s through a pipe with an inside diameter of 40 mm. Find the Reynolds number Re.

V = 1.7 m/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s
Re =
3.Medium
V = 1.9 m/sD = 250 mmL = 800 mf = 0.015

Water flows at a mean velocity of 1.9 m/s through a pipe 800 m long with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.015 and g = 9.81 m/s². Find the friction head loss hf.

V = 1.9 m/sL = 800 mD = 250 mmf = 0.015g = 9.81 m/s²
hf = m
4.Medium
Q = 100 L/sD = 250 mmL = 500 mf = 0.02

Water flows at 100 L/s through a pipe 500 m long with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.02 and g = 9.81 m/s². Find the friction head loss hf.

Q = 100 L/sL = 500 mD = 250 mmf = 0.02g = 9.81 m/s²
hf = m
5.Hard
K = 2Δz = ?L = 150 m, D = 150 mm, f = 0.0254× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 150 mm and a Darcy friction factor f = 0.025. The minor losses are a square-edged entrance (K = 0.5), 4 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 50 L/s?

Q = 50 L/sL = 150 mD = 150 mmf = 0.025Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2Kexit = 1.0
Δz = m
6.Hard
K = 2Δz = ?L = 200 m, D = 200 mm, f = 0.024× bend (K = 0.3)

Two open reservoirs are joined by a pipe 200 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.02. The minor losses are a square-edged entrance (K = 0.5), 4 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 80 L/s?

Q = 80 L/sL = 200 mD = 200 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 388775
  2. 2. Re = 51908
  3. 3. hf = 8.832 m
  4. 4. hf = 8.461 m
  5. 5. Δz = 12.12 m
  6. 6. Δz = 8.164 m

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