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 = 2.5 m/sD = 100 mmν = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 10⁻⁶ m²/s) flows at a mean velocity of 2.5 m/s through a pipe with an inside diameter of 100 mm. Find the Reynolds number Re.

V = 2.5 m/sD = 100 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 2 L/sD = 50 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 50 mm at 2 L/s. Find the Reynolds number Re.

Q = 2 L/sD = 50 mmν = 1.31 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 6 L/sD = 50 mmL = 150 mf = 0.022

Water flows at 6 L/s through a pipe 150 m long with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the friction head loss hf.

Q = 6 L/sL = 150 mD = 50 mmf = 0.022g = 9.81 m/s²
hf = m
4.Medium
Q = 2 L/sD = 50 mmL = 300 mf = 0.028

Water flows at 2 L/s through a pipe 300 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 = 2 L/sL = 300 mD = 50 mmf = 0.028g = 9.81 m/s²
hf = m
5.Hard
K = 5Δz = 26 mL = 150 m, D = 300 mm, f = 0.0254× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.025. The water surface of the upper reservoir is 26 m above that of the lower one. The minor losses are a square-edged entrance (K = 0.5), 4 bends (K = 0.3 each), a valve (K = 5) and the exit into the lower reservoir (K = 1.0). Use g = 9.81 m/s². Find the flow rate Q in L/s.

Δz = 26 mL = 150 mD = 300 mmf = 0.025Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5Kexit = 1.0
Q = L/s
6.Hard
K = 2Δz = ?L = 150 m, D = 250 mm, f = 0.0154× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 250 mm and a Darcy friction factor f = 0.015. 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 60 L/s?

Q = 60 L/sL = 150 mD = 250 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 190840
  2. 2. Re = 38878
  3. 3. hf = 31.41 m
  4. 4. hf = 8.884 m
  5. 5. Q = 355.2 L/s
  6. 6. Δz = 1.043 m

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