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 = 4 L/sD = 40 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows through a pipe with an inside diameter of 40 mm at 4 L/s. Find the Reynolds number Re.

Q = 4 L/sD = 40 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
V = 0.75 m/sD = 200 mmρ = 880 kg/m³, μ = 0.04 Pa·s

Hydraulic oil (ρ = 880 kg/m³, μ = 0.04 Pa·s) flows at 0.75 m/s through a pipe with an inside diameter of 200 mm. Find the Reynolds number Re.

ρ = 880 kg/m³μ = 0.04 Pa·sV = 0.75 m/sD = 200 mm
Re =
3.Medium
V = 2.4 m/sD = 75 mmL = 300 mf = 0.018

Water flows at a mean velocity of 2.4 m/s through a pipe 300 m long with an inside diameter of 75 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the friction head loss hf.

V = 2.4 m/sL = 300 mD = 75 mmf = 0.018g = 9.81 m/s²
hf = m
4.Medium
Q = 100 L/sD = 300 mmL = 100 mf = 0.015

Water flows at 100 L/s through a pipe 100 m long with an inside diameter of 300 mm. Use the Darcy friction factor f = 0.015 and g = 9.81 m/s². Find the friction head loss hf.

Q = 100 L/sL = 100 mD = 300 mmf = 0.015g = 9.81 m/s²
hf = m
5.Hard
K = 10Δz = ?L = 150 m, D = 300 mm, f = 0.0224× 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 = 0.022. The minor losses are a square-edged entrance (K = 0.5), 4 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 150 L/s?

Q = 150 L/sL = 150 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10Kexit = 1.0
Δz = m
6.Hard
K = 5Δz = ?L = 300 m, D = 300 mm, f = 0.0183× bend (K = 0.3)

Two open reservoirs are joined by a pipe 300 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.018. The minor losses are a square-edged entrance (K = 0.5), 3 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. What difference in water level Δz between the reservoirs gives a flow rate of 150 L/s?

Q = 150 L/sL = 300 mD = 300 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 5Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 111688
  2. 2. Re = 3300
  3. 3. hf = 21.14 m
  4. 4. hf = 0.51 m
  5. 5. Δz = 5.44 m
  6. 6. Δz = 5.83 m

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