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 = 40 L/sD = 200 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 200 mm at 40 L/s. Find the Reynolds number Re.

Q = 40 L/sD = 200 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
V = 1.75 m/sD = 40 mmρ = 880 kg/m³, μ = 0.04 Pa·s

Hydraulic oil (ρ = 880 kg/m³, μ = 0.04 Pa·s) flows at 1.75 m/s through a pipe with an inside diameter of 40 mm. Find the Reynolds number Re.

ρ = 880 kg/m³μ = 0.04 Pa·sV = 1.75 m/sD = 40 mm
Re =
3.Medium
V = 0.8 m/sD = 50 mmL = 400 mf = 0.028

Water flows at a mean velocity of 0.8 m/s through a pipe 400 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.

V = 0.8 m/sL = 400 mD = 50 mmf = 0.028g = 9.81 m/s²
hf = m
4.Medium
V = 2.3 m/sD = 75 mmL = 800 mf = 0.015

Water flows at a mean velocity of 2.3 m/s through a pipe 800 m long with an inside diameter of 75 mm. Use the Darcy friction factor f = 0.015 and g = 9.81 m/s². Find the friction head loss hf.

V = 2.3 m/sL = 800 mD = 75 mmf = 0.015g = 9.81 m/s²
hf = m
5.Hard
K = 0.2Δz = ?L = 100 m, D = 250 mm, f = 0.0224× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 250 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 = 0.2) 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 = 100 mD = 250 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 0.2Kexit = 1.0
Δz = m
6.Hard
K = 10Δz = 15 mL = 200 m, D = 200 mm, f = 0.0183× 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 = 0.018. The water surface of the upper reservoir is 15 m above that of the lower one. 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. Find the flow rate Q in L/s.

Δz = 15 mL = 200 mD = 200 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Q = L/s

Answer key

  1. 1. Re = 194388
  2. 2. Re = 1540
  3. 3. hf = 7.307 m
  4. 4. hf = 43.14 m
  5. 5. Δz = 0.6187 m
  6. 6. Q = 97.75 L/s

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