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 = 200 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows through a pipe with an inside diameter of 200 mm at 60 L/s. Find the Reynolds number Re.

Q = 60 L/sD = 200 mmν = 0.801 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 3 L/sD = 40 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 40 mm at 3 L/s. Find the Reynolds number Re.

Q = 3 L/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s
Re =
3.Medium
V = 1 m/sD = 300 mmL = 50 mf = 0.02

Water (ρ = 1000 kg/m³) flows at 1 m/s through a horizontal pipe, 50 m long, with an inside diameter of 300 mm. Use the Darcy friction factor f = 0.02 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 1 m/sL = 50 mD = 300 mmf = 0.02ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 2 m/sD = 200 mmL = 400 mf = 0.018

Water flows at a mean velocity of 2 m/s through a pipe 400 m long with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the friction head loss hf.

V = 2 m/sL = 400 mD = 200 mmf = 0.018g = 9.81 m/s²
hf = m
5.Hard
K = 5Δz = 14 mL = 200 m, D = 300 mm, f = 0.0222× bend (K = 0.3)

Two open reservoirs are joined by a pipe 200 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.022. The water surface of the upper reservoir is 14 m above that of the lower one. The minor losses are a square-edged entrance (K = 0.5), 2 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 = 14 mL = 200 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 5Kexit = 1.0
Q = L/s
6.Hard
K = 10Δz = 26 mL = 200 m, D = 200 mm, f = 0.0152× 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 = 0.015. 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), 2 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 = 26 mL = 200 mD = 200 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 10Kexit = 1.0
Q = L/s

Answer key

  1. 1. Re = 476869
  2. 2. Re = 72895
  3. 3. Δp = 1.667 kPa
  4. 4. hf = 7.339 m
  5. 5. Q = 251.1 L/s
  6. 6. Q = 136.3 L/s

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