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 = 0.9 m/sD = 25 mmν = 1.00 × 10⁻⁶ m²/s

Water at 20 °C (ν = 1.00 × 10⁻⁶ m²/s) flows at a mean velocity of 0.9 m/s through a pipe with an inside diameter of 25 mm. Find the Reynolds number Re.

V = 0.9 m/sD = 25 mmν = 1.00 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 5 L/sD = 50 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 50 mm at 5 L/s. Find the Reynolds number Re.

Q = 5 L/sD = 50 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
V = 1.1 m/sD = 250 mmL = 1000 mf = 0.022

Water (ρ = 1000 kg/m³) flows at 1.1 m/s through a horizontal pipe, 1000 m long, with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 1.1 m/sL = 1000 mD = 250 mmf = 0.022ρ = 1000 kg/m³
Δp = kPa
4.Medium
Q = 2 L/sD = 50 mmL = 400 mf = 0.018

Water flows at 2 L/s through a pipe 400 m long with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the friction head loss hf.

Q = 2 L/sL = 400 mD = 50 mmf = 0.018g = 9.81 m/s²
hf = m
5.Hard
K = 2Δz = 28 mL = 200 m, D = 250 mm, f = 0.0252× bend (K = 0.3)

Two open reservoirs are joined by a pipe 200 m long with an inside diameter of 250 mm and a Darcy friction factor f = 0.025. The water surface of the upper reservoir is 28 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 = 2) 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 = 28 mL = 200 mD = 250 mmf = 0.025Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 2Kexit = 1.0
Q = L/s
6.Hard
K = 5Δz = 13 mL = 300 m, D = 300 mm, f = 0.0224× 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 = 0.022. The water surface of the upper reservoir is 13 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 = 13 mL = 300 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5Kexit = 1.0
Q = L/s

Answer key

  1. 1. Re = 22500
  2. 2. Re = 111688
  3. 3. Δp = 53.24 kPa
  4. 4. hf = 7.615 m
  5. 5. Q = 234.4 L/s
  6. 6. Q = 207.1 L/s

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