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 = 20 L/sD = 100 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 100 mm at 20 L/s. Find the Reynolds number Re.

Q = 20 L/sD = 100 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 4 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 4 L/s. Find the Reynolds number Re.

Q = 4 L/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s
Re =
3.Medium
V = 2.6 m/sD = 100 mmL = 300 mf = 0.02

Water (ρ = 1000 kg/m³) flows at 2.6 m/s through a horizontal pipe, 300 m long, with an inside diameter of 100 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 = 2.6 m/sL = 300 mD = 100 mmf = 0.02ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 1.6 m/sD = 300 mmL = 200 mf = 0.015

Water flows at a mean velocity of 1.6 m/s through a pipe 200 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.

V = 1.6 m/sL = 200 mD = 300 mmf = 0.015g = 9.81 m/s²
hf = m
5.Hard
K = 2Δz = 17 mL = 300 m, D = 250 mm, f = 0.0224× bend (K = 0.3)

Two open reservoirs are joined by a pipe 300 m long with an inside diameter of 250 mm and a Darcy friction factor f = 0.022. The water surface of the upper reservoir is 17 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 = 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 = 17 mL = 300 mD = 250 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2Kexit = 1.0
Q = L/s
6.Hard
K = 10Δz = 21 mL = 150 m, D = 200 mm, f = 0.0224× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.022. The water surface of the upper reservoir is 21 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 = 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 = 21 mL = 150 mD = 200 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10Kexit = 1.0
Q = L/s

Answer key

  1. 1. Re = 223375
  2. 2. Re = 97194
  3. 3. Δp = 202.8 kPa
  4. 4. hf = 1.305 m
  5. 5. Q = 160.8 L/s
  6. 6. Q = 118 L/s

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