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 = 1.1 m/sD = 75 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows at a mean velocity of 1.1 m/s through a pipe with an inside diameter of 75 mm. Find the Reynolds number Re.

V = 1.1 m/sD = 75 mmν = 0.801 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 2 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 2 L/s. Find the Reynolds number Re.

Q = 2 L/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 3 L/sD = 50 mmL = 800 mf = 0.022

Water flows at 3 L/s through a pipe 800 m long with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the friction head loss hf.

Q = 3 L/sL = 800 mD = 50 mmf = 0.022g = 9.81 m/s²
hf = m
4.Medium
V = 2.2 m/sD = 100 mmL = 50 mf = 0.03

Water (ρ = 1000 kg/m³) flows at 2.2 m/s through a horizontal pipe, 50 m long, with an inside diameter of 100 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 2.2 m/sL = 50 mD = 100 mmf = 0.03ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 5Δz = 39 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 39 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 = 39 mL = 300 mD = 250 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5Kexit = 1.0
Q = L/s
6.Hard
K = 10Δz = 27 mL = 100 m, D = 150 mm, f = 0.0223× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 150 mm and a Darcy friction factor f = 0.022. The water surface of the upper reservoir is 27 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 = 27 mL = 100 mD = 150 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Q = L/s

Answer key

  1. 1. Re = 102996
  2. 2. Re = 48597
  3. 3. hf = 41.88 m
  4. 4. Δp = 36.3 kPa
  5. 5. Q = 232.5 L/s
  6. 6. Q = 78.18 L/s

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