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 m/sD = 100 mmν = 1.00 × 10⁻⁶ m²/s

Water at 20 °C (ν = 1.00 × 10⁻⁶ m²/s) flows at a mean velocity of 1 m/s through a pipe with an inside diameter of 100 mm. Find the Reynolds number Re.

V = 1 m/sD = 100 mmν = 1.00 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 4 L/sD = 50 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 50 mm at 4 L/s. Find the Reynolds number Re.

Q = 4 L/sD = 50 mmν = 0.801 × 10⁻⁶ m²/s
Re =
3.Medium
V = 1.5 m/sD = 250 mmL = 300 mf = 0.028

Water flows at a mean velocity of 1.5 m/s through a pipe 300 m long with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the friction head loss hf.

V = 1.5 m/sL = 300 mD = 250 mmf = 0.028g = 9.81 m/s²
hf = m
4.Medium
V = 2.5 m/sD = 300 mmL = 300 mf = 0.015

Water (ρ = 1000 kg/m³) flows at 2.5 m/s through a horizontal pipe, 300 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 pressure drop Δp over the pipe in kPa.

V = 2.5 m/sL = 300 mD = 300 mmf = 0.015ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 10Δz = ?L = 150 m, D = 300 mm, f = 0.0224× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 300 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 = 10) 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 200 L/s?

Q = 200 L/sL = 150 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10Kexit = 1.0
Δz = m
6.Hard
K = 2Δz = ?L = 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 minor losses are a square-edged entrance (K = 0.5), 3 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. What difference in water level Δz between the reservoirs gives a flow rate of 40 L/s?

Q = 40 L/sL = 200 mD = 200 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 100000
  2. 2. Re = 127165
  3. 3. hf = 3.853 m
  4. 4. Δp = 46.87 kPa
  5. 5. Δz = 9.67 m
  6. 6. Δz = 1.851 m

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