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 = 2 L/sD = 40 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 40 mm at 2 L/s. Find the Reynolds number Re.

Q = 2 L/sD = 40 mmν = 0.801 × 10⁻⁶ m²/s
Re =
2.Easy
V = 0.6 m/sD = 200 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows at a mean velocity of 0.6 m/s through a pipe with an inside diameter of 200 mm. Find the Reynolds number Re.

V = 0.6 m/sD = 200 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
V = 1.8 m/sD = 300 mmL = 50 mf = 0.015

Water (ρ = 1000 kg/m³) flows at 1.8 m/s through a horizontal pipe, 50 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 = 1.8 m/sL = 50 mD = 300 mmf = 0.015ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 2 m/sD = 200 mmL = 800 mf = 0.022

Water flows at a mean velocity of 2 m/s through a pipe 800 m long with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the friction head loss hf.

V = 2 m/sL = 800 mD = 200 mmf = 0.022g = 9.81 m/s²
hf = m
5.Hard
K = 10Δz = ?L = 150 m, D = 150 mm, f = 0.0253× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 150 mm and a Darcy friction factor f = 0.025. 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. What difference in water level Δz between the reservoirs gives a flow rate of 30 L/s?

Q = 30 L/sL = 150 mD = 150 mmf = 0.025Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Δz = m
6.Hard
K = 5Δz = ?L = 150 m, D = 200 mm, f = 0.022× 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 = 0.02. 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. What difference in water level Δz between the reservoirs gives a flow rate of 100 L/s?

Q = 100 L/sL = 150 mD = 200 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 5Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 79478
  2. 2. Re = 105263
  3. 3. Δp = 4.05 kPa
  4. 4. hf = 17.94 m
  5. 5. Δz = 5.494 m
  6. 6. Δz = 11.41 m

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