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 = 0.6 m/sD = 75 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 75 mm. Find the Reynolds number Re.

V = 0.6 m/sD = 75 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
V = 0.7 m/sD = 50 mmν = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 10⁻⁶ m²/s) flows at a mean velocity of 0.7 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

V = 0.7 m/sD = 50 mmν = 1.31 × 10⁻⁶ m²/s
Re =
3.Medium
V = 1.5 m/sD = 50 mmL = 500 mf = 0.02

Water (ρ = 1000 kg/m³) flows at 1.5 m/s through a horizontal pipe, 500 m long, with an inside diameter of 50 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 = 1.5 m/sL = 500 mD = 50 mmf = 0.02ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 1.7 m/sD = 100 mmL = 50 mf = 0.022

Water (ρ = 1000 kg/m³) flows at 1.7 m/s through a horizontal pipe, 50 m long, with an inside diameter of 100 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 = 1.7 m/sL = 50 mD = 100 mmf = 0.022ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 10Δz = ?L = 150 m, D = 150 mm, f = 0.024× 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 = 0.02. 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 30 L/s?

Q = 30 L/sL = 150 mD = 150 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10Kexit = 1.0
Δz = m
6.Hard
K = 10Δz = ?L = 600 m, D = 300 mm, f = 0.0152× bend (K = 0.3)

Two open reservoirs are joined by a pipe 600 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.015. The minor losses are a square-edged entrance (K = 0.5), 2 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 120 L/s?

Q = 120 L/sL = 600 mD = 300 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 10Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 39474
  2. 2. Re = 26718
  3. 3. Δp = 225 kPa
  4. 4. Δp = 15.89 kPa
  5. 5. Δz = 4.803 m
  6. 6. Δz = 6.184 m

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