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 = 5 L/sD = 50 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 50 mm at 5 L/s. Find the Reynolds number Re.

Q = 5 L/sD = 50 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 2 L/sD = 50 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 50 mm at 2 L/s. Find the Reynolds number Re.

Q = 2 L/sD = 50 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 4 L/sD = 50 mmL = 400 mf = 0.028

Water flows at 4 L/s through a pipe 400 m long with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the friction head loss hf.

Q = 4 L/sL = 400 mD = 50 mmf = 0.028g = 9.81 m/s²
hf = m
4.Medium
V = 1.4 m/sD = 50 mmL = 150 mf = 0.025

Water (ρ = 1000 kg/m³) flows at 1.4 m/s through a horizontal pipe, 150 m long, with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.025 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 1.4 m/sL = 150 mD = 50 mmf = 0.025ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 10Δz = 20 mL = 150 m, D = 150 mm, f = 0.0224× 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 = 0.022. The water surface of the upper reservoir is 20 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 = 20 mL = 150 mD = 150 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10Kexit = 1.0
Q = L/s
6.Hard
K = 5Δz = ?L = 150 m, D = 200 mm, f = 0.0223× 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 minor losses are a square-edged entrance (K = 0.5), 3 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 75 L/s?

Q = 75 L/sL = 150 mD = 200 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 5Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 111688
  2. 2. Re = 44675
  3. 3. hf = 47.38 m
  4. 4. Δp = 73.5 kPa
  5. 5. Q = 59.43 L/s
  6. 6. Δz = 6.943 m

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