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 = 1.75 m/sD = 50 mmρ = 880 kg/m³, μ = 0.04 Pa·s

Hydraulic oil (ρ = 880 kg/m³, μ = 0.04 Pa·s) flows at 1.75 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

ρ = 880 kg/m³μ = 0.04 Pa·sV = 1.75 m/sD = 50 mm
Re =
2.Easy
V = 2.1 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 2.1 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

V = 2.1 m/sD = 50 mmν = 1.31 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 40 L/sD = 250 mmL = 200 mf = 0.028

Water flows at 40 L/s through a pipe 200 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.

Q = 40 L/sL = 200 mD = 250 mmf = 0.028g = 9.81 m/s²
hf = m
4.Medium
Q = 5 L/sD = 100 mmL = 100 mf = 0.03

Water flows at 5 L/s through a pipe 100 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 friction head loss hf.

Q = 5 L/sL = 100 mD = 100 mmf = 0.03g = 9.81 m/s²
hf = m
5.Hard
K = 5Δz = 8 mL = 300 m, D = 150 mm, f = 0.0154× bend (K = 0.3)

Two open reservoirs are joined by a pipe 300 m long with an inside diameter of 150 mm and a Darcy friction factor f = 0.015. The water surface of the upper reservoir is 8 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 = 8 mL = 300 mD = 150 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5Kexit = 1.0
Q = L/s
6.Hard
K = 2Δz = 5 mL = 400 m, D = 300 mm, f = 0.023× bend (K = 0.3)

Two open reservoirs are joined by a pipe 400 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.02. The water surface of the upper reservoir is 5 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 = 2) 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 = 5 mL = 400 mD = 300 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2Kexit = 1.0
Q = L/s

Answer key

  1. 1. Re = 1925
  2. 2. Re = 80153
  3. 3. hf = 0.7581 m
  4. 4. hf = 0.6197 m
  5. 5. Q = 36.06 L/s
  6. 6. Q = 125.6 L/s

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