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 = 2.75 m/sD = 150 mmρ = 891 kg/m³, μ = 0.29 Pa·s

SAE 30 motor oil (ρ = 891 kg/m³, μ = 0.29 Pa·s) flows at 2.75 m/s through a pipe with an inside diameter of 150 mm. Find the Reynolds number Re.

ρ = 891 kg/m³μ = 0.29 Pa·sV = 2.75 m/sD = 150 mm
Re =
2.Easy
V = 2.1 m/sD = 100 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows at a mean velocity of 2.1 m/s through a pipe with an inside diameter of 100 mm. Find the Reynolds number Re.

V = 2.1 m/sD = 100 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
V = 2.6 m/sD = 150 mmL = 100 mf = 0.028

Water (ρ = 1000 kg/m³) flows at 2.6 m/s through a horizontal pipe, 100 m long, with an inside diameter of 150 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 2.6 m/sL = 100 mD = 150 mmf = 0.028ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 2.6 m/sD = 300 mmL = 400 mf = 0.03

Water flows at a mean velocity of 2.6 m/s through a pipe 400 m long with an inside diameter of 300 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the friction head loss hf.

V = 2.6 m/sL = 400 mD = 300 mmf = 0.03g = 9.81 m/s²
hf = m
5.Hard
K = 10Δz = 32 mL = 100 m, D = 200 mm, f = 0.0183× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.018. The water surface of the upper reservoir is 32 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 = 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 = 32 mL = 100 mD = 200 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Q = L/s
6.Hard
K = 2Δz = 15 mL = 300 m, D = 200 mm, f = 0.0154× bend (K = 0.3)

Two open reservoirs are joined by a pipe 300 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.015. The water surface of the upper reservoir is 15 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 = 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 = 15 mL = 300 mD = 200 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2Kexit = 1.0
Q = L/s

Answer key

  1. 1. Re = 1267
  2. 2. Re = 184211
  3. 3. Δp = 63.09 kPa
  4. 4. hf = 13.78 m
  5. 5. Q = 170.2 L/s
  6. 6. Q = 103.3 L/s

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