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 = 15 L/sD = 200 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 200 mm at 15 L/s. Find the Reynolds number Re.

Q = 15 L/sD = 200 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
V = 2 m/sD = 40 mmρ = 850 kg/m³, μ = 0.005 Pa·s

Light fuel oil (ρ = 850 kg/m³, μ = 0.005 Pa·s) flows at 2 m/s through a pipe with an inside diameter of 40 mm. Find the Reynolds number Re.

ρ = 850 kg/m³μ = 0.005 Pa·sV = 2 m/sD = 40 mm
Re =
3.Medium
V = 2 m/sD = 50 mmL = 400 mf = 0.015

Water flows at a mean velocity of 2 m/s through a pipe 400 m long with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.015 and g = 9.81 m/s². Find the friction head loss hf.

V = 2 m/sL = 400 mD = 50 mmf = 0.015g = 9.81 m/s²
hf = m
4.Medium
V = 1.4 m/sD = 250 mmL = 400 mf = 0.028

Water (ρ = 1000 kg/m³) flows at 1.4 m/s through a horizontal pipe, 400 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 pressure drop Δp over the pipe in kPa.

V = 1.4 m/sL = 400 mD = 250 mmf = 0.028ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 10free outletH = ?L = 400 m, D = 250 mm, f = 0.0153× bend (K = 0.3)

A pipe 400 m long with an inside diameter of 250 mm (Darcy friction factor f = 0.015) runs from an open reservoir and discharges as a free jet into the air. The minor losses are a square-edged entrance (K = 0.5), 3 bends (K = 0.3 each) and a valve (K = 10). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 50 L/s?

Q = 50 L/sL = 400 mD = 250 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10
H = m
6.Hard
K = 10free outletH = ?L = 400 m, D = 250 mm, f = 0.0182× bend (K = 0.3)

A pipe 400 m long with an inside diameter of 250 mm (Darcy friction factor f = 0.018) runs from an open reservoir and discharges as a free jet into the air. The minor losses are a square-edged entrance (K = 0.5), 2 bends (K = 0.3 each) and a valve (K = 10). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 60 L/s?

Q = 60 L/sL = 400 mD = 250 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 10
H = m

Answer key

  1. 1. Re = 83766
  2. 2. Re = 13600
  3. 3. hf = 24.46 m
  4. 4. Δp = 43.9 kPa
  5. 5. H = 1.925 m
  6. 6. H = 3.114 m

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