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 = 12 L/sD = 75 mmν = 1.00 × 10⁻⁶ m²/s

Water at 20 °C (ν = 1.00 × 10⁻⁶ m²/s) flows through a pipe with an inside diameter of 75 mm at 12 L/s. Find the Reynolds number Re.

Q = 12 L/sD = 75 mmν = 1.00 × 10⁻⁶ m²/s
Re =
2.Easy
V = 2.5 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 2.5 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 = 2.5 m/sD = 40 mm
Re =
3.Medium
Q = 4 L/sD = 100 mmL = 300 mf = 0.018

Water flows at 4 L/s through a pipe 300 m long with an inside diameter of 100 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the friction head loss hf.

Q = 4 L/sL = 300 mD = 100 mmf = 0.018g = 9.81 m/s²
hf = m
4.Medium
V = 2 m/sD = 200 mmL = 200 mf = 0.02

Water flows at a mean velocity of 2 m/s through a pipe 200 m long with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.02 and g = 9.81 m/s². Find the friction head loss hf.

V = 2 m/sL = 200 mD = 200 mmf = 0.02g = 9.81 m/s²
hf = m
5.Hard
K = 10free outletH = ?L = 150 m, D = 150 mm, f = 0.0224× bend (K = 0.3)

A pipe 150 m long with an inside diameter of 150 mm (Darcy friction factor f = 0.022) 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), 4 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 20 L/s?

Q = 20 L/sL = 150 mD = 150 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10
H = m
6.Hard
K = 5free outletH = ?L = 150 m, D = 200 mm, f = 0.0254× bend (K = 0.3)

A pipe 150 m long with an inside diameter of 200 mm (Darcy friction factor f = 0.025) 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), 4 bends (K = 0.3 each) and a valve (K = 5). 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 = 150 mD = 200 mmf = 0.025Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5
H = m

Answer key

  1. 1. Re = 203718
  2. 2. Re = 17000
  3. 3. hf = 0.7139 m
  4. 4. hf = 4.077 m
  5. 5. H = 2.265 m
  6. 6. H = 3.415 m

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