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 = 10 L/sD = 100 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 100 mm at 10 L/s. Find the Reynolds number Re.

Q = 10 L/sD = 100 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
V = 3 m/sD = 100 mmρ = 891 kg/m³, μ = 0.29 Pa·s

SAE 30 motor oil (ρ = 891 kg/m³, μ = 0.29 Pa·s) flows at 3 m/s through a pipe with an inside diameter of 100 mm. Find the Reynolds number Re.

ρ = 891 kg/m³μ = 0.29 Pa·sV = 3 m/sD = 100 mm
Re =
3.Medium
Q = 40 L/sD = 300 mmL = 1000 mf = 0.02

Water flows at 40 L/s through a pipe 1000 m long with an inside diameter of 300 mm. Use the Darcy friction factor f = 0.02 and g = 9.81 m/s². Find the friction head loss hf.

Q = 40 L/sL = 1000 mD = 300 mmf = 0.02g = 9.81 m/s²
hf = m
4.Medium
V = 1.2 m/sD = 200 mmL = 400 mf = 0.018

Water flows at a mean velocity of 1.2 m/s through a pipe 400 m long with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the friction head loss hf.

V = 1.2 m/sL = 400 mD = 200 mmf = 0.018g = 9.81 m/s²
hf = m
5.Hard
K = 2free outletH = ?L = 200 m, D = 150 mm, f = 0.023× bend (K = 0.3)

A pipe 200 m long with an inside diameter of 150 mm (Darcy friction factor f = 0.02) 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 = 2). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 30 L/s?

Q = 30 L/sL = 200 mD = 150 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2
H = m
6.Hard
K = 2free outletH = ?L = 300 m, D = 300 mm, f = 0.022× bend (K = 0.3)

A pipe 300 m long with an inside diameter of 300 mm (Darcy friction factor f = 0.02) 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 = 2). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 150 L/s?

Q = 150 L/sL = 300 mD = 300 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 2
H = m

Answer key

  1. 1. Re = 111688
  2. 2. Re = 921.7
  3. 3. hf = 1.088 m
  4. 4. hf = 2.642 m
  5. 5. H = 4.563 m
  6. 6. H = 5.531 m

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