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 = 3 L/sD = 50 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 50 mm at 3 L/s. Find the Reynolds number Re.

Q = 3 L/sD = 50 mmν = 1.00 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 5 L/sD = 50 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows through a pipe with an inside diameter of 50 mm at 5 L/s. Find the Reynolds number Re.

Q = 5 L/sD = 50 mmν = 0.801 × 10⁻⁶ m²/s
Re =
3.Medium
V = 2.7 m/sD = 200 mmL = 500 mf = 0.018

Water (ρ = 1000 kg/m³) flows at 2.7 m/s through a horizontal pipe, 500 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 pressure drop Δp over the pipe in kPa.

V = 2.7 m/sL = 500 mD = 200 mmf = 0.018ρ = 1000 kg/m³
Δp = kPa
4.Medium
Q = 25 L/sD = 150 mmL = 150 mf = 0.028

Water flows at 25 L/s through a pipe 150 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 friction head loss hf.

Q = 25 L/sL = 150 mD = 150 mmf = 0.028g = 9.81 m/s²
hf = m
5.Hard
K = 5free outletH = ?L = 200 m, D = 100 mm, f = 0.0152× bend (K = 0.3)

A pipe 200 m long with an inside diameter of 100 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), 2 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 12 L/s?

Q = 12 L/sL = 200 mD = 100 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 5
H = m
6.Hard
K = 2free outletH = ?L = 150 m, D = 300 mm, f = 0.0224× bend (K = 0.3)

A pipe 150 m long with an inside diameter of 300 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 = 2). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 80 L/s?

Q = 80 L/sL = 150 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2
H = m

Answer key

  1. 1. Re = 76394
  2. 2. Re = 158956
  3. 3. Δp = 164 kPa
  4. 4. hf = 2.856 m
  5. 5. H = 4.414 m
  6. 6. H = 1.025 m

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