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 = 25 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 25 L/s. Find the Reynolds number Re.

Q = 25 L/sD = 100 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
V = 2.3 m/sD = 50 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows at a mean velocity of 2.3 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

V = 2.3 m/sD = 50 mmν = 0.801 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 30 L/sD = 200 mmL = 200 mf = 0.03

Water flows at 30 L/s through a pipe 200 m long with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the friction head loss hf.

Q = 30 L/sL = 200 mD = 200 mmf = 0.03g = 9.81 m/s²
hf = m
4.Medium
V = 1.8 m/sD = 100 mmL = 500 mf = 0.018

Water (ρ = 1000 kg/m³) flows at 1.8 m/s through a horizontal pipe, 500 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 pressure drop Δp over the pipe in kPa.

V = 1.8 m/sL = 500 mD = 100 mmf = 0.018ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 2free outletH = ?L = 100 m, D = 100 mm, f = 0.023× bend (K = 0.3)

A pipe 100 m long with an inside diameter of 100 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 10 L/s?

Q = 10 L/sL = 100 mD = 100 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2
H = m
6.Hard
K = 0.2free outletH = ?L = 150 m, D = 250 mm, f = 0.024× bend (K = 0.3)

A pipe 150 m long with an inside diameter of 250 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), 4 bends (K = 0.3 each) and a valve (K = 0.2). 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 = 150 mD = 250 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 0.2
H = m

Answer key

  1. 1. Re = 279219
  2. 2. Re = 143571
  3. 3. hf = 1.394 m
  4. 4. Δp = 145.8 kPa
  5. 5. H = 2.016 m
  6. 6. H = 1.135 m

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