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
V = 0.4 m/sD = 25 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows at a mean velocity of 0.4 m/s through a pipe with an inside diameter of 25 mm. Find the Reynolds number Re.

V = 0.4 m/sD = 25 mmν = 0.801 × 10⁻⁶ m²/s
Re =
2.Easy
V = 1.6 m/sD = 100 mmν = 1.00 × 10⁻⁶ m²/s

Water at 20 °C (ν = 1.00 × 10⁻⁶ m²/s) flows at a mean velocity of 1.6 m/s through a pipe with an inside diameter of 100 mm. Find the Reynolds number Re.

V = 1.6 m/sD = 100 mmν = 1.00 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 80 L/sD = 300 mmL = 300 mf = 0.03

Water flows at 80 L/s through a pipe 300 m long with an inside diameter of 300 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the friction head loss hf.

Q = 80 L/sL = 300 mD = 300 mmf = 0.03g = 9.81 m/s²
hf = m
4.Medium
V = 2.6 m/sD = 250 mmL = 200 mf = 0.015

Water (ρ = 1000 kg/m³) flows at 2.6 m/s through a horizontal pipe, 200 m long, with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.015 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 2.6 m/sL = 200 mD = 250 mmf = 0.015ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 5free outletH = ?L = 200 m, D = 300 mm, f = 0.0184× bend (K = 0.3)

A pipe 200 m long with an inside diameter of 300 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), 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 80 L/s?

Q = 80 L/sL = 200 mD = 300 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5
H = m
6.Hard
K = 2free outletH = ?L = 200 m, D = 300 mm, f = 0.023× bend (K = 0.3)

A pipe 200 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), 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 75 L/s?

Q = 75 L/sL = 200 mD = 300 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2
H = m

Answer key

  1. 1. Re = 12484
  2. 2. Re = 160000
  3. 3. hf = 1.959 m
  4. 4. Δp = 40.56 kPa
  5. 5. H = 1.286 m
  6. 6. H = 1.018 m

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