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 = 2.5 m/sD = 50 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 50 mm. Find the Reynolds number Re.

ρ = 850 kg/m³μ = 0.005 Pa·sV = 2.5 m/sD = 50 mm
Re =
2.Easy
V = 2.4 m/sD = 100 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows at a mean velocity of 2.4 m/s through a pipe with an inside diameter of 100 mm. Find the Reynolds number Re.

V = 2.4 m/sD = 100 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
V = 2.2 m/sD = 250 mmL = 100 mf = 0.022

Water (ρ = 1000 kg/m³) flows at 2.2 m/s through a horizontal pipe, 100 m long, with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 2.2 m/sL = 100 mD = 250 mmf = 0.022ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 1.6 m/sD = 200 mmL = 150 mf = 0.02

Water (ρ = 1000 kg/m³) flows at 1.6 m/s through a horizontal pipe, 150 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 pressure drop Δp over the pipe in kPa.

V = 1.6 m/sL = 150 mD = 200 mmf = 0.02ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 5free outletH = ?L = 100 m, D = 100 mm, f = 0.0154× bend (K = 0.3)

A pipe 100 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), 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 8 L/s?

Q = 8 L/sL = 100 mD = 100 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5
H = m
6.Hard
K = 10free outletH = ?L = 300 m, D = 300 mm, f = 0.0223× bend (K = 0.3)

A pipe 300 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), 3 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 75 L/s?

Q = 75 L/sL = 300 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10
H = m

Answer key

  1. 1. Re = 21250
  2. 2. Re = 210526
  3. 3. Δp = 21.3 kPa
  4. 4. Δp = 19.2 kPa
  5. 5. H = 1.2 m
  6. 6. H = 1.974 m

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