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 = 200 mmρ = 891 kg/m³, μ = 0.29 Pa·s

SAE 30 motor oil (ρ = 891 kg/m³, μ = 0.29 Pa·s) flows at 2.5 m/s through a pipe with an inside diameter of 200 mm. Find the Reynolds number Re.

ρ = 891 kg/m³μ = 0.29 Pa·sV = 2.5 m/sD = 200 mm
Re =
2.Easy
Q = 4 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 4 L/s. Find the Reynolds number Re.

Q = 4 L/sD = 50 mmν = 0.801 × 10⁻⁶ m²/s
Re =
3.Medium
V = 1.9 m/sD = 100 mmL = 50 mf = 0.028

Water (ρ = 1000 kg/m³) flows at 1.9 m/s through a horizontal pipe, 50 m long, with an inside diameter of 100 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 1.9 m/sL = 50 mD = 100 mmf = 0.028ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 3 m/sD = 150 mmL = 400 mf = 0.022

Water (ρ = 1000 kg/m³) flows at 3 m/s through a horizontal pipe, 400 m long, with an inside diameter of 150 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 = 3 m/sL = 400 mD = 150 mmf = 0.022ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 2free outletH = ?L = 300 m, D = 250 mm, f = 0.0184× bend (K = 0.3)

A pipe 300 m long with an inside diameter of 250 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 = 2). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 50 L/s?

Q = 50 L/sL = 300 mD = 250 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2
H = m
6.Hard
K = 5free outletH = ?L = 300 m, D = 250 mm, f = 0.0224× bend (K = 0.3)

A pipe 300 m long with an inside diameter of 250 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 = 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 = 300 mD = 250 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5
H = m

Answer key

  1. 1. Re = 1536
  2. 2. Re = 127165
  3. 3. Δp = 25.27 kPa
  4. 4. Δp = 264 kPa
  5. 5. H = 1.391 m
  6. 6. H = 4.616 m

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