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 = 1.25 m/sD = 100 mmρ = 850 kg/m³, μ = 0.005 Pa·s

Light fuel oil (ρ = 850 kg/m³, μ = 0.005 Pa·s) flows at 1.25 m/s through a pipe with an inside diameter of 100 mm. Find the Reynolds number Re.

ρ = 850 kg/m³μ = 0.005 Pa·sV = 1.25 m/sD = 100 mm
Re =
2.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 =
3.Medium
V = 0.8 m/sD = 75 mmL = 50 mf = 0.028

Water (ρ = 1000 kg/m³) flows at 0.8 m/s through a horizontal pipe, 50 m long, with an inside diameter of 75 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 = 0.8 m/sL = 50 mD = 75 mmf = 0.028ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 2.8 m/sD = 150 mmL = 300 mf = 0.015

Water (ρ = 1000 kg/m³) flows at 2.8 m/s through a horizontal pipe, 300 m long, with an inside diameter of 150 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 = 2.8 m/sL = 300 mD = 150 mmf = 0.015ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 10free outletH = ?L = 400 m, D = 300 mm, f = 0.0183× bend (K = 0.3)

A pipe 400 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), 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 = 400 mD = 300 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10
H = m
6.Hard
K = 2free outletH = ?L = 200 m, D = 150 mm, f = 0.0184× bend (K = 0.3)

A pipe 200 m long with an inside diameter of 150 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 40 L/s?

Q = 40 L/sL = 200 mD = 150 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2
H = m

Answer key

  1. 1. Re = 21250
  2. 2. Re = 76394
  3. 3. Δp = 5.973 kPa
  4. 4. Δp = 117.6 kPa
  5. 5. H = 2.089 m
  6. 6. H = 7.495 m

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