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 m/sD = 50 mmρ = 880 kg/m³, μ = 0.04 Pa·s

Hydraulic oil (ρ = 880 kg/m³, μ = 0.04 Pa·s) flows at 1 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

ρ = 880 kg/m³μ = 0.04 Pa·sV = 1 m/sD = 50 mm
Re =
2.Easy
Q = 8 L/sD = 75 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 75 mm at 8 L/s. Find the Reynolds number Re.

Q = 8 L/sD = 75 mmν = 1.00 × 10⁻⁶ m²/s
Re =
3.Medium
V = 2.6 m/sD = 250 mmL = 150 mf = 0.018

Water flows at a mean velocity of 2.6 m/s through a pipe 150 m long with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the friction head loss hf.

V = 2.6 m/sL = 150 mD = 250 mmf = 0.018g = 9.81 m/s²
hf = m
4.Medium
V = 2.2 m/sD = 100 mmL = 200 mf = 0.015

Water (ρ = 1000 kg/m³) flows at 2.2 m/s through a horizontal pipe, 200 m long, with an inside diameter of 100 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 = 2.2 m/sL = 200 mD = 100 mmf = 0.015ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 0.2free outletH = ?L = 150 m, D = 300 mm, f = 0.024× bend (K = 0.3)

A pipe 150 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), 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 80 L/s?

Q = 80 L/sL = 150 mD = 300 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 0.2
H = m
6.Hard
K = 2free outletH = ?L = 150 m, D = 300 mm, f = 0.0224× bend (K = 0.3)

A pipe 150 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), 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 200 L/s?

Q = 200 L/sL = 150 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2
H = m

Answer key

  1. 1. Re = 1100
  2. 2. Re = 135812
  3. 3. hf = 3.721 m
  4. 4. Δp = 72.6 kPa
  5. 5. H = 0.8422 m
  6. 6. H = 6.406 m

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