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 = 0.6 m/sD = 150 mmν = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 10⁻⁶ m²/s) flows at a mean velocity of 0.6 m/s through a pipe with an inside diameter of 150 mm. Find the Reynolds number Re.

V = 0.6 m/sD = 150 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
V = 2.25 m/sD = 200 mmρ = 880 kg/m³, μ = 0.04 Pa·s

Hydraulic oil (ρ = 880 kg/m³, μ = 0.04 Pa·s) flows at 2.25 m/s through a pipe with an inside diameter of 200 mm. Find the Reynolds number Re.

ρ = 880 kg/m³μ = 0.04 Pa·sV = 2.25 m/sD = 200 mm
Re =
3.Medium
V = 1.5 m/sD = 50 mmL = 50 mf = 0.025

Water flows at a mean velocity of 1.5 m/s through a pipe 50 m long with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.025 and g = 9.81 m/s². Find the friction head loss hf.

V = 1.5 m/sL = 50 mD = 50 mmf = 0.025g = 9.81 m/s²
hf = m
4.Medium
V = 1.6 m/sD = 300 mmL = 300 mf = 0.022

Water flows at a mean velocity of 1.6 m/s through a pipe 300 m long with an inside diameter of 300 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the friction head loss hf.

V = 1.6 m/sL = 300 mD = 300 mmf = 0.022g = 9.81 m/s²
hf = m
5.Hard
K = 5Δz = ?L = 100 m, D = 100 mm, f = 0.0223× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 100 mm and a Darcy friction factor f = 0.022. The minor losses are a square-edged entrance (K = 0.5), 3 bends (K = 0.3 each), a valve (K = 5) and the exit into the lower reservoir (K = 1.0). Use g = 9.81 m/s². What difference in water level Δz between the reservoirs gives a flow rate of 10 L/s?

Q = 10 L/sL = 100 mD = 100 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 5Kexit = 1.0
Δz = m
6.Hard
K = 5free outletH = ?L = 150 m, D = 250 mm, f = 0.0153× bend (K = 0.3)

A pipe 150 m long with an inside diameter of 250 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), 3 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 60 L/s?

Q = 60 L/sL = 150 mD = 250 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 5
H = m

Answer key

  1. 1. Re = 68702
  2. 2. Re = 9900
  3. 3. hf = 2.867 m
  4. 4. hf = 2.871 m
  5. 5. Δz = 2.429 m
  6. 6. H = 1.249 m

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