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 = 2.25 m/sD = 75 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 75 mm. Find the Reynolds number Re.

ρ = 880 kg/m³μ = 0.04 Pa·sV = 2.25 m/sD = 75 mm
Re =
2.Easy
V = 1.25 m/sD = 40 mmρ = 880 kg/m³, μ = 0.04 Pa·s

Hydraulic oil (ρ = 880 kg/m³, μ = 0.04 Pa·s) flows at 1.25 m/s through a pipe with an inside diameter of 40 mm. Find the Reynolds number Re.

ρ = 880 kg/m³μ = 0.04 Pa·sV = 1.25 m/sD = 40 mm
Re =
3.Medium
Q = 120 L/sD = 300 mmL = 400 mf = 0.025

Water flows at 120 L/s through a pipe 400 m long with an inside diameter of 300 mm. Use the Darcy friction factor f = 0.025 and g = 9.81 m/s². Find the friction head loss hf.

Q = 120 L/sL = 400 mD = 300 mmf = 0.025g = 9.81 m/s²
hf = m
4.Medium
Q = 8 L/sD = 100 mmL = 500 mf = 0.025

Water flows at 8 L/s through a pipe 500 m long with an inside diameter of 100 mm. Use the Darcy friction factor f = 0.025 and g = 9.81 m/s². Find the friction head loss hf.

Q = 8 L/sL = 500 mD = 100 mmf = 0.025g = 9.81 m/s²
hf = m
5.Hard
K = 10free outletH = ?L = 100 m, D = 150 mm, f = 0.023× bend (K = 0.3)

A pipe 100 m long with an inside diameter of 150 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), 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 40 L/s?

Q = 40 L/sL = 100 mD = 150 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10
H = m
6.Hard
K = 10free outletH = ?L = 100 m, D = 100 mm, f = 0.024× bend (K = 0.3)

A pipe 100 m long with an inside diameter of 100 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 = 10). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 12 L/s?

Q = 12 L/sL = 100 mD = 100 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10
H = m

Answer key

  1. 1. Re = 3713
  2. 2. Re = 1100
  3. 3. hf = 4.896 m
  4. 4. hf = 6.61 m
  5. 5. H = 6.72 m
  6. 6. H = 3.891 m

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