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 = 2.75 m/sD = 50 mmρ = 891 kg/m³, μ = 0.29 Pa·s

SAE 30 motor oil (ρ = 891 kg/m³, μ = 0.29 Pa·s) flows at 2.75 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

ρ = 891 kg/m³μ = 0.29 Pa·sV = 2.75 m/sD = 50 mm
Re =
2.Easy
V = 2.5 m/sD = 150 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 150 mm. Find the Reynolds number Re.

ρ = 891 kg/m³μ = 0.29 Pa·sV = 2.5 m/sD = 150 mm
Re =
3.Medium
Q = 75 L/sD = 300 mmL = 500 mf = 0.025

Water flows at 75 L/s through a pipe 500 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 = 75 L/sL = 500 mD = 300 mmf = 0.025g = 9.81 m/s²
hf = m
4.Medium
V = 2.7 m/sD = 100 mmL = 1000 mf = 0.028

Water flows at a mean velocity of 2.7 m/s through a pipe 1000 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 friction head loss hf.

V = 2.7 m/sL = 1000 mD = 100 mmf = 0.028g = 9.81 m/s²
hf = m
5.Hard
K = 10free outletH = ?L = 100 m, D = 300 mm, f = 0.0154× bend (K = 0.3)

A pipe 100 m long with an inside diameter of 300 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), 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 120 L/s?

Q = 120 L/sL = 100 mD = 300 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10
H = m
6.Hard
K = 0.2free outletH = ?L = 100 m, D = 250 mm, f = 0.0183× bend (K = 0.3)

A pipe 100 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), 3 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 100 L/s?

Q = 100 L/sL = 100 mD = 250 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 0.2
H = m

Answer key

  1. 1. Re = 422.5
  2. 2. Re = 1152
  3. 3. hf = 2.391 m
  4. 4. hf = 104 m
  5. 5. H = 2.6 m
  6. 6. H = 2.073 m

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