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 = 0.75 m/sD = 200 mmρ = 891 kg/m³, μ = 0.29 Pa·s

SAE 30 motor oil (ρ = 891 kg/m³, μ = 0.29 Pa·s) flows at 0.75 m/s through a pipe with an inside diameter of 200 mm. Find the Reynolds number Re.

ρ = 891 kg/m³μ = 0.29 Pa·sV = 0.75 m/sD = 200 mm
Re =
2.Easy
V = 2.25 m/sD = 75 mmρ = 891 kg/m³, μ = 0.29 Pa·s

SAE 30 motor oil (ρ = 891 kg/m³, μ = 0.29 Pa·s) flows at 2.25 m/s through a pipe with an inside diameter of 75 mm. Find the Reynolds number Re.

ρ = 891 kg/m³μ = 0.29 Pa·sV = 2.25 m/sD = 75 mm
Re =
3.Medium
V = 2.7 m/sD = 75 mmL = 1000 mf = 0.028

Water (ρ = 1000 kg/m³) flows at 2.7 m/s through a horizontal pipe, 1000 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 = 2.7 m/sL = 1000 mD = 75 mmf = 0.028ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 2 m/sD = 300 mmL = 100 mf = 0.028

Water flows at a mean velocity of 2 m/s through a pipe 100 m long with an inside diameter of 300 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the friction head loss hf.

V = 2 m/sL = 100 mD = 300 mmf = 0.028g = 9.81 m/s²
hf = m
5.Hard
K = 10free outletH = ?L = 150 m, D = 300 mm, f = 0.0152× bend (K = 0.3)

A pipe 150 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), 2 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 150 L/s?

Q = 150 L/sL = 150 mD = 300 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 10
H = m
6.Hard
K = 10free outletH = ?L = 150 m, D = 250 mm, f = 0.0222× bend (K = 0.3)

A pipe 150 m long with an inside diameter of 250 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), 2 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 50 L/s?

Q = 50 L/sL = 150 mD = 250 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 10
H = m

Answer key

  1. 1. Re = 460.9
  2. 2. Re = 518.5
  3. 3. Δp = 1361 kPa
  4. 4. hf = 1.903 m
  5. 5. H = 4.499 m
  6. 6. H = 1.338 m

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