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 = 1.25 m/sD = 25 mmρ = 850 kg/m³, μ = 0.005 Pa·s

Light fuel oil (ρ = 850 kg/m³, μ = 0.005 Pa·s) flows at 1.25 m/s through a pipe with an inside diameter of 25 mm. Find the Reynolds number Re.

ρ = 850 kg/m³μ = 0.005 Pa·sV = 1.25 m/sD = 25 mm
Re =
2.Easy
V = 0.75 m/sD = 50 mmρ = 850 kg/m³, μ = 0.005 Pa·s

Light fuel oil (ρ = 850 kg/m³, μ = 0.005 Pa·s) flows at 0.75 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

ρ = 850 kg/m³μ = 0.005 Pa·sV = 0.75 m/sD = 50 mm
Re =
3.Medium
V = 2.5 m/sD = 100 mmL = 1000 mf = 0.025

Water (ρ = 1000 kg/m³) flows at 2.5 m/s through a horizontal pipe, 1000 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 pressure drop Δp over the pipe in kPa.

V = 2.5 m/sL = 1000 mD = 100 mmf = 0.025ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 1.7 m/sD = 150 mmL = 50 mf = 0.028

Water flows at a mean velocity of 1.7 m/s through a pipe 50 m long with an inside diameter of 150 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the friction head loss hf.

V = 1.7 m/sL = 50 mD = 150 mmf = 0.028g = 9.81 m/s²
hf = m
5.Hard
K = 10free outletH = ?L = 500 m, D = 250 mm, f = 0.0154× bend (K = 0.3)

A pipe 500 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), 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 60 L/s?

Q = 60 L/sL = 500 mD = 250 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10
H = m
6.Hard
K = 10free outletH = ?L = 400 m, D = 300 mm, f = 0.023× bend (K = 0.3)

A pipe 400 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), 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 100 L/s?

Q = 100 L/sL = 400 mD = 300 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10
H = m

Answer key

  1. 1. Re = 5313
  2. 2. Re = 6375
  3. 3. Δp = 781.2 kPa
  4. 4. hf = 1.375 m
  5. 5. H = 3.252 m
  6. 6. H = 3.985 m

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