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 m/sD = 25 mmρ = 880 kg/m³, μ = 0.04 Pa·s

Hydraulic oil (ρ = 880 kg/m³, μ = 0.04 Pa·s) flows at 2 m/s through a pipe with an inside diameter of 25 mm. Find the Reynolds number Re.

ρ = 880 kg/m³μ = 0.04 Pa·sV = 2 m/sD = 25 mm
Re =
2.Easy
V = 0.5 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 0.5 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 = 0.5 m/sD = 25 mm
Re =
3.Medium
V = 0.9 m/sD = 250 mmL = 50 mf = 0.03

Water (ρ = 1000 kg/m³) flows at 0.9 m/s through a horizontal pipe, 50 m long, with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 0.9 m/sL = 50 mD = 250 mmf = 0.03ρ = 1000 kg/m³
Δp = kPa
4.Medium
Q = 75 L/sD = 300 mmL = 800 mf = 0.025

Water flows at 75 L/s through a pipe 800 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 = 800 mD = 300 mmf = 0.025g = 9.81 m/s²
hf = m
5.Hard
K = 5free outletH = ?L = 100 m, D = 200 mm, f = 0.0184× bend (K = 0.3)

A pipe 100 m long with an inside diameter of 200 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), 4 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 = 100 mD = 200 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5
H = m
6.Hard
K = 2free outletH = ?L = 300 m, D = 250 mm, f = 0.0153× bend (K = 0.3)

A pipe 300 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 = 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 = 300 mD = 250 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2
H = m

Answer key

  1. 1. Re = 1100
  2. 2. Re = 2125
  3. 3. Δp = 2.43 kPa
  4. 4. hf = 3.825 m
  5. 5. H = 3.105 m
  6. 6. H = 4.738 m

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