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 = 0.5 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 0.5 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 = 0.5 m/sD = 75 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
Q = 100 L/sD = 200 mmL = 300 mf = 0.018

Water flows at 100 L/s through a pipe 300 m long with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the friction head loss hf.

Q = 100 L/sL = 300 mD = 200 mmf = 0.018g = 9.81 m/s²
hf = m
4.Medium
V = 2.7 m/sD = 150 mmL = 500 mf = 0.03

Water flows at a mean velocity of 2.7 m/s through a pipe 500 m long with an inside diameter of 150 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the friction head loss hf.

V = 2.7 m/sL = 500 mD = 150 mmf = 0.03g = 9.81 m/s²
hf = m
5.Hard
K = 0.2free outletH = ?L = 100 m, D = 200 mm, f = 0.0153× bend (K = 0.3)

A pipe 100 m long with an inside diameter of 200 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 = 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 40 L/s?

Q = 40 L/sL = 100 mD = 200 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 0.2
H = m
6.Hard
K = 10Δz = ?L = 100 m, D = 150 mm, f = 0.0224× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 150 mm and a Darcy friction factor f = 0.022. The minor losses are a square-edged entrance (K = 0.5), 4 bends (K = 0.3 each), a valve (K = 10) and the exit into the lower reservoir (K = 1.0). Use g = 9.81 m/s². What difference in water level Δz between the reservoirs gives a flow rate of 40 L/s?

Q = 40 L/sL = 100 mD = 150 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 825
  2. 2. Re = 518.5
  3. 3. hf = 13.94 m
  4. 4. hf = 37.16 m
  5. 5. H = 0.8345 m
  6. 6. Δz = 7.147 m

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