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 = 40 mmρ = 850 kg/m³, μ = 0.005 Pa·s

Light fuel oil (ρ = 850 kg/m³, μ = 0.005 Pa·s) flows at 2.75 m/s through a pipe with an inside diameter of 40 mm. Find the Reynolds number Re.

ρ = 850 kg/m³μ = 0.005 Pa·sV = 2.75 m/sD = 40 mm
Re =
2.Easy
V = 1.25 m/sD = 200 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 200 mm. Find the Reynolds number Re.

ρ = 850 kg/m³μ = 0.005 Pa·sV = 1.25 m/sD = 200 mm
Re =
3.Medium
V = 1.7 m/sD = 250 mmL = 400 mf = 0.03

Water (ρ = 1000 kg/m³) flows at 1.7 m/s through a horizontal pipe, 400 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 = 1.7 m/sL = 400 mD = 250 mmf = 0.03ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 0.8 m/sD = 300 mmL = 800 mf = 0.028

Water flows at a mean velocity of 0.8 m/s through a pipe 800 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 = 0.8 m/sL = 800 mD = 300 mmf = 0.028g = 9.81 m/s²
hf = m
5.Hard
K = 10free outletH = ?L = 200 m, D = 200 mm, f = 0.0223× bend (K = 0.3)

A pipe 200 m long with an inside diameter of 200 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), 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 60 L/s?

Q = 60 L/sL = 200 mD = 200 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10
H = m
6.Hard
K = 2Δz = ?L = 150 m, D = 250 mm, f = 0.0223× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 250 mm and a Darcy friction factor f = 0.022. The minor losses are a square-edged entrance (K = 0.5), 3 bends (K = 0.3 each), a valve (K = 2) 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 60 L/s?

Q = 60 L/sL = 150 mD = 250 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 18700
  2. 2. Re = 42500
  3. 3. Δp = 69.36 kPa
  4. 4. hf = 2.436 m
  5. 5. H = 6.395 m
  6. 6. Δz = 1.34 m

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