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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
V = 2.75 m/sD = 150 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 150 mm. Find the Reynolds number Re.

ρ = 850 kg/m³μ = 0.005 Pa·sV = 2.75 m/sD = 150 mm
Re =
2.Easy
Q = 60 L/sD = 150 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows through a pipe with an inside diameter of 150 mm at 60 L/s. Find the Reynolds number Re.

Q = 60 L/sD = 150 mmν = 0.801 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 50 L/sD = 150 mmL = 800 mf = 0.025

Water flows at 50 L/s through a pipe 800 m long with an inside diameter of 150 mm. Use the Darcy friction factor f = 0.025 and g = 9.81 m/s². Find the friction head loss hf.

Q = 50 L/sL = 800 mD = 150 mmf = 0.025g = 9.81 m/s²
hf = m
4.Medium
V = 2.7 m/sD = 250 mmL = 300 mf = 0.018

Water flows at a mean velocity of 2.7 m/s through a pipe 300 m long with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the friction head loss hf.

V = 2.7 m/sL = 300 mD = 250 mmf = 0.018g = 9.81 m/s²
hf = m
5.Hard
K = 10Δz = ?L = 150 m, D = 200 mm, f = 0.023× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.02. The minor losses are a square-edged entrance (K = 0.5), 3 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 = 150 mD = 200 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Δz = m
6.Hard
K = 10Δz = ?L = 100 m, D = 250 mm, f = 0.0222× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 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), 2 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 120 L/s?

Q = 120 L/sL = 100 mD = 250 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 10Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 70125
  2. 2. Re = 635825
  3. 3. hf = 54.4 m
  4. 4. hf = 8.026 m
  5. 5. Δz = 2.264 m
  6. 6. Δz = 6.366 m

Full step-by-step solutions: practise this topic on examproblems.com.