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
Q = 15 L/sD = 200 mmν = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 10⁻⁶ m²/s) flows through a pipe with an inside diameter of 200 mm at 15 L/s. Find the Reynolds number Re.

Q = 15 L/sD = 200 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
V = 0.9 m/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 10⁻⁶ m²/s) flows at a mean velocity of 0.9 m/s through a pipe with an inside diameter of 40 mm. Find the Reynolds number Re.

V = 0.9 m/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s
Re =
3.Medium
V = 2.7 m/sD = 150 mmL = 50 mf = 0.03

Water flows at a mean velocity of 2.7 m/s through a pipe 50 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 = 50 mD = 150 mmf = 0.03g = 9.81 m/s²
hf = m
4.Medium
V = 1.6 m/sD = 50 mmL = 500 mf = 0.025

Water flows at a mean velocity of 1.6 m/s through a pipe 500 m long with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.025 and g = 9.81 m/s². Find the friction head loss hf.

V = 1.6 m/sL = 500 mD = 50 mmf = 0.025g = 9.81 m/s²
hf = m
5.Hard
K = 5Δz = ?L = 150 m, D = 200 mm, f = 0.0222× 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 = 0.022. The minor losses are a square-edged entrance (K = 0.5), 2 bends (K = 0.3 each), a valve (K = 5) 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 100 L/s?

Q = 100 L/sL = 150 mD = 200 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 5Kexit = 1.0
Δz = m
6.Hard
K = 2Δz = ?L = 300 m, D = 200 mm, f = 0.0154× bend (K = 0.3)

Two open reservoirs are joined by a pipe 300 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.015. The minor losses are a square-edged entrance (K = 0.5), 4 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 100 L/s?

Q = 100 L/sL = 300 mD = 200 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 72895
  2. 2. Re = 27481
  3. 3. hf = 3.716 m
  4. 4. hf = 32.62 m
  5. 5. Δz = 12.19 m
  6. 6. Δz = 14.05 m

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