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 = 5 L/sD = 75 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 75 mm at 5 L/s. Find the Reynolds number Re.

Q = 5 L/sD = 75 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
V = 1.7 m/sD = 25 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows at a mean velocity of 1.7 m/s through a pipe with an inside diameter of 25 mm. Find the Reynolds number Re.

V = 1.7 m/sD = 25 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 50 L/sD = 200 mmL = 500 mf = 0.03

Water flows at 50 L/s through a pipe 500 m long with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the friction head loss hf.

Q = 50 L/sL = 500 mD = 200 mmf = 0.03g = 9.81 m/s²
hf = m
4.Medium
Q = 12 L/sD = 75 mmL = 400 mf = 0.018

Water flows at 12 L/s through a pipe 400 m long with an inside diameter of 75 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the friction head loss hf.

Q = 12 L/sL = 400 mD = 75 mmf = 0.018g = 9.81 m/s²
hf = m
5.Hard
K = 10Δz = ?L = 100 m, D = 100 mm, f = 0.0183× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 100 mm and a Darcy friction factor f = 0.018. 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 10 L/s?

Q = 10 L/sL = 100 mD = 100 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Δz = m
6.Hard
K = 10Δz = 7 mL = 300 m, D = 300 mm, f = 0.024× bend (K = 0.3)

Two open reservoirs are joined by a pipe 300 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.02. The water surface of the upper reservoir is 7 m above that of the lower one. 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. Find the flow rate Q in L/s.

Δz = 7 mL = 300 mD = 300 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10Kexit = 1.0
Q = L/s

Answer key

  1. 1. Re = 64796
  2. 2. Re = 37281
  3. 3. hf = 9.683 m
  4. 4. hf = 36.1 m
  5. 5. Δz = 2.512 m
  6. 6. Q = 144.9 L/s

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