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 = 2.4 m/sD = 100 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows at a mean velocity of 2.4 m/s through a pipe with an inside diameter of 100 mm. Find the Reynolds number Re.

V = 2.4 m/sD = 100 mmν = 0.801 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 5 L/sD = 50 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 50 mm at 5 L/s. Find the Reynolds number Re.

Q = 5 L/sD = 50 mmν = 0.801 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 5 L/sD = 50 mmL = 800 mf = 0.025

Water flows at 5 L/s through a pipe 800 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.

Q = 5 L/sL = 800 mD = 50 mmf = 0.025g = 9.81 m/s²
hf = m
4.Medium
Q = 2 L/sD = 50 mmL = 150 mf = 0.018

Water flows at 2 L/s through a pipe 150 m long with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the friction head loss hf.

Q = 2 L/sL = 150 mD = 50 mmf = 0.018g = 9.81 m/s²
hf = m
5.Hard
K = 5Δz = ?L = 100 m, D = 100 mm, f = 0.0152× 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 = 0.015. 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 10 L/s?

Q = 10 L/sL = 100 mD = 100 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 5Kexit = 1.0
Δz = m
6.Hard
K = 10free outletH = ?L = 200 m, D = 200 mm, f = 0.024× bend (K = 0.3)

A pipe 200 m long with an inside diameter of 200 mm (Darcy friction factor f = 0.02) 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), 4 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 80 L/s?

Q = 80 L/sL = 200 mD = 200 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10
H = m

Answer key

  1. 1. Re = 299625
  2. 2. Re = 158956
  3. 3. hf = 132.2 m
  4. 4. hf = 2.856 m
  5. 5. Δz = 1.826 m
  6. 6. H = 10.81 m

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