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 = 2.5 m/sD = 50 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows at a mean velocity of 2.5 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

V = 2.5 m/sD = 50 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 2 L/sD = 50 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows through a pipe with an inside diameter of 50 mm at 2 L/s. Find the Reynolds number Re.

Q = 2 L/sD = 50 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
V = 1.5 m/sD = 50 mmL = 300 mf = 0.015

Water (ρ = 1000 kg/m³) flows at 1.5 m/s through a horizontal pipe, 300 m long, with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.015 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 1.5 m/sL = 300 mD = 50 mmf = 0.015ρ = 1000 kg/m³
Δp = kPa
4.Medium
Q = 15 L/sD = 100 mmL = 100 mf = 0.022

Water flows at 15 L/s through a pipe 100 m long with an inside diameter of 100 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the friction head loss hf.

Q = 15 L/sL = 100 mD = 100 mmf = 0.022g = 9.81 m/s²
hf = m
5.Hard
K = 10Δz = ?L = 100 m, D = 150 mm, f = 0.0222× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 150 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 30 L/s?

Q = 30 L/sL = 100 mD = 150 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 10Kexit = 1.0
Δz = m
6.Hard
K = 10Δz = ?L = 500 m, D = 250 mm, f = 0.0153× bend (K = 0.3)

Two open reservoirs are joined by a pipe 500 m long with an inside diameter of 250 mm and a Darcy friction factor f = 0.015. 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 50 L/s?

Q = 50 L/sL = 500 mD = 250 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 109649
  2. 2. Re = 44675
  3. 3. Δp = 101.2 kPa
  4. 4. hf = 4.09 m
  5. 5. Δz = 3.932 m
  6. 6. Δz = 2.242 m

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