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 = 100 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 100 mm at 15 L/s. Find the Reynolds number Re.

Q = 15 L/sD = 100 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
V = 2.9 m/sD = 100 mmν = 1.00 × 10⁻⁶ m²/s

Water at 20 °C (ν = 1.00 × 10⁻⁶ m²/s) flows at a mean velocity of 2.9 m/s through a pipe with an inside diameter of 100 mm. Find the Reynolds number Re.

V = 2.9 m/sD = 100 mmν = 1.00 × 10⁻⁶ m²/s
Re =
3.Medium
V = 3 m/sD = 150 mmL = 300 mf = 0.018

Water (ρ = 1000 kg/m³) flows at 3 m/s through a horizontal pipe, 300 m long, with an inside diameter of 150 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 3 m/sL = 300 mD = 150 mmf = 0.018ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 1 m/sD = 150 mmL = 150 mf = 0.025

Water (ρ = 1000 kg/m³) flows at 1 m/s through a horizontal pipe, 150 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 pressure drop Δp over the pipe in kPa.

V = 1 m/sL = 150 mD = 150 mmf = 0.025ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 2Δz = ?L = 100 m, D = 150 mm, f = 0.0183× 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 = 0.018. The minor losses are a square-edged entrance (K = 0.5), 3 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 60 L/s?

Q = 60 L/sL = 100 mD = 150 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2Kexit = 1.0
Δz = m
6.Hard
K = 2free outletH = ?L = 300 m, D = 250 mm, f = 0.0154× bend (K = 0.3)

A pipe 300 m long with an inside diameter of 250 mm (Darcy friction factor f = 0.015) 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 = 2). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 100 L/s?

Q = 100 L/sL = 300 mD = 250 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2
H = m

Answer key

  1. 1. Re = 145791
  2. 2. Re = 290000
  3. 3. Δp = 162 kPa
  4. 4. Δp = 12.5 kPa
  5. 5. Δz = 9.636 m
  6. 6. H = 4.802 m

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