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 = 4 L/sD = 40 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 40 mm at 4 L/s. Find the Reynolds number Re.

Q = 4 L/sD = 40 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
V = 0.75 m/sD = 150 mmρ = 850 kg/m³, μ = 0.005 Pa·s

Light fuel oil (ρ = 850 kg/m³, μ = 0.005 Pa·s) flows at 0.75 m/s through a pipe with an inside diameter of 150 mm. Find the Reynolds number Re.

ρ = 850 kg/m³μ = 0.005 Pa·sV = 0.75 m/sD = 150 mm
Re =
3.Medium
Q = 30 L/sD = 150 mmL = 500 mf = 0.02

Water flows at 30 L/s through a pipe 500 m long with an inside diameter of 150 mm. Use the Darcy friction factor f = 0.02 and g = 9.81 m/s². Find the friction head loss hf.

Q = 30 L/sL = 500 mD = 150 mmf = 0.02g = 9.81 m/s²
hf = m
4.Medium
V = 1.2 m/sD = 50 mmL = 300 mf = 0.03

Water (ρ = 1000 kg/m³) flows at 1.2 m/s through a horizontal pipe, 300 m long, with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 1.2 m/sL = 300 mD = 50 mmf = 0.03ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 10free outletH = ?L = 200 m, D = 250 mm, f = 0.0184× bend (K = 0.3)

A pipe 200 m long with an inside diameter of 250 mm (Darcy friction factor f = 0.018) 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 100 L/s?

Q = 100 L/sL = 200 mD = 250 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10
H = m
6.Hard
K = 0.2free outletH = ?L = 150 m, D = 250 mm, f = 0.0154× bend (K = 0.3)

A pipe 150 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 = 0.2). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 150 L/s?

Q = 150 L/sL = 150 mD = 250 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 0.2
H = m

Answer key

  1. 1. Re = 111688
  2. 2. Re = 19125
  3. 3. hf = 9.793 m
  4. 4. Δp = 129.6 kPa
  5. 5. H = 5.732 m
  6. 6. H = 5.664 m

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