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 = 1 m/sD = 150 mmρ = 891 kg/m³, μ = 0.29 Pa·s

SAE 30 motor oil (ρ = 891 kg/m³, μ = 0.29 Pa·s) flows at 1 m/s through a pipe with an inside diameter of 150 mm. Find the Reynolds number Re.

ρ = 891 kg/m³μ = 0.29 Pa·sV = 1 m/sD = 150 mm
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
V = 1.9 m/sD = 150 mmL = 100 mf = 0.028

Water flows at a mean velocity of 1.9 m/s through a pipe 100 m long with an inside diameter of 150 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the friction head loss hf.

V = 1.9 m/sL = 100 mD = 150 mmf = 0.028g = 9.81 m/s²
hf = m
4.Medium
V = 1.7 m/sD = 200 mmL = 50 mf = 0.03

Water (ρ = 1000 kg/m³) flows at 1.7 m/s through a horizontal pipe, 50 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 pressure drop Δp over the pipe in kPa.

V = 1.7 m/sL = 50 mD = 200 mmf = 0.03ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 0.2free outletH = ?L = 100 m, D = 300 mm, f = 0.0223× bend (K = 0.3)

A pipe 100 m long with an inside diameter of 300 mm (Darcy friction factor f = 0.022) 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), 3 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 200 L/s?

Q = 200 L/sL = 100 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 0.2
H = m
6.Hard
K = 2free outletH = ?L = 400 m, D = 300 mm, f = 0.0182× bend (K = 0.3)

A pipe 400 m long with an inside diameter of 300 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), 2 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 80 L/s?

Q = 80 L/sL = 400 mD = 300 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 2
H = m

Answer key

  1. 1. Re = 460.9
  2. 2. Re = 158956
  3. 3. hf = 3.435 m
  4. 4. Δp = 10.84 kPa
  5. 5. H = 4.053 m
  6. 6. H = 1.835 m

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