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 = 0.2 m/sD = 50 mmν = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 10⁻⁶ m²/s) flows at a mean velocity of 0.2 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

V = 0.2 m/sD = 50 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
V = 2.75 m/sD = 50 mmρ = 880 kg/m³, μ = 0.04 Pa·s

Hydraulic oil (ρ = 880 kg/m³, μ = 0.04 Pa·s) flows at 2.75 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

ρ = 880 kg/m³μ = 0.04 Pa·sV = 2.75 m/sD = 50 mm
Re =
3.Medium
Q = 75 L/sD = 300 mmL = 300 mf = 0.028

Water flows at 75 L/s through a pipe 300 m long with an inside diameter of 300 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the friction head loss hf.

Q = 75 L/sL = 300 mD = 300 mmf = 0.028g = 9.81 m/s²
hf = m
4.Medium
V = 2.2 m/sD = 50 mmL = 300 mf = 0.025

Water flows at a mean velocity of 2.2 m/s through a pipe 300 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.

V = 2.2 m/sL = 300 mD = 50 mmf = 0.025g = 9.81 m/s²
hf = m
5.Hard
K = 5Δz = 25 mL = 150 m, D = 250 mm, f = 0.0222× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 250 mm and a Darcy friction factor f = 0.022. The water surface of the upper reservoir is 25 m above that of the lower one. 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. Find the flow rate Q in L/s.

Δz = 25 mL = 150 mD = 250 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 5Kexit = 1.0
Q = L/s
6.Hard
K = 2free outletH = ?L = 150 m, D = 200 mm, f = 0.023× bend (K = 0.3)

A pipe 150 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), 3 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 50 L/s?

Q = 50 L/sL = 150 mD = 200 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2
H = m

Answer key

  1. 1. Re = 7634
  2. 2. Re = 3025
  3. 3. hf = 1.607 m
  4. 4. hf = 37 m
  5. 5. Q = 241.3 L/s
  6. 6. H = 2.505 m

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