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 = 0.5 m/sD = 75 mmρ = 880 kg/m³, μ = 0.04 Pa·s

Hydraulic oil (ρ = 880 kg/m³, μ = 0.04 Pa·s) flows at 0.5 m/s through a pipe with an inside diameter of 75 mm. Find the Reynolds number Re.

ρ = 880 kg/m³μ = 0.04 Pa·sV = 0.5 m/sD = 75 mm
Re =
2.Easy
Q = 3 L/sD = 40 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 40 mm at 3 L/s. Find the Reynolds number Re.

Q = 3 L/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s
Re =
3.Medium
V = 1.7 m/sD = 300 mmL = 300 mf = 0.028

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

V = 1.7 m/sL = 300 mD = 300 mmf = 0.028ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 1.1 m/sD = 50 mmL = 100 mf = 0.028

Water (ρ = 1000 kg/m³) flows at 1.1 m/s through a horizontal pipe, 100 m long, with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 1.1 m/sL = 100 mD = 50 mmf = 0.028ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 10Δz = ?L = 150 m, D = 300 mm, f = 0.0253× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.025. 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 200 L/s?

Q = 200 L/sL = 150 mD = 300 mmf = 0.025Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Δz = m
6.Hard
K = 5Δz = ?L = 100 m, D = 100 mm, f = 0.024× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 100 mm and a Darcy friction factor f = 0.02. The minor losses are a square-edged entrance (K = 0.5), 4 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. What difference in water level Δz between the reservoirs gives a flow rate of 15 L/s?

Q = 15 L/sL = 100 mD = 100 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 825
  2. 2. Re = 72895
  3. 3. Δp = 40.46 kPa
  4. 4. Δp = 33.88 kPa
  5. 5. Δz = 10.16 m
  6. 6. Δz = 5.15 m

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