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 = 8 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 8 L/s. Find the Reynolds number Re.

Q = 8 L/sD = 100 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
V = 0.5 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 0.5 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 = 0.5 m/sD = 50 mm
Re =
3.Medium
V = 1.7 m/sD = 50 mmL = 100 mf = 0.025

Water (ρ = 1000 kg/m³) flows at 1.7 m/s through a horizontal pipe, 100 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 pressure drop Δp over the pipe in kPa.

V = 1.7 m/sL = 100 mD = 50 mmf = 0.025ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 2 m/sD = 300 mmL = 800 mf = 0.02

Water (ρ = 1000 kg/m³) flows at 2 m/s through a horizontal pipe, 800 m long, with an inside diameter of 300 mm. Use the Darcy friction factor f = 0.02 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 2 m/sL = 800 mD = 300 mmf = 0.02ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 10Δz = ?L = 200 m, D = 250 mm, f = 0.0253× bend (K = 0.3)

Two open reservoirs are joined by a pipe 200 m long with an inside diameter of 250 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 75 L/s?

Q = 75 L/sL = 200 mD = 250 mmf = 0.025Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Δz = m
6.Hard
K = 2free outletH = ?L = 300 m, D = 200 mm, f = 0.024× bend (K = 0.3)

A pipe 300 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), 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 60 L/s?

Q = 60 L/sL = 300 mD = 200 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2
H = m

Answer key

  1. 1. Re = 77755
  2. 2. Re = 550
  3. 3. Δp = 72.25 kPa
  4. 4. Δp = 106.7 kPa
  5. 5. Δz = 3.855 m
  6. 6. H = 6.451 m

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