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 = 2.75 m/sD = 200 mmρ = 850 kg/m³, μ = 0.005 Pa·s

Light fuel oil (ρ = 850 kg/m³, μ = 0.005 Pa·s) flows at 2.75 m/s through a pipe with an inside diameter of 200 mm. Find the Reynolds number Re.

ρ = 850 kg/m³μ = 0.005 Pa·sV = 2.75 m/sD = 200 mm
Re =
2.Easy
V = 1.25 m/sD = 100 mmρ = 850 kg/m³, μ = 0.005 Pa·s

Light fuel oil (ρ = 850 kg/m³, μ = 0.005 Pa·s) flows at 1.25 m/s through a pipe with an inside diameter of 100 mm. Find the Reynolds number Re.

ρ = 850 kg/m³μ = 0.005 Pa·sV = 1.25 m/sD = 100 mm
Re =
3.Medium
V = 2.4 m/sD = 50 mmL = 800 mf = 0.022

Water flows at a mean velocity of 2.4 m/s through a pipe 800 m long with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the friction head loss hf.

V = 2.4 m/sL = 800 mD = 50 mmf = 0.022g = 9.81 m/s²
hf = m
4.Medium
V = 2.9 m/sD = 200 mmL = 300 mf = 0.022

Water (ρ = 1000 kg/m³) flows at 2.9 m/s through a horizontal pipe, 300 m long, with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 2.9 m/sL = 300 mD = 200 mmf = 0.022ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 0.2free 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 = 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 100 L/s?

Q = 100 L/sL = 200 mD = 250 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 0.2
H = m
6.Hard
K = 5Δz = ?L = 100 m, D = 200 mm, f = 0.0222× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.022. 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. What difference in water level Δz between the reservoirs gives a flow rate of 80 L/s?

Q = 80 L/sL = 100 mD = 200 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 5Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 93500
  2. 2. Re = 21250
  3. 3. hf = 103.3 m
  4. 4. Δp = 138.8 kPa
  5. 5. H = 3.659 m
  6. 6. Δz = 5.982 m

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