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.

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1.Easy
V = 2.4 m/sD = 75 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows at a mean velocity of 2.4 m/s through a pipe with an inside diameter of 75 mm. Find the Reynolds number Re.

V = 2.4 m/sD = 75 mmν = 0.801 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 3 L/sD = 40 mmν = 1.00 × 10⁻⁶ m²/s

Water at 20 °C (ν = 1.00 × 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 = 1.00 × 10⁻⁶ m²/s
Re =
3.Medium
V = 1.2 m/sD = 75 mmL = 300 mf = 0.028

Water (ρ = 1000 kg/m³) flows at 1.2 m/s through a horizontal pipe, 300 m long, with an inside diameter of 75 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 = 1.2 m/sL = 300 mD = 75 mmf = 0.028ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 2.6 m/sD = 75 mmL = 500 mf = 0.025

Water (ρ = 1000 kg/m³) flows at 2.6 m/s through a horizontal pipe, 500 m long, with an inside diameter of 75 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 = 2.6 m/sL = 500 mD = 75 mmf = 0.025ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 2Δz = 20 mL = 300 m, D = 300 mm, f = 0.0223× bend (K = 0.3)

Two open reservoirs are joined by a pipe 300 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.022. The water surface of the upper reservoir is 20 m above that of the lower one. The minor losses are a square-edged entrance (K = 0.5), 3 bends (K = 0.3 each), a valve (K = 2) 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 = 20 mL = 300 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2Kexit = 1.0
Q = L/s
6.Hard
K = 0.2free outletH = ?L = 150 m, D = 300 mm, f = 0.0224× bend (K = 0.3)

A pipe 150 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), 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 = 150 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 0.2
H = m

Answer key

  1. 1. Re = 224719
  2. 2. Re = 95493
  3. 3. Δp = 80.64 kPa
  4. 4. Δp = 563.3 kPa
  5. 5. Q = 272.5 L/s
  6. 6. H = 1.418 m

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