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 = 3 m/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 10⁻⁶ m²/s) flows at a mean velocity of 3 m/s through a pipe with an inside diameter of 40 mm. Find the Reynolds number Re.

V = 3 m/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
V = 2.2 m/sD = 50 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows at a mean velocity of 2.2 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

V = 2.2 m/sD = 50 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 25 L/sD = 100 mmL = 50 mf = 0.02

Water flows at 25 L/s through a pipe 50 m long with an inside diameter of 100 mm. Use the Darcy friction factor f = 0.02 and g = 9.81 m/s². Find the friction head loss hf.

Q = 25 L/sL = 50 mD = 100 mmf = 0.02g = 9.81 m/s²
hf = m
4.Medium
V = 2.2 m/sD = 150 mmL = 500 mf = 0.025

Water (ρ = 1000 kg/m³) flows at 2.2 m/s through a horizontal pipe, 500 m long, with an inside diameter of 150 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 = 2.2 m/sL = 500 mD = 150 mmf = 0.025ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 2free outletH = ?L = 200 m, D = 150 mm, f = 0.0183× bend (K = 0.3)

A pipe 200 m long with an inside diameter of 150 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), 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 40 L/s?

Q = 40 L/sL = 200 mD = 150 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2
H = m
6.Hard
K = 5Δz = 26 mL = 300 m, D = 300 mm, f = 0.0224× 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 26 m above that of the lower one. 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. Find the flow rate Q in L/s.

Δz = 26 mL = 300 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5Kexit = 1.0
Q = L/s

Answer key

  1. 1. Re = 91603
  2. 2. Re = 96491
  3. 3. hf = 5.164 m
  4. 4. Δp = 201.7 kPa
  5. 5. H = 7.416 m
  6. 6. Q = 292.9 L/s

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