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
Q = 5 L/sD = 75 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 75 mm at 5 L/s. Find the Reynolds number Re.

Q = 5 L/sD = 75 mmν = 1.00 × 10⁻⁶ m²/s
Re =
2.Easy
V = 0.5 m/sD = 75 mmν = 1.00 × 10⁻⁶ m²/s

Water at 20 °C (ν = 1.00 × 10⁻⁶ m²/s) flows at a mean velocity of 0.5 m/s through a pipe with an inside diameter of 75 mm. Find the Reynolds number Re.

V = 0.5 m/sD = 75 mmν = 1.00 × 10⁻⁶ m²/s
Re =
3.Medium
V = 2.3 m/sD = 75 mmL = 200 mf = 0.022

Water (ρ = 1000 kg/m³) flows at 2.3 m/s through a horizontal pipe, 200 m long, with an inside diameter of 75 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 = 2.3 m/sL = 200 mD = 75 mmf = 0.022ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 2.2 m/sD = 50 mmL = 300 mf = 0.022

Water flows at a mean velocity of 2.2 m/s through a pipe 300 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 = 2.2 m/sL = 300 mD = 50 mmf = 0.022g = 9.81 m/s²
hf = m
5.Hard
K = 10free outletH = ?L = 150 m, D = 250 mm, f = 0.0223× bend (K = 0.3)

A pipe 150 m long with an inside diameter of 250 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), 3 bends (K = 0.3 each) and a valve (K = 10). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 75 L/s?

Q = 75 L/sL = 150 mD = 250 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10
H = m
6.Hard
K = 5free outletH = ?L = 300 m, D = 250 mm, f = 0.023× bend (K = 0.3)

A pipe 300 m long with an inside diameter of 250 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), 3 bends (K = 0.3 each) and a valve (K = 5). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 150 L/s?

Q = 150 L/sL = 300 mD = 250 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 5
H = m

Answer key

  1. 1. Re = 84883
  2. 2. Re = 37500
  3. 3. Δp = 155.2 kPa
  4. 4. hf = 32.56 m
  5. 5. H = 3.046 m
  6. 6. H = 14.94 m

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