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 = 4 L/sD = 50 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 50 mm at 4 L/s. Find the Reynolds number Re.

Q = 4 L/sD = 50 mmν = 1.00 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 6 L/sD = 75 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows through a pipe with an inside diameter of 75 mm at 6 L/s. Find the Reynolds number Re.

Q = 6 L/sD = 75 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
V = 3 m/sD = 50 mmL = 50 mf = 0.03

Water (ρ = 1000 kg/m³) flows at 3 m/s through a horizontal pipe, 50 m long, with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 3 m/sL = 50 mD = 50 mmf = 0.03ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 0.8 m/sD = 250 mmL = 800 mf = 0.025

Water (ρ = 1000 kg/m³) flows at 0.8 m/s through a horizontal pipe, 800 m long, with an inside diameter of 250 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 = 0.8 m/sL = 800 mD = 250 mmf = 0.025ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 5Δz = ?L = 150 m, D = 100 mm, f = 0.0182× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 100 mm and a Darcy friction factor f = 0.018. 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 12 L/s?

Q = 12 L/sL = 150 mD = 100 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 5Kexit = 1.0
Δz = m
6.Hard
K = 5free outletH = ?L = 300 m, D = 300 mm, f = 0.0154× bend (K = 0.3)

A pipe 300 m long with an inside diameter of 300 mm (Darcy friction factor f = 0.015) 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 = 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 = 300 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5
H = m

Answer key

  1. 1. Re = 101859
  2. 2. Re = 89350
  3. 3. Δp = 135 kPa
  4. 4. Δp = 25.6 kPa
  5. 5. Δz = 4.057 m
  6. 6. H = 5.21 m

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