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 = 1.7 m/sD = 200 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows at a mean velocity of 1.7 m/s through a pipe with an inside diameter of 200 mm. Find the Reynolds number Re.

V = 1.7 m/sD = 200 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 100 L/sD = 200 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 200 mm at 100 L/s. Find the Reynolds number Re.

Q = 100 L/sD = 200 mmν = 1.00 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 75 L/sD = 200 mmL = 1000 mf = 0.022

Water flows at 75 L/s through a pipe 1000 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 friction head loss hf.

Q = 75 L/sL = 1000 mD = 200 mmf = 0.022g = 9.81 m/s²
hf = m
4.Medium
V = 1.8 m/sD = 150 mmL = 50 mf = 0.025

Water flows at a mean velocity of 1.8 m/s through a pipe 50 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 friction head loss hf.

V = 1.8 m/sL = 50 mD = 150 mmf = 0.025g = 9.81 m/s²
hf = m
5.Hard
K = 0.2free outletH = ?L = 100 m, D = 300 mm, f = 0.0224× bend (K = 0.3)

A pipe 100 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 80 L/s?

Q = 80 L/sL = 100 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 0.2
H = m
6.Hard
K = 5Δz = ?L = 150 m, D = 300 mm, f = 0.0252× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.025. 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 200 L/s?

Q = 200 L/sL = 150 mD = 300 mmf = 0.025Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 5Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 298246
  2. 2. Re = 636620
  3. 3. hf = 31.95 m
  4. 4. hf = 1.376 m
  5. 5. H = 0.6681 m
  6. 6. Δz = 7.997 m

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