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 = 3 L/sD = 40 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 40 mm at 3 L/s. Find the Reynolds number Re.

Q = 3 L/sD = 40 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
V = 1 m/sD = 200 mmν = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 10⁻⁶ m²/s) flows at a mean velocity of 1 m/s through a pipe with an inside diameter of 200 mm. Find the Reynolds number Re.

V = 1 m/sD = 200 mmν = 1.31 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 40 L/sD = 150 mmL = 800 mf = 0.018

Water flows at 40 L/s through a pipe 800 m long with an inside diameter of 150 mm. Use the Darcy friction factor f = 0.018 and g = 9.81 m/s². Find the friction head loss hf.

Q = 40 L/sL = 800 mD = 150 mmf = 0.018g = 9.81 m/s²
hf = m
4.Medium
Q = 40 L/sD = 250 mmL = 100 mf = 0.03

Water flows at 40 L/s through a pipe 100 m long with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the friction head loss hf.

Q = 40 L/sL = 100 mD = 250 mmf = 0.03g = 9.81 m/s²
hf = m
5.Hard
K = 5Δz = 38 mL = 100 m, D = 150 mm, f = 0.0254× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 150 mm and a Darcy friction factor f = 0.025. The water surface of the upper reservoir is 38 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 = 38 mL = 100 mD = 150 mmf = 0.025Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5Kexit = 1.0
Q = L/s
6.Hard
K = 0.2free outletH = ?L = 100 m, D = 200 mm, f = 0.0153× bend (K = 0.3)

A pipe 100 m long with an inside diameter of 200 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), 3 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 40 L/s?

Q = 40 L/sL = 100 mD = 200 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 0.2
H = m

Answer key

  1. 1. Re = 83766
  2. 2. Re = 152672
  3. 3. hf = 25.07 m
  4. 4. hf = 0.4061 m
  5. 5. Q = 97.75 L/s
  6. 6. H = 0.8345 m

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