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 = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 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 = 1.31 × 10⁻⁶ m²/s
Re =
2.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 =
3.Medium
Q = 10 L/sD = 100 mmL = 150 mf = 0.02

Water flows at 10 L/s through a pipe 150 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 = 10 L/sL = 150 mD = 100 mmf = 0.02g = 9.81 m/s²
hf = m
4.Medium
V = 1.9 m/sD = 250 mmL = 800 mf = 0.02

Water flows at a mean velocity of 1.9 m/s through a pipe 800 m long with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.02 and g = 9.81 m/s². Find the friction head loss hf.

V = 1.9 m/sL = 800 mD = 250 mmf = 0.02g = 9.81 m/s²
hf = m
5.Hard
K = 2Δz = 24 mL = 500 m, D = 300 mm, f = 0.0152× bend (K = 0.3)

Two open reservoirs are joined by a pipe 500 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.015. The water surface of the upper reservoir is 24 m above that of the lower one. The minor losses are a square-edged entrance (K = 0.5), 2 bends (K = 0.3 each), a valve (K = 2) 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 = 24 mL = 500 mD = 300 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 2Kexit = 1.0
Q = L/s
6.Hard
K = 2free outletH = ?L = 150 m, D = 150 mm, f = 0.022× bend (K = 0.3)

A pipe 150 m long with an inside diameter of 150 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), 2 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 60 L/s?

Q = 60 L/sL = 150 mD = 150 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 2
H = m

Answer key

  1. 1. Re = 72895
  2. 2. Re = 84883
  3. 3. hf = 2.479 m
  4. 4. hf = 11.78 m
  5. 5. Q = 284.3 L/s
  6. 6. H = 14.16 m

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