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 = 2.4 m/sD = 50 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows at a mean velocity of 2.4 m/s through a pipe with an inside diameter of 50 mm. Find the Reynolds number Re.

V = 2.4 m/sD = 50 mmν = 0.801 × 10⁻⁶ m²/s
Re =
2.Easy
V = 2.3 m/sD = 150 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows at a mean velocity of 2.3 m/s through a pipe with an inside diameter of 150 mm. Find the Reynolds number Re.

V = 2.3 m/sD = 150 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 12 L/sD = 150 mmL = 800 mf = 0.028

Water flows at 12 L/s through a pipe 800 m long with an inside diameter of 150 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the friction head loss hf.

Q = 12 L/sL = 800 mD = 150 mmf = 0.028g = 9.81 m/s²
hf = m
4.Medium
V = 2.2 m/sD = 200 mmL = 800 mf = 0.03

Water flows at a mean velocity of 2.2 m/s through a pipe 800 m long with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the friction head loss hf.

V = 2.2 m/sL = 800 mD = 200 mmf = 0.03g = 9.81 m/s²
hf = m
5.Hard
K = 10Δz = 36 mL = 300 m, D = 150 mm, f = 0.0152× bend (K = 0.3)

Two open reservoirs are joined by a pipe 300 m long with an inside diameter of 150 mm and a Darcy friction factor f = 0.015. The water surface of the upper reservoir is 36 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 = 10) 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 = 36 mL = 300 mD = 150 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 10Kexit = 1.0
Q = L/s
6.Hard
K = 10free outletH = ?L = 400 m, D = 250 mm, f = 0.0184× bend (K = 0.3)

A pipe 400 m long with an inside diameter of 250 mm (Darcy friction factor f = 0.018) 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 = 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 = 400 mD = 250 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10
H = m

Answer key

  1. 1. Re = 149813
  2. 2. Re = 302632
  3. 3. hf = 3.51 m
  4. 4. hf = 29.6 m
  5. 5. Q = 72.38 L/s
  6. 6. H = 4.938 m

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