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 = 15 L/sD = 150 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 150 mm at 15 L/s. Find the Reynolds number Re.

Q = 15 L/sD = 150 mmν = 1.00 × 10⁻⁶ m²/s
Re =
2.Easy
V = 1.9 m/sD = 75 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows at a mean velocity of 1.9 m/s through a pipe with an inside diameter of 75 mm. Find the Reynolds number Re.

V = 1.9 m/sD = 75 mmν = 0.801 × 10⁻⁶ m²/s
Re =
3.Medium
V = 1 m/sD = 150 mmL = 150 mf = 0.015

Water flows at a mean velocity of 1 m/s through a pipe 150 m long with an inside diameter of 150 mm. Use the Darcy friction factor f = 0.015 and g = 9.81 m/s². Find the friction head loss hf.

V = 1 m/sL = 150 mD = 150 mmf = 0.015g = 9.81 m/s²
hf = m
4.Medium
Q = 15 L/sD = 75 mmL = 800 mf = 0.022

Water flows at 15 L/s through a pipe 800 m long with an inside diameter of 75 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the friction head loss hf.

Q = 15 L/sL = 800 mD = 75 mmf = 0.022g = 9.81 m/s²
hf = m
5.Hard
K = 10Δz = ?L = 300 m, D = 300 mm, f = 0.0224× bend (K = 0.3)

Two open reservoirs are joined by a pipe 300 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.022. The minor losses are a square-edged entrance (K = 0.5), 4 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. What difference in water level Δz between the reservoirs gives a flow rate of 200 L/s?

Q = 200 L/sL = 300 mD = 300 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10Kexit = 1.0
Δz = m
6.Hard
K = 2free outletH = ?L = 100 m, D = 300 mm, f = 0.0253× bend (K = 0.3)

A pipe 100 m long with an inside diameter of 300 mm (Darcy friction factor f = 0.025) 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 = 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 = 0.025Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2
H = m

Answer key

  1. 1. Re = 127324
  2. 2. Re = 177903
  3. 3. hf = 0.7645 m
  4. 4. hf = 137.9 m
  5. 5. Δz = 14.16 m
  6. 6. H = 0.8313 m

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