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 = 75 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 75 mm at 15 L/s. Find the Reynolds number Re.

Q = 15 L/sD = 75 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
V = 0.9 m/sD = 150 mmν = 1.00 × 10⁻⁶ m²/s

Water at 20 °C (ν = 1.00 × 10⁻⁶ m²/s) flows at a mean velocity of 0.9 m/s through a pipe with an inside diameter of 150 mm. Find the Reynolds number Re.

V = 0.9 m/sD = 150 mmν = 1.00 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 30 L/sD = 150 mmL = 50 mf = 0.028

Water flows at 30 L/s through a pipe 50 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 = 30 L/sL = 50 mD = 150 mmf = 0.028g = 9.81 m/s²
hf = m
4.Medium
Q = 20 L/sD = 200 mmL = 150 mf = 0.015

Water flows at 20 L/s through a pipe 150 m long with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.015 and g = 9.81 m/s². Find the friction head loss hf.

Q = 20 L/sL = 150 mD = 200 mmf = 0.015g = 9.81 m/s²
hf = m
5.Hard
K = 5Δz = ?L = 150 m, D = 200 mm, f = 0.0184× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 m long with an inside diameter of 200 mm and a Darcy friction factor f = 0.018. 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. What difference in water level Δz between the reservoirs gives a flow rate of 75 L/s?

Q = 75 L/sL = 150 mD = 200 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 5Kexit = 1.0
Δz = m
6.Hard
K = 2Δz = ?L = 100 m, D = 100 mm, f = 0.022× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 100 mm and a Darcy friction factor f = 0.02. 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. What difference in water level Δz between the reservoirs gives a flow rate of 8 L/s?

Q = 8 L/sL = 100 mD = 100 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 2Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 223375
  2. 2. Re = 135000
  3. 3. hf = 1.371 m
  4. 4. hf = 0.2324 m
  5. 5. Δz = 6.158 m
  6. 6. Δz = 1.274 m

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