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 = 8 L/sD = 150 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 150 mm at 8 L/s. Find the Reynolds number Re.

Q = 8 L/sD = 150 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 10 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 10 L/s. Find the Reynolds number Re.

Q = 10 L/sD = 75 mmν = 1.00 × 10⁻⁶ m²/s
Re =
3.Medium
V = 2.4 m/sD = 75 mmL = 500 mf = 0.022

Water flows at a mean velocity of 2.4 m/s through a pipe 500 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.

V = 2.4 m/sL = 500 mD = 75 mmf = 0.022g = 9.81 m/s²
hf = m
4.Medium
Q = 25 L/sD = 150 mmL = 800 mf = 0.028

Water flows at 25 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 = 25 L/sL = 800 mD = 150 mmf = 0.028g = 9.81 m/s²
hf = m
5.Hard
K = 10Δz = 13 mL = 100 m, D = 150 mm, f = 0.0153× 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 = 0.015. The water surface of the upper reservoir is 13 m above that of the lower one. The minor losses are a square-edged entrance (K = 0.5), 3 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 = 13 mL = 100 mD = 150 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Q = L/s
6.Hard
K = 5Δz = ?L = 200 m, D = 200 mm, f = 0.022× bend (K = 0.3)

Two open reservoirs are joined by a pipe 200 m long with an inside diameter of 200 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 = 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 40 L/s?

Q = 40 L/sL = 200 mD = 200 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 5Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 51837
  2. 2. Re = 169765
  3. 3. hf = 43.06 m
  4. 4. hf = 15.23 m
  5. 5. Q = 59.63 L/s
  6. 6. Δz = 2.239 m

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