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 = 50 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 50 mm at 3 L/s. Find the Reynolds number Re.

Q = 3 L/sD = 50 mmν = 1.14 × 10⁻⁶ m²/s
Re =
2.Easy
V = 0.6 m/sD = 40 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows at a mean velocity of 0.6 m/s through a pipe with an inside diameter of 40 mm. Find the Reynolds number Re.

V = 0.6 m/sD = 40 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
V = 2.1 m/sD = 200 mmL = 300 mf = 0.025

Water flows at a mean velocity of 2.1 m/s through a pipe 300 m long with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.025 and g = 9.81 m/s². Find the friction head loss hf.

V = 2.1 m/sL = 300 mD = 200 mmf = 0.025g = 9.81 m/s²
hf = m
4.Medium
Q = 75 L/sD = 200 mmL = 50 mf = 0.022

Water flows at 75 L/s through a pipe 50 m long with an inside diameter of 200 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the friction head loss hf.

Q = 75 L/sL = 50 mD = 200 mmf = 0.022g = 9.81 m/s²
hf = m
5.Hard
K = 2free outletH = ?L = 200 m, D = 200 mm, f = 0.0152× bend (K = 0.3)

A pipe 200 m long with an inside diameter of 200 mm (Darcy friction factor f = 0.015) 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 100 L/s?

Q = 100 L/sL = 200 mD = 200 mmf = 0.015Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 2
H = m
6.Hard
K = 10Δz = ?L = 500 m, D = 300 mm, f = 0.0184× 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 = 0.018. 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 150 L/s?

Q = 150 L/sL = 500 mD = 300 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 10Kexit = 1.0
Δz = m

Answer key

  1. 1. Re = 67013
  2. 2. Re = 21053
  3. 3. hf = 8.429 m
  4. 4. hf = 1.598 m
  5. 5. H = 9.864 m
  6. 6. Δz = 9.8 m

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