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 = 1 m/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s

Water at 10 °C (ν = 1.31 × 10⁻⁶ m²/s) flows at a mean velocity of 1 m/s through a pipe with an inside diameter of 40 mm. Find the Reynolds number Re.

V = 1 m/sD = 40 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
V = 2.5 m/sD = 100 mmν = 1.00 × 10⁻⁶ m²/s

Water at 20 °C (ν = 1.00 × 10⁻⁶ m²/s) flows at a mean velocity of 2.5 m/s through a pipe with an inside diameter of 100 mm. Find the Reynolds number Re.

V = 2.5 m/sD = 100 mmν = 1.00 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 75 L/sD = 250 mmL = 300 mf = 0.022

Water flows at 75 L/s through a pipe 300 m long with an inside diameter of 250 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 = 300 mD = 250 mmf = 0.022g = 9.81 m/s²
hf = m
4.Medium
Q = 5 L/sD = 100 mmL = 1000 mf = 0.03

Water flows at 5 L/s through a pipe 1000 m long with an inside diameter of 100 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the friction head loss hf.

Q = 5 L/sL = 1000 mD = 100 mmf = 0.03g = 9.81 m/s²
hf = m
5.Hard
K = 0.2Δz = ?L = 150 m, D = 300 mm, f = 0.0182× bend (K = 0.3)

Two open reservoirs are joined by a pipe 150 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), 2 bends (K = 0.3 each), a valve (K = 0.2) 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 150 L/s?

Q = 150 L/sL = 150 mD = 300 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 0.2Kexit = 1.0
Δz = m
6.Hard
K = 2free outletH = ?L = 200 m, D = 200 mm, f = 0.023× bend (K = 0.3)

A pipe 200 m long with an inside diameter of 200 mm (Darcy friction factor f = 0.02) 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 50 L/s?

Q = 50 L/sL = 200 mD = 200 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 2
H = m

Answer key

  1. 1. Re = 30534
  2. 2. Re = 250000
  3. 3. hf = 3.141 m
  4. 4. hf = 6.197 m
  5. 5. Δz = 2.594 m
  6. 6. H = 3.15 m

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