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 = 10 L/sD = 75 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 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 = 0.801 × 10⁻⁶ m²/s
Re =
2.Easy
V = 0.6 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 0.6 m/s through a pipe with an inside diameter of 150 mm. Find the Reynolds number Re.

V = 0.6 m/sD = 150 mmν = 1.00 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 75 L/sD = 250 mmL = 500 mf = 0.015

Water flows at 75 L/s through a pipe 500 m long with an inside diameter of 250 mm. Use the Darcy friction factor f = 0.015 and g = 9.81 m/s². Find the friction head loss hf.

Q = 75 L/sL = 500 mD = 250 mmf = 0.015g = 9.81 m/s²
hf = m
4.Medium
Q = 3 L/sD = 50 mmL = 1000 mf = 0.028

Water flows at 3 L/s through a pipe 1000 m long with an inside diameter of 50 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the friction head loss hf.

Q = 3 L/sL = 1000 mD = 50 mmf = 0.028g = 9.81 m/s²
hf = m
5.Hard
K = 2Δz = 21 mL = 100 m, D = 150 mm, f = 0.024× 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 = 0.02. The water surface of the upper reservoir is 21 m above that of the lower one. The minor losses are a square-edged entrance (K = 0.5), 4 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. Find the flow rate Q in L/s.

Δz = 21 mL = 100 mD = 150 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2Kexit = 1.0
Q = L/s
6.Hard
K = 0.2free outletH = ?L = 150 m, D = 300 mm, f = 0.024× bend (K = 0.3)

A pipe 150 m long with an inside diameter of 300 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), 4 bends (K = 0.3 each) and a valve (K = 0.2). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 150 L/s?

Q = 150 L/sL = 150 mD = 300 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 0.2
H = m

Answer key

  1. 1. Re = 211942
  2. 2. Re = 90000
  3. 3. hf = 3.569 m
  4. 4. hf = 66.63 m
  5. 5. Q = 84.47 L/s
  6. 6. H = 2.961 m

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