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 = 100 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 100 mm at 8 L/s. Find the Reynolds number Re.

Q = 8 L/sD = 100 mmν = 1.31 × 10⁻⁶ m²/s
Re =
2.Easy
V = 2.7 m/sD = 75 mmν = 1.14 × 10⁻⁶ m²/s

Water at 15 °C (ν = 1.14 × 10⁻⁶ m²/s) flows at a mean velocity of 2.7 m/s through a pipe with an inside diameter of 75 mm. Find the Reynolds number Re.

V = 2.7 m/sD = 75 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
V = 2 m/sD = 75 mmL = 150 mf = 0.03

Water flows at a mean velocity of 2 m/s through a pipe 150 m long with an inside diameter of 75 mm. Use the Darcy friction factor f = 0.03 and g = 9.81 m/s². Find the friction head loss hf.

V = 2 m/sL = 150 mD = 75 mmf = 0.03g = 9.81 m/s²
hf = m
4.Medium
V = 1.8 m/sD = 75 mmL = 150 mf = 0.02

Water (ρ = 1000 kg/m³) flows at 1.8 m/s through a horizontal pipe, 150 m long, with an inside diameter of 75 mm. Use the Darcy friction factor f = 0.02 and g = 9.81 m/s². Find the pressure drop Δp over the pipe in kPa.

V = 1.8 m/sL = 150 mD = 75 mmf = 0.02ρ = 1000 kg/m³
Δp = kPa
5.Hard
K = 10Δz = 16 mL = 100 m, D = 300 mm, f = 0.0183× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 300 mm and a Darcy friction factor f = 0.018. The water surface of the upper reservoir is 16 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 = 16 mL = 100 mD = 300 mmf = 0.018Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 10Kexit = 1.0
Q = L/s
6.Hard
K = 5free outletH = ?L = 400 m, D = 300 mm, f = 0.022× bend (K = 0.3)

A pipe 400 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), 2 bends (K = 0.3 each) and a valve (K = 5). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 75 L/s?

Q = 75 L/sL = 400 mD = 300 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 5
H = m

Answer key

  1. 1. Re = 77755
  2. 2. Re = 177632
  3. 3. hf = 12.23 m
  4. 4. Δp = 64.8 kPa
  5. 5. Q = 292 L/s
  6. 6. H = 1.938 m

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