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 = 0.9 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 0.9 m/s through a pipe with an inside diameter of 150 mm. Find the Reynolds number Re.

V = 0.9 m/sD = 150 mmν = 1.00 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 8 L/sD = 75 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 75 mm at 8 L/s. Find the Reynolds number Re.

Q = 8 L/sD = 75 mmν = 1.14 × 10⁻⁶ m²/s
Re =
3.Medium
V = 2 m/sD = 50 mmL = 100 mf = 0.02

Water (ρ = 1000 kg/m³) flows at 2 m/s through a horizontal pipe, 100 m long, with an inside diameter of 50 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 = 2 m/sL = 100 mD = 50 mmf = 0.02ρ = 1000 kg/m³
Δp = kPa
4.Medium
V = 2 m/sD = 100 mmL = 800 mf = 0.028

Water flows at a mean velocity of 2 m/s through a pipe 800 m long with an inside diameter of 100 mm. Use the Darcy friction factor f = 0.028 and g = 9.81 m/s². Find the friction head loss hf.

V = 2 m/sL = 800 mD = 100 mmf = 0.028g = 9.81 m/s²
hf = m
5.Hard
K = 0.2Δz = ?L = 200 m, D = 250 mm, f = 0.022× bend (K = 0.3)

Two open reservoirs are joined by a pipe 200 m long with an inside diameter of 250 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 = 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 60 L/s?

Q = 60 L/sL = 200 mD = 250 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×2)Kvalve = 0.2Kexit = 1.0
Δz = m
6.Hard
K = 2Δz = 31 mL = 200 m, D = 250 mm, f = 0.0254× bend (K = 0.3)

Two open reservoirs are joined by a pipe 200 m long with an inside diameter of 250 mm and a Darcy friction factor f = 0.025. The water surface of the upper reservoir is 31 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 = 31 mL = 200 mD = 250 mmf = 0.025Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2Kexit = 1.0
Q = L/s

Answer key

  1. 1. Re = 135000
  2. 2. Re = 119134
  3. 3. Δp = 80 kPa
  4. 4. hf = 45.67 m
  5. 5. Δz = 1.394 m
  6. 6. Q = 243.6 L/s

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