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PRACTICE / Continuity equation

Size the narrow section

A pipe carries 0.012 m³/s of water. At a section, the water speed is 3 m/s.

Find the cross-sectional area.

Organize the givens & assumptions
  • Q = 0.012 m³/s
  • v = 3 m/s

Steady incompressible flow; stated velocity is the section's mean axial velocity.

  1. A0.012 m20.012\ \mathrm{m^2}
  2. B0.0004 m20.0004\ \mathrm{m^2}
  3. C0.004 m20.004\ \mathrm{m^2}
  4. D0.036 m20.036\ \mathrm{m^2}

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