The Mechanical Engineering Handbook



Continuity

Continuity Equation



$$Q_1 = Q_2 = v_1A_1 = v_2A_2$$ where:

Q1   =   Flowrate 1   (m³/s)

Q2   =   Flowrate 2   (m³/s)

v1   =   Velocity 1   (m/s)

v2   =   Velocity 2   (m/s)

A1   =   Cross-sectional area 1   (m²)

A2   =   Cross-sectional area 2   (m²)


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Equation Assumptions



  • The fluid is incompressible and homogeneous.
  • The fluid is in a steady flow.
  • Flow is single phase.
  • Viscosity is negligible.