Mihsaba›Continuity Equation Calculator

Continuity Equation Calculator

Solve second velocity or area for incompressible flow using A₁v₁=A₂v₂, with volumetric flow rate.

These are ideal fluid models; viscosity, losses, friction, compressibility and real-system efficiency are excluded unless stated.

How to use

For steady incompressible flow, volumetric rate Q stays constant across sections, so velocity falls as area grows and vice versa.

  1. Enter A₁ and v₁.
  2. Choose v₂ or A₂.
  3. Enter the other known value.
  4. Review result and Q.

How it is calculated

Q=A₁v₁=A₂v₂

Example

If area falls from 0.01 to 0.005 m² at v₁=2 m/s, v₂ becomes 4 m/s.

Important notes

This volumetric form assumes incompressible flow; variable-density gas flow needs mass continuity.

Frequently asked questions

Why faster in a narrower pipe?

To keep Q=A·v constant.

Is A diameter?

No, cross-sectional area.

Works for gases?

Only when density changes are negligible.