basic

Continuity Equation for Fluid Flow Calculator

A₁ · v₁ = A₂ · v₂ for an incompressible flow.

Apply the fluid continuity equation to compute the velocity at the second cross-section of a pipe given the inlet area, inlet velocity and outlet area: v₂ = A₁·v₁ / A₂. Also reports the volumetric flow rate Q.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

cm²
m/s
cm²

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

A₁·v₁ = A₂·v₂; Q = A·v.

In depth

Apply the fluid continuity equation to compute the velocity at the second cross-section of a pipe given the inlet area, inlet velocity and outlet area: v₂ = A₁·v₁ / A₂. Also reports the volumetric flow rate Q.