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MAXScanner thermal & fluid engineering

Péclet Number Calculator — Advection vs Diffusion

Calculate thermal or mass Péclet number from velocity, characteristic length and diffusivity, with interpretation of transport dominance.

Last updated: September 17, 2026

Results

Enter non-negative velocity/length and positive diffusivity

Formula, example and assumptions

Pe=vL/α (thermal) or vL/D_m (mass).

v=1 m/s, L=0.1 m and α=1e-5 m²/s gives Pe=10,000.

  • Use thermal diffusivity for heat transport and mass diffusivity for species transport.
  • Characteristic length must match the modeled geometry.

Frequently asked questions

What does a high Péclet number mean?

Advection dominates diffusion over the chosen length scale.

Is Péclet number dimensionless?

Yes; vL and diffusivity have the same dimensions.

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