Last updated: March 2, 2026 by Dr. David Park

Reynolds Number and Flow Regimes

Formula

Re = (ρ × v × D) / μ

The Reynolds number (Re) is a dimensionless quantity that predicts flow behavior. Re = ρvD/μ, where ρ is density, v is velocity, D is diameter, and μ is dynamic viscosity. Below 2300 flow is laminar; above 4000 it is turbulent; between is transitional.

Common use cases:

  • Pipe flow classification
  • Aerodynamic analysis
  • Chemical reactor design

Frequently Asked Questions

DD

Dr. David Park

Applied Mathematician, PhD Mathematics

David holds a PhD in Applied Mathematics from MIT. He has published research on numerical methods and computational algorithms used in engineering and scientific calculators.

Share & Embed

Was this calculator helpful?

Related Calculators