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Classical Mechanics

Reynolds Number

A dimensionless quantity in fluid mechanics predicting flow patterns, equal to ratio of inertial forces to viscous forces.

Governing formula Re = (ρ v L) / η
SI unit Dimensionless

In depth

Low Re < 2000 indicates smooth laminar flow; high Re > 4000 indicates turbulent flow dominated by chaotic eddies.

Examples in the real world

Classifying smooth water flow in a pipe (Re < 2000) vs chaotic white-water river turbulence (Re >> 4000).