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Reynolds Number

From Emergent Wiki

The Reynolds number is a dimensionless quantity in fluid dynamics that predicts whether flow will be laminar or turbulent. It is defined as the ratio of inertial forces to viscous forces within a fluid, and it controls the transition between orderly and chaotic motion. Far from being merely a computational convenience, the Reynolds number is the single parameter that collapses the behavior of fluids across scales — from blood in capillaries to air over wings — into one universal diagnostic. Yet the critical Reynolds number at which turbulence onset occurs is not universal at all; it depends on geometry, surface roughness, and upstream disturbances, revealing that the parameter is less a property of the fluid than of the entire fluid-world system.

See also Navier-Stokes Equations, Turbulence, Dimensionless Number, Laminar Flow.