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Reynolds Number

Inertial-to-viscous ratio. Predicts laminar–turbulent transition.

$ formula: Re = \dfrac{\rho U L}{\mu} = \dfrac{U L}{\nu}

Re
5.00e+4
regime
Turbulent

Pipe flow conventional thresholds: Re < 2300 laminar, 2300–4000 transitional, > 4000 turbulent.