The Reynolds number (Re) = ฯvD/ฮผ, where ฯ = fluid density, v = velocity, D = characteristic length, ฮผ = dynamic viscosity.
Flow Regimes
- Re < 2,300: Laminar flow (smooth, predictable)
- 2,300 < Re < 4,000: Transitional
- Re > 4,000: Turbulent flow (chaotic, high mixing)
Applications
Pipe design, aerodynamics, blood flow analysis, heat exchanger sizing. Higher Re means more energy loss due to friction.