Reynolds number (Re) is a dimensionless number that predicts flow patterns in different fluid flow situations. It is defined as:
$\mathrm{Re} = \frac{\rho v L}{\mu} = \frac{v L}{\nu}
$
- Where:
- ρ = fluid density
- v = fluid velocity
- L = characteristic length (e.g., diameter of a pipe)
- μ = dynamic viscosity of the fluid
- ν = kinematic viscosity of the fluid
Significance:
- Re < 2000: Laminar flow (smooth and orderly flow).
- 2000 < Re < 4000: Transitional flow (mix of laminar and turbulent flow).
- Re > 4000: Turbulent flow (chaotic and irregular flow)
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