Reynolds number

The Reynolds number is a dimensionless ratio of inertial forces to viscous forces in a fluid flow, computed from flow speed, a characteristic length, and the fluid's viscosity. It is used to predict whether flow is laminar or turbulent and to compare flows that are dynamically similar.

\mathrm{Re} = \frac{v l}{\nu} = \frac{\rho v l}{\eta}

What the symbols mean

Reynolds number (dimensionless)
flow speed (m/s)
characteristic length (m)
kinematic viscosity (m^2/s)
mass density of the fluid (kg/m^3)
dynamic viscosity of the fluid (Pa·s)

About this formula

  • FieldPhysics
  • TopicFluid mechanics
  • LevelUniversity
  • Also calledReynolds number formula, fluid flow dimensionless number, laminar turbulent flow criterion, kinematic viscosity Reynolds number, dynamic viscosity Reynolds number
  • SourceWikidata Q178932

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