EngiRef / Fluids Engineering Formula

Reynolds Number

Reynolds Number: Dimensionless number indicating laminar or turbulent flow. A Fluid Dynamics formula in fluids engineering. Variables Re, ρ, v, D and μ, each…

Fluid Dynamics

Specification

Name
Reynolds Number
Discipline
fluids
Category
Fluid Dynamics
LaTeX
Re = \frac{\rho vD}{\mu}
Description
Dimensionless number indicating laminar or turbulent flow
Conditions
Internal flow in circular pipes: laminar <~ 2300, turbulent >~ 4000
Can solve for
Re, ρ, v, D, μ
Tags
reynolds, laminar, turbulent, flow

Variables

Variables for Reynolds Number
SymbolNameUnitSi UnitImperial Unit
ReReynolds Number - - -
ρDensitykg/m³kg/m³slug/ft³
vVelocitym/sm/sft/s
DCharacteristic Lengthmmft
μDynamic ViscosityPa·sPa·s -

Common questions

What is the Reynolds Number formula?
Dimensionless number indicating laminar or turbulent flow. It sits under Fluid Dynamics, Fluids engineering in the EngiRef reference.
What do the symbols in the Reynolds Number formula mean?
In Reynolds Number, Re is reynolds number; ρ is density in kg/m³; v is velocity in m/s; D is characteristic length in m; μ is dynamic viscosity in Pa·s.
When does the Reynolds Number formula apply?
Reynolds Number holds under this condition: Internal flow in circular pipes: laminar <~ 2300, turbulent >~ 4000.