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Prandtl number
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Prandtl number
The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity. That is, the Prandtl number is given as:
where:
where:
: momentum diffusivity (kinematic viscosity), , (SI units: m2/s)
: thermal diffusivity, , (SI units: m2/s)
: dynamic viscosity, (SI units: Pa s = N s/m2)
: thermal conductivity, (SI units: W/m-K)
: specific heat, (SI units: J/kg-K)
: density, (SI units: kg/m3).
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