Prandtl Number

The Prandtl Number is a dimensionless number approximating the ratio of momentum diffusivity and thermal diffusivity

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The Prandtl Number is a dimensionless number approximating the ratio of momentum diffusivity and thermal diffusivity and can be expressed as

Pr = v / α (1)

where

Pr = Prandtl's number

v = kinematic viscosity (Pa s)

α = thermal diffusivity (W/m K)

The Prandtl number can alternatively be expressed as

Pr = μ cp / k (2)

where

μ = absolute or dynamic viscosity (kg/m s, cP)

cp = specific heat capacity (J/kg K, Btu/(lb oF))

k = thermal conductivity (W/m K, Btu/(h ft2 oF/ft))

The Prandtl Number is often used in heat transfer and free and forced convection calculations.

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Related Topics

  • Fluid Mechanics The study of fluids - liquids and gases. Involves various properties of the fluid, such as velocity, pressure, density and temperature, as functions of space and time.

Related Documents

  • Water - Thermal Properties Thermal properties of water - density, freezing temperature, boiling temperature, latent heat of melting, latent heat of evaporation, critical temperature and more
  • Dry Air Properties Dry air properties at temperatures ranging 175 - 1900 K - specific heat capacity, ratio of specific heats, dynamic viscosity, thermal conductivity, Prandtl number, density and kinematic viscosity
  • Carbon Dioxide Properties Properties of saturated liquid Carbon Dioxide - CO2 - density, specific heat capacity, kinematic viscosity, thermal conductivity and Prandtls number
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  • Air Properties - SI Units Ideal gas properties of air at low pressures - in SI units

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