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Prandtl number

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

It is defined as:

\mathit{Pr} = \frac{\nu}{\alpha}

where ν is the kinematic viscosity and α is the thermal diffusivity.

Typical values for Pr are:

  • around 0.7 for air and many other gases,
  • between 100 and 40,000 for engine oil,
  • between 4 and 5 for R-12 refrigerant
  • around 0.015 for mercury

For mercury, heat conduction is very effective compared to convection: thermal diffusivity is dominant. For engine oil, convection is very effective in transferring energy from an area, compared to pure conduction: momentum diffusivity is dominant.

07-10-2008 09:35:13
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