Eckert number

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The Eckert number (Ec) is a dimensionless number used in continuum mechanics. It expresses the relationship between a flow's kinetic energy and enthalpy, and is used to characterize dissipation. It is named after Ernst R. G. Eckert.

It is defined as

\mathrm{Ec} = \frac{u^2}{c_p \Delta T}


  • u is the local flow velocity of the continuum,
  • cp is the constant-pressure local specific heat of the continuum,
  • \Delta T is the difference between wall temperature and local temperature.