Eckert number

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The Eckert number (Ec) is a dimensionless number used in fluid dynamics. 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{V^2}{c_p\Delta T} = \frac{\mbox{Kinetic Energy}}{\mbox{Enthalpy}}


  • V is a characteristic velocity of the flow.
  • cp is the constant-pressure specific heat of the flow.
  • T is a characteristic temperature difference of the flow.