The Eckert number (Ec) is a dimensionless number used in continuum mechanics. It expresses the relationship between a flow's kinetic energy and the boundary layer enthalpy difference, and is used to characterize heat transfer dissipation.[1] It is named after Ernst R. G. Eckert.
It is defined as
\( {\displaystyle \mathrm {Ec} ={\frac {u^{2}}{c_{p}\Delta T}}={\frac {\mbox{Advective Transport}}{\mbox{Heat Dissipation Potential}}}} \)
where
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.
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