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TheEckert number (Ec) is adimensionless number used incontinuum mechanics. It expresses the relationship between a flow'skinetic energy and the boundary layerenthalpy difference, and is used to characterize heat transferdissipation.^[1] It is named afterErnst R. G. Eckert.

It is defined as

${\displaystyle \mathrm{E}\mathrm{c}=\frac{u^2}{c_p\mathrm{\Delta }T}=\frac{\text{Advective Transport}}{\text{Heat Dissipation Potential}}}$

where

• u is the localflow velocity of the continuum,
• c_p is the constant-pressure localspecific heat of the continuum,
• ${\displaystyle \mathrm{\Delta }T}$ is the difference between wall temperature and local temperature.

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