Eckert number explained

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

Ec = (u ^{2})/(c _{p} \Delta T) = (AdvectiveTransport)/(HeatDissipationPotential)

where

• u is the local flow velocity of the continuum,
• c_p is the constant-pressure local specific heat of the continuum,

\Delta T is the difference between wall temperature and local temperature.

Notes and References

1. Web site: Table of Dimensionless Numbers. 31 March 2023. cchem.berkeley.edu.