Physics:Eckert number

From HandWiki

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

[math]\displaystyle{ \mathrm{Ec} = \frac{u^2}{c_p \Delta T} = \frac{ \mbox{Advective Transport} }{ \mbox{Heat Dissipation Potential}} }[/math]

where

  • u is the local flow velocity of the continuum,
  • cp is the constant-pressure local specific heat of the continuum,
  • [math]\displaystyle{ \Delta T }[/math] is the difference between wall temperature and local temperature.

References