Eckert Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Eckert Number

Eckert number ( \(Ec\) ) (dimensionless number) is used to calculate the ratio of the kinetic energy to enthalpy.

Eckert Number FORMULA

\( Eckert \; number  \;=\;  \frac{ velocity^2 } {2  \;  velocity  \;\;x\;\;  difference \; in \; temperature  }\)

\(Ec = \frac{v^2 } {2   v   \triangle T}\)

Where:

\(Ec\) = Eckert number

\(v\) = flow velocity

\(c\) = specific heat

\(\Delta T\) = temperature differential

Solve for:

\(v =  \sqrt  {  2    Ec   c   \triangle T     }\)

\(c = \frac{v^2 } {2   Ec   \triangle T}\)

\(\triangle T = \frac{v^2 } {2   Ec   c}\)

 

Tags: Equations for Energy