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Eckert Number Equation and Calculator

Heat Transfer Engineering
Thermodynamics

Eckert Number Equation and Calculator

The Eckert number is dimensionless and is defined as the ratio of the advective mass transfer to the heat dissipation potential. The Eckert number provides a measure of the kinetic energy of the flow relative to the enthalpy difference across the thermal boundary layer. It is used to characterize heat dissipation in high-speed flows for which viscous dissipation is significant.

Eq. 1
Ec = V² / ( c_p · ΔT )

Eq. 2
ΔT = T_f - T_i

Where:

V = Characteristic Velocity of Flow (m/s)
c_p = Constant-Pressure Specific Heat of Flow (m/s² K)
ΔT = Temperature Difference (K)
T_i = Temperature intial (K)
T_f = Temperature final (K)
Ec = Eckert Number = Advective Transport/(Heat Dissipitation Potential) (dimensionless)

Source:

1. Fundamentals of Heat and Mass Transfer, 7th Edition. Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera. John Wiley & Sons, Incorporated, 2011. ISBN: 9781118137253.
2. Heat and Mass Transfer. Yunus A. Cengel. McGraw-Hill Education, 2011. ISBN: 9780071077866.

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