# Eckert number

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The Eckert number is defined as

$Ec \equiv \frac{(\gamma -1)T_o M^2}{\Delta T}$
• $\gamma$ is the ratio of specific heats
• $T_o$ is the reference temperature used to define Mach number
• $M$ is the Mach number
• $\Delta T$ is the temperature difference in the domain