Zel'dovich number

The Zel'dovich number is a dimensionless number which provides a quantitative value for the activation energy of a chemical reaction which appears in the Arrhenius exponent,^[1]^[2] named after the Russian scientist Yakov Borisovich Zel'dovich.

It is defined as

\beta ={\frac {E_{a}}{RT_{f}}}\cdot {\frac {T_{f}-T_{o}}{T_{f}}}

where

In terms of heat release parameter $\alpha$ , it is given by

\beta ={\frac {E_{a}}{RT_{f}}}\alpha

For typical combustion phenomena, the value for Zel'dovich number lies in the range $\beta \sim 8-20$ .

References

↑ Williams, Forman A. "Combustion theory." (1985).
↑ Linan, Amable, and Forman Arthur Williams. "Fundamental aspects of combustion." (1993).

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