The Zel'dovich number is a dimensionless number which provides a quantitative measure for the activation energy of a chemical reaction which appears in the Arrhenius exponent, named after the Russian scientist Yakov Borisovich Zel'dovich, who along with David A. Frank-Kamenetskii, first introduced in their paper in 1938.[1][2][3] In 1983 ICDERS meeting at Poitiers, it was decided to name after Zel'dovich.[4]
It is defined as
where
In terms of heat release parameter , it is given by
For typical combustion phenomena, the value for Zel'dovich number lies in the range . Activation energy asymptotics uses this number as the large parameter of expansion.