Zeldovich number: Difference between revisions
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*<math>T_u</math> is the unburnt mixture temperature. |
*<math>T_u</math> is the unburnt mixture temperature. |
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In terms of [[heat release parameter]] <math> |
In terms of [[heat release parameter]] <math>q</math>, it is given by |
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:<math>\beta = \frac{E_a}{RT_b} \frac{q}{1+q}</math> |
:<math>\beta = \frac{E_a}{RT_b} \frac{q}{1+q}</math> |
Revision as of 09:34, 10 July 2024
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
- is the activation energy of the reaction
- is the universal gas constant
- is the burnt gas temperature
- is the unburnt mixture temperature.
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.
References
- ^ Williams, Forman A. "Combustion theory." (1985).
- ^ Linan, Amable, and Forman Arthur Williams. "Fundamental aspects of combustion." (1993).
- ^ Y.B. Zel’dovich and D.A. Frank-Kamenetskii, Theory of thermal propagation of flame, Zh. Fiz. Khim+. 12 (1938), pp. 100–105.
- ^ Clavin, P. (1985). Dynamic behavior of premixed flame fronts in laminar and turbulent flows. Progress in energy and combustion science, 11(1), 1-59.