publication . Article . Other literature type . 1974

An approach to the autoignition of a turbulent mixture

César Dopazo; Edward E. O'Brien;
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  • Published: 01 Sep 1974 Journal: Acta Astronautica, volume 1, pages 1,239-1,266 (issn: 0094-5765, Copyright policy)
  • Publisher: Elsevier BV
Abstract
Abstract This paper considers the turbulent homogeneous mixing of two reactants undergoing a one step, second order, irreversible, exothermic chemical reaction with a rate constant of the Arrhenius type. A statistically stationary turbulent velocity field is assumed given and unaffected by mass or heat production due to the chemical reaction. Relative density fluctuations are neglected. A Hopf-like functional formalism is presented, with application to both statistically inhomogeneous and statistically homogeneous flows. Single and double point probability density function differential equations are derived from those functional equations. The limit of very larg...
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Subjects
free text keywords: Closure problem, Hyperbolic partial differential equation, Differential equation, Numerical integration, Functional equation, Exothermic reaction, Autoignition temperature, Probability density function, Thermodynamics, Mechanics, Mathematics
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