Functional formulation of nonisothermal turbulent reactive flows
Abstract
The two familiar functional formalisms in turbulence are applied to the simultaneous turbulent mixing and chemical reaction of scalar fields. Onestep, secondorder, irreversible, exothermic chemical reactions with an Arrheniustype rate constant are considered. The problem is formally posed in terms of initial and boundary conditions. For the special case of equal massdiffusivities and a Lewis number of one the functional equations are decoupled into a turbulent binary mixing study and a reactive problem. The LewisKraichnan formalism is used in order to obtain exact functional solutions of the binary mixing case in final period turbulence. Driving forces are included in the thermal energy equation. These solutions are used to obtain detailed information about the binary mixing problem and the behavior of very rapidly reacting species in the final period.
 Publication:

Physics of Fluids
 Pub Date:
 November 1974
 DOI:
 10.1063/1.1694652
 Bibcode:
 1974PhFl...17.1968D
 Keywords:

 Binary Mixtures;
 Boundary Value Problems;
 Exothermic Reactions;
 Functional Analysis;
 Turbulent Flow;
 Turbulent Mixing;
 Boundary Conditions;
 Differential Equations;
 Irreversible Processes;
 Lewis Numbers;
 Probability Density Functions;
 Stochastic Processes;
 Thermal Energy;
 Fluid Mechanics and Heat Transfer