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Turbulent mixing with multiple second‐order chemical reactions
Author(s) -
Heeb Thomas G.,
Brodkey Robert S.
Publication year - 1990
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690361002
Subject(s) - reynolds number , covariance , closure (psychology) , turbulence , mathematics , mixing (physics) , thermodynamics , chemical reaction , range (aeronautics) , chemistry , statistical physics , mechanics , statistics , physics , materials science , organic chemistry , quantum mechanics , economics , market economy , composite material
A molecular‐based statistical simulation program was developed to study the covariance terms involved in the mass balance equations for complex chemical reactions during mixing. Several closure theories were compared to the simulations and available experimental data. The simple closure by Brodkey and Lewalle was found to be an extension of Toor's analysis applied to two reactions. This closure does not satisfy the molar fluctuation balance equation and was found only to represent the high Reynolds number data of Li and Toor. This result led to examining other possible closures which were based on Damkoehler numbers, reaction rate constant ratios, and limiting forms of the covariance term. These closures also were inadequate. The second reaction's covariance term varied from the product of the average values for each component to the Brodkey and Lewalle value for the range of Reynolds numbers considered.