期刊
JOURNAL OF FLUID MECHANICS
卷 934, 期 -, 页码 -出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2021.1122
关键词
mixing; reacting flows
This study discusses the interplay between chemical reaction and substrate deformation by adapting Ranz's formulation for scalar mixing to the case of a reactive mixture between segregated reactants. Experiments in a simple shear flow demonstrate the existence of three regimes depending on the Damkohler number. For Da > 1, the different regimes are rationalized by globalizing the chemical cross-term as a production term involving a flux. For Da < 1, the reactants interpenetrate before they react, giving rise to a 'diffusio-chemical' regime where chemical production occurs within a substrate controlled by molecular diffusion.
The interplay between chemical reaction and substrate deformation is discussed by adapting Ranz's formulation for scalar mixing to the case of a reactive mixture between segregated reactants, initially separated by an interface whose thickness may not be vanishingly small. Experiments in a simple shear flow demonstrate the existence of three regimes depending on the Damkohler number Da = t(s)/t(c) where t(s) is the mixing time of the interface width and t(c) is the chemical time. Instead of treating explicitly the chemical cross-term, we rationalize these different regimes by globalizing it as a production term involving a flux which depends on the rate at which the reaction one is fed by the reactants, a formulation valid for Da > 1. For Da < 1, the reactants interpenetrate before they react, giving rise to a 'diffusio-chemical' regime where chemical production occurs within a substrate whose width is controlled by molecular diffusion.
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