Abstract
A conceptual framework of some generality for describing mixing in continuous flow systems is developed. The framework is based on the notions of residence time distributions, residual lifetimes, and coalescence and redispersion of fluid elements. A deterministic version of the conceptual framework is derived and shown under appropriate constaints to specialize into three more restricted mixing models which have appeared in the literature. Monte-Carlo simulation is suggested as the most practical general means of implementation. This technique is illustrated in a brief study of the effects of mixing on three simple homogeneous reactions. It is conjectured that the conceptual framework is comprehensive, although the arguments presented in support of this conjecture do not prove rigorously that flow mixing situations can be represented.
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