Global measures of distributive mixing and their behavior in chaotic flows

C.L. Tucker III, G.W.M. Peters

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Two measures of distributive mixing are examined: the standard deviation sigma and the maximum error E, among average concentrations of finite-sized samples. Curves of E versus sample size L are easily interpreted in terms of the size and intensity of the worst flaw in the mixture. E(L) is sensitive to the size of this flaw, regardless of the overall size of the mixture. The measures are used to study distributive mixing for time-periodic flows in a rectangular cavity, using the mapping method. Globally chaotic flows display a well-defined asymptotic behavior: E and sigma decrease exponentially with time, and the curves of E(L) and sigmaL) achieve a self-similar shape. This behavior is independent of the initial configuration of the fluids. Flows with large islands do not show self-similarity, and the final mixing result is strongly dependent on the initial fluid configuration
Original languageEnglish
Pages (from-to)197-208
JournalKorea-Australia Rheology Journal
Volume15
Issue number4
Publication statusPublished - 2003

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