Chaos, symmetry, and self-similarity: Exploiting order and disorder in mixing processes

J. M. Ottino, F. J. Muzzio, M. Tjahjadi, J. G. Franjione, S. C. Jana, H. A. Kusch

Research output: Contribution to journalArticlepeer-review

173 Scopus citations

Abstract

Fluid mixing is a successful application of chaos. Theory anticipates the coexistence of order and disorder-symmetry and chaos-as well as self-similarity and multifractality arising from repeated stretching and folding. Experiments and computations, in turn, provide a point of confluence and a visual analog for chaotic behavior, multiplicative processes, and scaling behavior. All these concepts have conceptual engineering counterparts: examples arise in the context of flow classification, design of mixing devices, enhancement of transport processes, and controlled structure formation in two-phase systems.

Original languageEnglish (US)
Pages (from-to)754-760
Number of pages7
JournalScience
Volume257
Issue number5071
DOIs
StatePublished - 1992

All Science Journal Classification (ASJC) codes

  • General

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