title: Chaos, symmetry, and self-similarity: exploiting order and disorder in mixing processes.
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.
authors.forename: J M
authors.initials: JM
authors.lastname: Ottino
authors.forename: F J
authors.initials: FJ
authors.lastname: Muzzio
authors.forename: M
authors.initials: M
authors.lastname: Tjahjadi
authors.forename: J G
authors.initials: JG
authors.lastname: Franjione
authors.forename: S C
authors.initials: SC
authors.lastname: Jana
authors.forename: H A
authors.initials: HA
authors.lastname: Kusch