title: An experimental and theoretical study of the mixing characteristics of a periodically reoriented irrotational flow.
abstract: The minimum-energy method to generate chaotic advection should be to use an irrotational flow. However, irrotational flows have no saddle connections to perturb in order to generate chaotic orbits. To the early work of Jones & Aref (Jones & Aref 1988 Phys. Fluids 31, 469-485 (doi:10.1063/1.866828)) on potential flow chaos, we add periodic reorientation to generate chaotic advection with irrotational experimental flows. Our experimental irrotational flow is a dipole potential flow in a disc-shaped Hele-Shaw cell called the rotated potential mixing flow; it leads to chaotic advection and transport in the disc. We derive an analytical map for the flow. This is a partially open flow, in which parts of the flow remain in the cell forever, and parts of it pass through with residence-time and exit-time distributions that have self-similar features in the control parameter space of the stirring. The theory compares well with the experiment.
authors.affiliation: Commonwealth Scientific and Industrial Research Organization (CSIRO) Division of Materials Science and Engineering, PO Box 56, Graham Road, Highett, Victoria 3190, Australia. guy.metcalfe@csiro.au
authors.forename: Guy
authors.initials: G
authors.lastname: Metcalfe
authors.forename: Daniel
authors.initials: D
authors.lastname: Lester
authors.forename: Alison
authors.initials: A
authors.lastname: Ord
authors.forename: Pandurang
authors.initials: P
authors.lastname: Kulkarni
authors.forename: Murray
authors.initials: M
authors.lastname: Rudman
authors.forename: Mike
authors.initials: M
authors.lastname: Trefry
authors.forename: Bruce
authors.initials: B
authors.lastname: Hobbs
authors.forename: Klaus
authors.initials: K
authors.lastname: Regenaur-Lieb
authors.forename: Jeffery
authors.initials: J
authors.lastname: Morris