title: Control of mixing via entropy tracking.
abstract: We study mixing of isothermal fluids by controlling the global hydrodynamic entropy <s> . In particular, based on the statistical coupling between the evolution of <s> and the global viscous dissipation <ϵ> , we analyze stirring protocols such that <s>∼t(α)⇔<ϵ>∼t(α-1), with 0<α≤1. For a model array of vortices [Fukuta and Murakami, Phys. Rev. E 57, 449 (1998)], we show that: (i) feedback control can be achieved via input-output linearization, (ii) mixing is monotonically enhanced for increasing entropy production, and (iii) the mixing time t(m) scales as t(m)∼<ϵ>(-1/2).
authors.affiliation: Department of Mechanical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands.
authors.forename: Maarten
authors.initials: M
authors.lastname: Hoeijmakers
authors.forename: Francisco
authors.initials: F
authors.lastname: Fontenele Araujo
authors.forename: Gertjan
authors.initials: G
authors.lastname: van Heijst
authors.forename: Henk
authors.initials: H
authors.lastname: Nijmeijer
authors.forename: Ruben
authors.initials: R
authors.lastname: Trieling