title: Shear-flow-controlled mode selection in a nonlinear autocatalytic medium.
abstract: The effect of shear flow on mode selection and the length scale of patterns formed in a nonlinear autocatalytic reaction-diffusion model is investigated. We predict analytically the existence of transverse and longitudinal modes. The type of the selected mode strongly depends on the difference in the flow rates of the participating species, quantified by the differential flow parameter. Spatial structures are obtained by varying the length scale of individual modes and superposing them via the differential flow parameter. Our predictions are in line with numerical results obtained from lattice Boltzmann simulations.
authors.affiliation: Max-Planck-Institut für Dynamik und Selbstorganisation, Am Fassberg 17, 37077 Göttingen, Germany.
authors.forename: S G
authors.initials: SG
authors.lastname: Ayodele
authors.affiliation: Max-Planck Institut für Eisenforschung, Max-Planck Straße 1, 40237 Düsseldorf, Germany.
authors.forename: D
authors.initials: D
authors.lastname: Raabe
authors.affiliation: Interdisciplinary Center for Advanced Materials Simulation, Ruhr-Universität-Bochum, Universitätsstraße 150, 44789 Bochum, Germany.
authors.forename: F
authors.initials: F
authors.lastname: Varnik