Print Email Facebook Twitter Topological equivalence between two classes of three-dimensional steady cavity flows Title Topological equivalence between two classes of three-dimensional steady cavity flows: A numerical-experimental analysis Author Contreras, P. S. (Eindhoven University of Technology) Ataei Dadavi, I. (TU Delft ChemE/Transport Phenomena) Speetjens, M. F.M. (Eindhoven University of Technology) Kleijn, C.R. (TU Delft ChemE/Transport Phenomena) Tummers, M.J. (TU Delft Fluid Mechanics) Clercx, H. J.H. (Eindhoven University of Technology) Date 2019 Abstract The present study concerns Lagrangian transport and (chaotic) advection in three-dimensional (3D) flows in cavities under steady and laminar conditions. The main goal is to investigate topological equivalences between flow classes driven by different forcing; streamline patterns and their response to nonlinear effects are examined. To this end, we consider two prototypical systems that are important in both natural and industrial applications: a buoyancy-driven flow (differentially heated configuration with two vertical isothermal walls) and a lid-driven flow governed by the Grashof (Gr) and the Reynolds (Re) numbers, respectively. Symmetries imply fundamental similarities between the streamline topologies of these flows. Moreover, nonlinearities induced by fluid inertia and buoyancy (increasing Gr) in the buoyancy-driven flow vs fluid inertia (increasing Re) and single- or double-wall motion in the lid-driven flow cause similar bifurcations of the Lagrangian flow topology. These analogies imply that Lagrangian transport is governed by universal mechanisms, and differences are restricted to the manner in which these phenomena are triggered. Experimental validation of key aspects of the Lagrangian dynamics is carried out by particle image velocimetry and 3D particle-tracking velocimetry. To reference this document use: http://resolver.tudelft.nl/uuid:44fb0aac-eccc-4a35-b633-4f4c897badc1 DOI https://doi.org/10.1063/1.5126497 Embargo date 2020-12-06 ISSN 1070-6631 Source Physics of Fluids, 31 (12) Part of collection Institutional Repository Document type journal article Rights © 2019 P. S. Contreras, I. Ataei Dadavi, M. F.M. Speetjens, C.R. Kleijn, M.J. Tummers, H. J.H. Clercx Files PDF POF19_AR_01930_1_.pdf 10.47 MB Close viewer /islandora/object/uuid:44fb0aac-eccc-4a35-b633-4f4c897badc1/datastream/OBJ/view