Lagrangian Transport and Chaotic Advection in Three-Dimensional Laminar Flows

Abstract Transport and mixing of scalar quantities in fluid flows is ubiquitous industry Nature. While the more familiar turbulent promote efficient transport by their inherent spatio-temporal disorder, laminar lack such a natural mechanism far challenging. However, flow essential to many problems, insight into its characteristics great importance. Laminar transport, arguably, best described Lagrangian motion (“advection”) geometry, topology, coherence trajectories. Efficient being equivalent “chaotic advection” key finding this approach. The framework enables systematic analysis design flows. gap between scientific insights technological applications formidable primarily for two reasons. First, studies concern two-dimensional (2D) flows, yet real world three-dimensional (3D). Second, typically investigated idealized practical relevance requires on realistic 3D present review aims stimulate further development utilization know-how dissemination practice. To end, are categorized canonical problems. expose diversity create awareness broad relevance. enable knowledge transfer both within disciplines. Third, reconcile with fundamentals chaotic advection. This may be first incentive structurally integrate “Lagrangian mindset”