In this seminar, the natural convective motion of a fluid inside a cylindrical container will be analyzed with numerical, theoretical, and experimental tools. The Eulerian description shows that steady-state motion, obtained with small Rayleigh numbers, is dominated by a non-axisymmetric cell. The Lagrangian analysis indicates that the Poincaré maps of orbits are closely related to symplectic maps. We will argue that the clusters of points n the maps can be characterized using topological data analysis and that this naturally leads to the definition of simple parameters to quantify the properties of the sets of points. Some Lagrangian orbits can be identified with toroidal knots, showing predictable parametrizations. Experimental observations of the time-dependent flow with Rayleigh numbers just above the critical value will also be briefly described, and research ideas for systematically studying them will be discussed.
About the Speaker
Eduardo Ramos is a Senior Researcher at the Institute of Renewable Energies of the National Autonomous University of Mexico. He is a Physicist from the Faculty of Sciences of the National Autonomous University of Mexico and a PhD in Science (Fluid Mechanics) from the University of Manchester in the United Kingdom. His professional interests include theoretical and experimental analysis of fluid mechanics and heat transfer. Specifically, the study of natural convection, the dynamics of drops and bubbles, magnetohydrodynamic flows, and the interaction between a solid and a fluid under conditions similar to those found in the use of wind energy. He is a fellow of the Mexican Academy of Sciences and the Mexican Physical Society.
Host: Professor Leonardo Chamorro