When fluids flow over objects at high speed, their flow becomes a complex and unpredictable tangle of swirling tangle of vortices, which we call turbulence. Most fluid flows in our everyday lives are turbulent – the flow in pipes and around cars, the clouds in the sky, and the waves in the ocean are all turbulent. Despite its ubiquity and centuries of study by some of the brightest minds in science and engineering, providing a complete picture of turbulence remains one of the hardest unsolved problems in classical mechanics.
My lab is focused on using the tools of dynamical systems theory (a.k.a chaos theory) to understand systems that assume complex spatiotemporal dynamics like turbulence when they are driven far from thermodynamic equilibrium. Decades of experimental observations have demonstrated that while very complex and chaotic, the dynamics of such systems are not completely random and contain characteristic patterns called coherent structures. Students in my lab study these structures and their role in structuring the dynamics of a variety of fluid mechanical systems including Taylor-Couette flow and electromagnetically-driven quasi-2D liquid layers. These studies are conducted on simple yet powerful table-top experiments, which we build in-house using modern fabrication techniques like 3D printing. To fully understand these problems we take an interdisciplinary approach and use tools from a variety of fields including fluid dynamics, dynamical systems theory, the theory of complex systems, and scientific computing.
- Ph.D., Physics, Georgia Tech, 2014
- M.S., Physics, Georgia Tech, 2006
- B.S., Physics, The University of Texas at Austin, 2005
- D. Borrero-Echeverry and B.C.A. Morrison, “Aqueous ammonium thiocyanate solutions as refractive index-matching fluids with low density and viscosity.” Exp. Fluids 57, 123 (2016).
- N.B. Budanur, D. Borrero-Echeverry, and P. Cvitanović, “Periodic orbit analysis of a system with continuous symmetry - a tutorial,” Chaos 25, 073112 (2015).
- P. Cvitanović, D. Borrero-Echeverry, K. M. Carroll, B. Robbins, and E. Siminos, “Cartography of high-dimensional flows: A visual guide to sections and slices,” Chaos 22, 047506 (2012).
- K. Wiesenfeld and D. Borrero-Echeverry, “Huygens (and Others) Revisited,” Chaos 21, 047515 (2011).
- D. Borrero-Echeverry, R. Tagg, and M.F. Schatz, “Transient turbulence in Taylor-Couette Flow,” Phys. Rev. E 81, 025301(R) (2010).