Tracking particles in flows near invariant manifolds via balance functions

• Published in: Nonlinear dynamics Vol. 92; no. 3; pp. 983 - 1000
• Main Authors: Kuehn, Christian, Romanò, Francesco, Kuhlmann, Hendrik C.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.05.2018; Springer Nature B.V
• Subjects: Automotive Engineering; Classical Mechanics; Computational fluid dynamics; Computer simulation; Control; Dynamical Systems; Engineering; Fluid flow; Incompressible flow; Invariants; Liapunov exponents; Liquid bridges; Manifolds; Mathematical analysis; Mathematical models; Mechanical Engineering; Original Paper; Particle motion; Vibration; Vortices; Perturbation theory; Fluid dynamics; Fast–slow systems; Particle–surface interaction; Entry–exit function; Invariant manifold; Transient dynamics
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-018-4104-6

Particle moving inside a fluid near, and interacting with, invariant manifolds is a common phenomenon in a wide variety of applications. One elementary question is whether we can determine once a particle has entered a neighbourhood of an invariant manifold, when it leaves again. Here we approach th...