NJIT Applied Mathematics Colloquium
Friday, September 16, 2011, 11:30am
Cullimore Lecture Hall II
New Jersey Institute of Technology
Transport and barriers in unsteady flows
Sanjeeva Balasuriya
Connecticut College
Transport barriers in unsteady flows are invariant manifolds which move
in time, and locating them is usually difficult. Their intersections
govern transport of fluid between regions. A wellknown method in
dynamical systems due to Melnikov establishes the perpendicular
separation of manifolds in perturbed timeperiodic situations. This
talk locates the manifolds in general timeaperiodically perturbed fluid
flows, taking into account both compressibility and the previously
neglected tangential displacement of manifolds. The question of
quantifying flux across these boundaries is also addressed, and examples
based on an oceanic doublegyre and a microfluidic Tmixer are
examined.
