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 well-known method in dynamical systems due to Melnikov establishes the perpendicular separation of manifolds in perturbed time-periodic situations.  This talk locates the manifolds in general time-aperiodically 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 double-gyre and a microfluidic T-mixer are examined.