title: Energy constrained transport maximization across a fluid interface.
abstract: With enhancing mixing in micro- or nanofluidic applications in mind, the problem of maximizing fluid transport across a fluid interface subject to an available energy budget is examined. The optimum cross-interface perturbing velocity is obtained explicitly in the time-periodic instance using an Euler-Lagrange constrained optimization approach. Numerical investigations which calculate transferred lobe areas and cross-interface flux are used to verify that the predicted strategy achieves optimum transport. Explicit active protocols for achieving this optimal transport are suggested.
authors.affiliation: Department of Mathematics, Connecticut College, New London, Connecticut 06320, USA. sanjeevabalasuriya@yahoo.com
authors.forename: Sanjeeva
authors.initials: S
authors.lastname: Balasuriya
authors.forename: Matthew D
authors.initials: MD
authors.lastname: Finn
mesh_terms: D057446:Hydrodynamics; D008956:Models, Chemical; D013816:Thermodynamics