Wednesday, May 14

10:30 AM-12:10 PM
Benjamin West B Room

The Role of Microstructure in Contact Line Motion for Liquid Films

Wetting processes involve subtle interaction between microscopic physics at the contact line and the bulk properties of the liquid film. Such problems are important in fields ranging from microchip fabrication to de-icing of airplane wings. The difficulty in modeling such problems can be seen at the level of a fundamental paradox in which the no slip boundary condition at the fluid/solid interface introduces an inifinite energy dissipation at a moving contact line. Various techniques have been considered to resolve the inconsistency, including introducing slippage along the liquid/solid interface, incorporating Van der Waals forces into the model, and introducing molecular dynamics interactions on a sub-continuum scale. Our challenge is to develop models that accurately predict a wide range of phenomena including complete, partial, and non-wetting behavior, changes in surface tension, evaporation of the film, and external forcing. This minisimposium draws from the mathematical, physical, and engineering communities to address modelling techniques, their mathematical validity, and their agreement with experimental observation.

Organizer: Andrea L. Bertozzi Duke University

10:30-10:50 Linear Stability and Transient Growth in Driven Contact Lines
Michael Brenner, Massachusetts Institute of Technology
10:55-11:15 Mathematical Theory of Contact Line Dynamics and Droplet Formation
Mary Pugh, Courant Institute of Mathematical Sciences, New York University
11:20-11:40 On the Nature of Slip at Solid-Fluid Interfaces
Sandra Troian and Peter Thompson, Princeton University
11:45-12:05 Large Simulation of Droplets Using a Combined Method
Richard Clelland, State University of New York, Stonybrook

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MMD, 5/15/97