PHYSICAL MATHEMATICS SEMINAR TOPIC: LIQUID FLOW (DRAINAGE) IN AQUEOUS FOAMS: SPEAKER: DR. STEPHAN KOEHLER Department of Engineering and Applied Sciences Harvard University ABSTRACT: The flow of liquid through the interstitial space between the bubbles of a foam is similar to liquid flow through porous media. As with porous media, such as a packed bed of spheres, the observable is the macroscopic flow rate. However rather than having a fixed permeability, the permeability of foams increases with the flux. This is because unlike porous media, where the interstitial space is fixed, in foams the bubbles are deformable and the interstitial space increases with the liquid flux. Furthermore there is evidence that the boundary condition for the flow may depend on the surfactant, and the flow velocity may not necessarily be zero at the liquid/air interface. I will discuss several types of foam drainage experiments in one dimension, introduce a simple model and compare predictions with experimental results for monodisperse foams. Emphasis will be placed on the dynamics of the liquid volume fraction profile. I will also discuss some preliminary results for bidisperse foams, which are composed of bubbles with two different sizes. DATE: TUESDAY, OCTOBER 26, 1999 TIME: 2:30 PM LOCATION: Building 2, Room 338 Refreshments will be served at 3:30 PM in Building 2, Room 349 Massachusetts Institute of Technology Department of Mathematics Cambridge, MA 02139