Solute Transport Across an Interface

Event Detail

Event type: Applied Mathematics and Computation Seminar
Date/Time: 10/09/2009-12:00   
Location: GLK 113
More info: http://www.math.oregonstate.edu/amc_seminar

Speaker info

Speaker: Thilanka A. Appuhamillage

Abstract:
This talk concerns the mathematical treatment of solute transport when the mean velocity is perpendicular to a sharp interface. The mathematical model is based on the Fickian laws of advection-dispersion with continuity of the concentration and the flux across the interface. In deriving the solution we extend methods of a recently published paper (Ramirez, Thomann, Waymire, Haggerty, Wood. 2008) involving the theory of skew Brownian motion for describing solute transport parallel to a sharp interface to the case of orthogonal flow. An application to breakthrough curves is given which explains emperically discovered asymmetries under a mirror symmetric change in the orientation of the flow from coarse to fine and fine to coarse.