Graduation Year

2003

Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Science

Department

Mathematics

Reader 1

Ali Nadim (CGU)

Reader 2

Andrew Bernoff

Abstract

A fluid drop in a Hele-Shaw cell moves due to surface tension driven potential flow. Using equations for the pressure and the Green’s function for the Laplace Equation, we can formulate an integral equation that determines the motion of the boundary of the drop. By discretizing the boundary contour and following the motion of boundary nodes, the time evolution of the drop can be determined from initial conditions. Results of a numerical simulation show the movement of a drop relaxing from coalescence and the motion of a drop undergoing electrowetting.

gianotti-2003-prop.pdf (39 kB)
Thesis Proposal

gianotti.jpg (7 kB)
Picture of Daniel Gianotti

Share

COinS