Senior Thesis

Department of Mathematics
Harvey Mudd College

Daniel Gianotti

Harvey Mudd College Mathematics 2003

Senior Thesis:   Fluid Drop Coalescence in a Hele Shaw Cell

Thesis Advisor: Prof. Ali Nadim, CGU, KGI
Second Reader: Prof. Andrew Bernoff, HMC

Fluid Drop Coalescence in a Hele-Shaw Cell

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.