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# Modeling the Internal Flow of a Droplet - PowerPoint PPT Presentation

Modeling the Internal Flow of a Droplet. Craig Ferguson. Table of Contents. Problem Definition Applications Physical Background Program Design Algorithm Used User Interface Current Progress Future Work. Electrowetting. [1]. Electrowetting Applications. [2] [3].

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### Modeling the Internal Flow of a Droplet

Craig Ferguson

• Problem Definition

• Applications

• Physical Background

• Program Design

• Algorithm Used

• User Interface

• Current Progress

• Future Work

[2] [3]

Model the flow inside a droplet moving between two infinite plates

Actual Situation (Droplet)

Current Model (Pipe Flow)

• Navier Stokes Equations [4]

• Computational Fluid Dynamics

Inputs – Wall Velocities, Droplet Shape, Viscosity, Density, Droplet Size

Algorithm – Variation on SIMPLE

Outputs – Graphical Representations of Fluid Flows and Pressures: Vector Plots, Topographical Plots

SIMPLE – Semi-Implicit Method for Pressure-Linked Equations

• Guess P

• Calculate (u, v) for surrounding nodes

• Correct the guessed pressures and velocities

• Repeat until convergence

• Finish coordinate transformations

• Set up boundary conditions for desired problem

• Obtain results

• Test results against laboratory data, to be gathered

• Modify program to be more general or more efficient

[1] Duke University. (June 2004). “Digital Microfluidics by Electrowetting, Duke University.” http://www.ee.duke.edu/research/microfluidics/.