# Modeling the Internal Flow of a Droplet

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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]. - PowerPoint PPT Presentation

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• Modeling the Internal Flow of a DropletCraig Ferguson

• Table of ContentsProblem DefinitionApplicationsPhysical BackgroundProgram DesignAlgorithm UsedUser InterfaceCurrent ProgressFuture Work

• Electrowetting[1]

• Electrowetting Applications[2] [3]

• Problem DefinitionModel the flow inside a droplet moving between two infinite platesActual Situation (Droplet)Current Model (Pipe Flow)

• Physical BackgroundNavier Stokes Equations [4]

Computational Fluid Dynamics

• Program DesignInputs Wall Velocities, Droplet Shape, Viscosity, Density, Droplet Size

Algorithm Variation on SIMPLE

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

• Considered AlgorithmSIMPLE Semi-Implicit Method for Pressure-Linked EquationsGuess P

Calculate (u, v) for surrounding nodes

Correct the guessed pressures and velocities

Repeat until convergence

• Coordinate Transformations

• Program Design

• Results

• Results

• Results

• Future WorkFinish coordinate transformationsSet up boundary conditions for desired problemObtain resultsTest results against laboratory data, to be gatheredModify program to be more general or more efficient

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

[2] http://www.answers.com/topic/e-ink-flex-tablet-display-jpg

[3] Liquavista http://www.liquavista.com/files/LQV060828XYR-15.pdf

[4] Weisstein, Eric. (2005) Navier-Stokes Equations From Eric Weissteins World of Physics. http://scienceworld.wolfram.com/physics/Navier-StokesEquations.html.

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