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].

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Modeling the Internal Flow of a Droplet

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Modeling the internal flow of a droplet

Modeling the Internal Flow of a Droplet

Craig Ferguson


Table of contents

Table of Contents

  • Problem Definition

    • Applications

    • Physical Background

  • Program Design

  • Algorithm Used

  • User Interface

  • Current Progress

  • Future Work


Electrowetting

Electrowetting

[1]


Electrowetting applications

Electrowetting Applications

[2] [3]


Problem definition

Problem Definition

Model the flow inside a droplet moving between two infinite plates

Actual Situation (Droplet)

Current Model (Pipe Flow)


Physical background

Physical Background

  • Navier Stokes Equations [4]

  • Computational Fluid Dynamics


Program design

Program Design

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


Considered algorithm

Considered Algorithm

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


Coordinate transformations

Coordinate Transformations


Program design1

Program Design


Results

Results


Results1

Results


Results2

Results


Future work

Future Work

  • 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


References

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 Weisstein’s World of Physics.” http://scienceworld.wolfram.com/physics/Navier-StokesEquations.html.


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