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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Presentation Transcript
table of contents
Table of Contents
  • Problem Definition
    • Applications
    • Physical Background
  • Program Design
  • Algorithm Used
  • User Interface
  • Current Progress
  • Future Work
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
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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