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Modeling the Internal Flow of a Droplet

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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  1. Modeling the Internal Flow of a Droplet Craig Ferguson

  2. Table of Contents • Problem Definition • Applications • Physical Background • Program Design • Algorithm Used • User Interface • Current Progress • Future Work

  3. Electrowetting [1]

  4. Electrowetting Applications [2] [3]

  5. Problem Definition Model the flow inside a droplet moving between two infinite plates Actual Situation (Droplet) Current Model (Pipe Flow)

  6. Physical Background • Navier Stokes Equations [4] • Computational Fluid Dynamics

  7. 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

  8. 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

  9. Coordinate Transformations

  10. Program Design

  11. Results

  12. Results

  13. Results

  14. 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

  15. 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.

  16. Questions? Comments?

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