Modeling the Internal Flow of a Droplet

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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
Problem Definition

Model the flow inside a droplet moving between two infinite plates

Actual Situation (Droplet)

Current Model (Pipe Flow)

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

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
• 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

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