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

Text of Modeling the Internal Flow of a Droplet

  • 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.


    [3] Liquavista

    [4] Weisstein, Eric. (2005) Navier-Stokes Equations From Eric Weissteins World of Physics.

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