Syllabus

Projects (2014, partial list):

    Saffman-Taylor instability

    Diffusion limited aggregation simulations of Saffman-Taylor instability
    for Newtonian and Non-Newtonian fluids


Handouts:

    Acheson, Euler's Equations

    Acheson, Navier-Stokes Equations

    Acheson, Very Viscous Flow

    Kondic: Linear Stability Analysis for two-phase Newtonian H-S flow

Links:

     Navier-Stokes Equations (Wikipedia)

    Wikipedia: About surface tension

    Wikipedia: About Young-Laplace equation

Student reports, presentatons, posters:

    Experimental and Theoretical Analysis of Saffman-Taylor Instability (2014)

    DLA Simulations of Saffman-Taylor Instability (2014)

    Conformal Mapping Methods for ZST Hele-Shaw Flow (2014)

    Nematic liquid crystal poster (2013)

    Diffusion-limited-aggregation: report (2002)

    Diffusion-limited-aggregation: slides (2002)

    Saffman-Taylor instability: linear stability and numerics: report (2002)

    Saffman-Taylor instability: linear stability and numerics: slides (2002)

Papers and Theses:

    Theses:

    Cummings '96

    Reviews:

    Homsy, Annual Review '87

    DLA related:

    Stanley etal, PRL '86

    Liang, PRA '86

    Kadanoff, J. Stat. Phys. '85

    Vicsek etal, PRL '84

    Sander, Nature '86

    Witten, Sanders, PRB '83

    Paterson, PRL '84

    Paterson, JFM '81

    Nittman etal, in Fractals in Physics '86

    Experimental:

    Buka etal, PRA '87

    McCloud, Maher, Phys. Rep. '95

    Chen, JFM '89

    Saffman-Taylor Instability of shear-thinning fluids:

    Kondic etal PRE '96

    Kondic etal PRL '98