Capstone (Math 451H) Spring 2015:
Instabilities of two-phase flow of complex fluids
Handouts:
Acheson, Navier-Stokes Equations
Kondic: Linear Stability Analysis for two-phase Newtonian H-S flow
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:
Reviews:
DLA related:
Nittman etal, in Fractals in Physics '86
Experimental:
McCloud, Maher, Phys. Rep. '95
Saffman-Taylor Instability of shear-thinning fluids: