Modeling of PECVD Reactors

I optimized a dielectric barrier discharge (DBD) reactor in terms of selectivity, deposition rate and product yield. I designed a hybrid model coupling a 2D stationary model of the deposition reactor to the 1D time-dependent plasma equations. The optimization results, presented in the form of ternary plots, offer industrial applicability and ease of interpretation.

Fundamental Solutions of Stokes Equation in Bounded Domains

Fundamental solutions of Stokes equation in bounded domains are unwieldy and computationally-intensive, therefore of limited practical use compared to numerical solutions. Nevertheless, specific applications may benefit from their use, and we found no published record of a Stokes flow Green’s function for a rectangular domain. Therefore we developed a semi-analytical form of this fundamental solution…

Stochastic Dynamics of Polymer Migration

To complement the research into phase-space kinetic theory of polymer solutions I turned again to computer simulations, specifically to Brownian dynamics of DNA electrophoresis under pressure-driven flow in micro-channels. In contrast to the majority of similar studies reported in the literature, I included electrically-induced hydrodynamic interactions, yielding uniformly valid solutions for small Debye lengths.I classified…

Phase-Space Kinetic Theory of Polymer Solutions

I extended the kinetic theory of dilute polymer solutions under external fields to include finite-chain extensibility, and to properly account for wall-inducedhydrodynamic interactions. I developed formulas for the scaling of the depletion layer with the Peclet number and for the variation of molecular stretch and normal stresses; I also derived migration tensors for the Green’s…

Molecular Dynamics and Dielectrophoretic Separation of Microparticles

This work focused on the theoretical analysis of a prototype device for dielectrophoretic particle separation reported in the literature. Motivated by the effort to minimize the number of adjustable parameters used by the original authors, I quantified the electrophoretic, dielectrophoretic and electroosmotic effects more precisely using a multipole expansion. For details, see the appendix of…