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Saintillan, David Chikmagalur, Karthik 2011-08-25T22:17:09Z 2011-08-25T22:17:09Z 2011-08-25T22:17:09Z 2011-08 This thesis aims to develop new numerical and computational tools to study electrochemical transport and diffuse charge dynamics at small scales. Previous efforts at modeling electrokinetic phenomena at scales where the noncontinuum effects become significant have included continuum models based on the Poisson-Nernst-Planck equations and atomic simulations using molecular dynamics algorithms. Neither of them is easy to use or conducive to electrokinetic transport modeling in strong confinement or over long time scales. This work introduces a new approach based on a Langevin equation for diffuse charge dynamics in nanofluidic devices, which incorporates features from both continuum and atomistic methods. The model is then extended to include steric effects resulting from finite ion size, and applied to the phenomenon of double layer charging in a symmetric binary electrolyte between parallel-plate blocking electrodes, between which a voltage is applied. Finally, the results of this approach are compared to those of the continuum model based on the Poisson-Nernst-Planck equations. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2011-07-20T17:22:16Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Chikmagalur_Karthik.pdf: 1090121 bytes, checksum: 14dc8ae7f469c7fcdc4e97ef7e63b916 (MD5) Made available in DSpace on 2011-08-25T22:17:09Z (GMT). No. of bitstreams: 2 Chikmagalur_Karthik.pdf: 1090121 bytes, checksum: 14dc8ae7f469c7fcdc4e97ef7e63b916 (MD5) license.txt: 4069 bytes, checksum: a98240ee06ae4310f8ced88a068d7bb3 (MD5) http://hdl.handle.net/2142/26168 en Copyright 2011 Karthik Chikmagalur double layer charging debye layer Langevin equation poisson-nernst-planck equations A study of electrochemical transport and diffuse charge dynamics using a Langevin equation Mechanical Sci & Engineering 1917 Theoretical & Applied Mechans 0242 University of Illinois at Urbana-Champaign Thesis M.S. MS:Theor&Appl Mechanics -UIUC 10KS0242MS