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- Silvia Ahualli, Ángel V. Delgado, S. J. Miklavcic, Lee R. White
- Langmuir : the ACS journal of surfaces and…
- 2006

This paper outlines a complete and self-consistent cell model theory of the electrokinetics of dense spherical colloidal suspensions for general electrolyte composition, frequency of applied field, zeta potential, and particle size. The standard electrokinetic equations, first introduced for any given particle configuration, are made tractable to… (More)

- J. Aarão, B. H. Bradshaw-Hajek, S. J. Miklavcic, D. A. Ward
- J. Computational Applied Mathematics
- 2011

- Phil Attard, S. J. Miklavcic
- Journal of colloid and interface science
- 2002

It is shown that the interaction of a particle with a liquid drop or a gas bubble may be quantitatively described over the whole distance regime by treating the fluid interface as a Hookean spring. An algorithm suitable for analyzing atomic force microscopy data suitable for a calculator or a spread-sheet is given and applied to data for oil drops.

- B. H. Bradshaw-Hajek, S. J. Miklavcic, Lee R. White
- Langmuir : the ACS journal of surfaces and…
- 2008

This paper outlines the application of a self-consistent cell-model theory of electrokinetics to the problem of determining the electrical conductivity of a dense suspension of spherical colloidal particles. Numerical solutions of the standard electrokinetic equations, subject to self-consistent boundary conditions, are implemented in formulas for the… (More)

- B. H. Bradshaw-Hajek, S. J. Miklavcic, Lee R. White
- Langmuir : the ACS journal of surfaces and…
- 2010

A matched asymptotic analysis of the system of equations governing the electrokinetic cell model of ref 4 (Ahualli, S.; Delgado, A.; Miklavcic, S.; White, L. R. Langmuir 2006, 22, 7041) is performed. Asymptotic expressions are obtained for the dynamic mobility and complex conductivity response of a dense suspension of charged spherical particles to an… (More)

- Silvia Ahualli, Ángel V. Delgado, S. J. Miklavcic, Lee R. White
- Journal of colloid and interface science
- 2007

In this paper we evaluate the validity of a cell model for the calculation of the dynamic mobility of concentrated suspensions of spheres. The key point is the consideration of the boundary conditions (electrical and hydrodynamic) at the boundary of the fluid cell surrounding a single probe particle. The model proposed is based on a universal criterion for… (More)

- B. H. Bradshaw-Hajek, S. J. Miklavcic, Lee R. White
- Langmuir : the ACS journal of surfaces and…
- 2010

In this paper, we present a theoretical analysis of the dielectric response of a dense suspension of spherical colloidal particles based on a self-consistent cell model. Particular attention is paid to (a) the relationship between the dielectric response and the conductivity response and (b) the connection between the real and imaginary parts of these… (More)

- S. J. Miklavcic, Lee R. White
- Langmuir : the ACS journal of surfaces and…
- 2006

This article concerns the stability of the air-water interface subjected to a 2D attractive van der Waals stress. The physical problem models the setup of a Wilhelmy plate experiment prior to three-phase contact line formation. We present and employ an unambiguous condition to quantify the stability limit in terms of the distance of closest approach of a… (More)

- B. H. Bradshaw-Hajek, S. J. Miklavcic, D. A. Ward
- J. Computational Applied Mathematics
- 2013

In this paper, the Extended-Domain-Eigenfunction-Method (EDEM) is combined with the Level Set Method in a composite numerical scheme for simulating a moving boundary problem. The liquid velocity is obtained by formulating the problem in terms of the EDEM methodology and solved using a least square approach. The propagation of the free surface is effected by… (More)

The extended-domain-eigenfunction method (EDEM) proposed for solving elliptic boundary value problems on annular-like domains requires an inversion process. The procedure thus represents an ill-posed problem, whose numerical solution involves an ill-conditioned system of equations. In this paper, the ill-posed nature of EDEM is studied and numerical… (More)