This work presents a finite volume method used to solve the relevant coupled equations for general electro-osmotic flows of viscoelastic fluids, using the upper-convected Maxwell and the simplified Phan-Thien–Tanner models. Three different implementations of the electro-osmosis physical models were carried out, which depend on the required level of approximation. In the first implementation, th...

We present a mean-field theory for charged polymer chains in an external electrostatic field in the weak and strong coupling limits. We apply the theory to describe the statistical mechanics of flexible polyelectrolyte chains in a hexagonal columnar lattice of stiff cylindrical macroions, such as DNA, in a bathing solution of a uni-univalent salt (e.g. NaCl). The salt effects are first describe...

This work examines the influence of ions in solution on electroosmosis inside a fused silica capillary using capillary electrophoresis; it thereby examines “shielding” at charged interfaces. Theories are reviewed that model ionic solutions as continuous dielectrics: the nonlinear form of the Poisson-Boltzmann equation gives rise to the simplified, more commonly used Debye-Hückel (DH) equation. ...

A simple set of trimethylene-substituted even, fully-π-bonded, non-alternant monocycles is shown to have several key features in common with acyclic, even alternant polyenes at the Hückel level. These non-alternant molecules provide a bridge between alternant and non-alternant hydrocarbons. This topic might serve as a useful addition to Hückel theory courses targeted at senior undergraduate stu...

– The recent generalized Debye-Hückel (GDH) theory is applied to the calculation of the charge-charge correlation function, GZZ(r). The resulting expression satisfies both i) the charge neutrality condition and ii) the Stillinger-Lovett second-moment condition for all T and ρN , the overall ion density, and iii) exhibits charge oscillations for densities above a “Kirkwood line” in the (ρN , T )...

In the Derjaguin-Landau-Verwey-Overbeek (DLVO) framework of the past 60 years, colloidal interaction between similarly charged particles has been claimed to be simply repulsive, and an attraction such as the van der Waals interaction is attached to the Coulombic repulsion. Statistical-thermodynamic considerations show that the electrostatic Helmholtz free energy ΔF(el) is generally not equal to...

We introduce a stochastic model of two-dimensional Brownian vortices associated with the canonical ensemble. The point vortices evolve through their usual mutual advection but they experience in addition a random velocity and a systematic drift generated by the system as a whole. The statistical equilibrium state of this stochastic model is the Gibbs canonical distribution. We consider a single...

The effect of a concentration-dependent relative static permittivity (RSP) and viscosity on the predictions equivalent conductivity models is studied. full version simplified mean spherical approximation along with four Debye-Hückel-Onsager (DHO) based are used to predict nine 1:1 aqueous electrolyte solutions at 25°C. Three DHO have been developed in this study by combining electrophoretic rel...

This paper studies an efficient numerical method for solving modified Poisson-Boltzmann (MPB) equations with the self Green's function as a state equation to describe electrostatic correlations in ionic systems. Previously, most expensive point of MPB solver is evaluation function. The requires high-dimensional partial differential equations, which computational bottleneck equations. Numericall...