Influence of cell-model boundary conditions on the conductivity and electrophoretic mobility of concentrated suspensions

Cell Model of the Direct Current Electrokinetics in Salt-Free Concentrated Suspensions: The Role of Boundary Conditions

“…However, recall that larger discrepancies have been reported between mobilities according to both boundary frames (with the same macroscopic criterion for mobility definition) for colloidal particles in concentrated suspensions in ionic solutions. 37 It must be taken into account that the region of larger discrepancies was found to correspond to a zone of intermediate κa values, much higher than the κa values of the salt-free cases analyzed in this work. Hence, it can be said that a similar electrophoretic behavior is found again in these examples as in ionic suspensions for low electrolyte concentrations.…”

“…In terms of perturbed quantities, the electrochemical potential of counterions satisfies Furthermore, concerning the ionic perturbation at the outer surface of the cell, two choices are usually described in the literature (see the review paper by Carrique et al, 37 where the different sets of boundary conditions are extensively discussed…”

“…5,27,37,39,40,46 Another electrical boundary condition has been used in the literature. Levine This boundary condition is implicit in Ohshima's electrokinetic models for concentrated suspensions.…”

Mechano-chemical effects in weakly charged porous media

“…[99,100], the authors addressed electroosmotic flow in slit and cylindrical capillaries. A number of studies analyzed Electroosmosis by assuming that the solid phase of the porous medium is made up by particles having spherical, cylindrical or other shapes [101][102][103][104][105][106][107][108][109][110]. In the latter references, the particles formed a regular array or were randomly distributed within the continuous liquid phase.…”

Determination of the zeta potential for highly charged colloidal suspensions

“…Lobaskin et al [8] and Dünweg et al [9], using a lattice Boltzmann (LB) [11] solver coupled to molecular dynamics of ions, calculated the particle mobility for low to zero salt concentration, explicitly accounting for finite ion size, but without providing results for z. Kim et al [10] show agreement with Ohshima's results, but only for weakly charged particles at low salt concentration. Cell models [12] are also employed to describe electrokinetics and to derive mobility versus z curves; however, they rely on somewhat arbitrary boundary conditions for both electrostatics and hydrodynamics.…”