Dispersive mixing in a batch electrophoretic cell with Eyring fluids

Abstract

The main objective of this study is analysis of dispersive mixing inside a batch electrophoretic cell due to Joule heating, especially for the case of non-Newtonian carriers. To this end, a carrier fluid that follows the Eyring rheological model is used in the analysis of the species convective-diffusive equation that describes the solute motion inside the device. The hydrodynamic problem (Bosse, M. A. et al., Electrophoresis 2002, 23, 2149-2156) of the electrophoretic cell is sequentially coupled to this equation. Then, by following a procedure based on the area-averaging method, an effective diffusion coefficient is obtained. This equation is the first a priori design equation for devices such as the ones analyzed in this contribution. It is useful in determining mixing conditions for the values of the relevant parameters of the physical system. The results of this analysis are used to study the cell behavior under several conditions imposed by their main parameters. Finally, some suggestions are offered about the use of Eyring fluids as potential carriers useful for controlling dispersive mixing in batch electrophoretic cells.

Electroosmotic flows of viscoelastic fluids with asymmetric electrochemical boundary conditions

“…Controlling biological fluids, such as blood, saliva, and DNA solutions, would be such a case. In theoretical studies of this case, appropriate nonNewtonian constitutive relations must be considered to properly predict the EOF [5][6][7][8][9][10][11][12].…”

Effect of viscoelasticity on the flow pattern and the volumetric flow rate in electroosmotic flows through a microchannel

“…The electroosmotic flows through microchannels can be predicted employing a Navier-Stokes equation for Newtonian fluids with a electroosmotic body force which is usually obtained from the Poisson-Boltzmann equation governing the electric field formed by ionic unbalance in the electric double layer. 1,5 However, many biofluids such as blood, saliva and DNA solutions processed in labchips are viscoelastic [6][7][8][9][10][11][12] and these equations for Newtonian fluids may turn out to be somewhat inadequate for viscoelastic fluids. The viscoelastic fluids show extraordinary flow behaviors, not existing in Newtonian fluids, such as rod-climbing, shear thinning or pseudoplastic behavior, secondary flow in a straight channel and elastic recoil.…”