Abstract
In the present work, an analytical approximate solution of mixed electroosmotic/pressure driven flow of viscoelastic fluids between a parallel plates microchannel is reported. Inserting the Oldroyd, Jaumann, or both time derivatives into the Maxwell model, important differences in the velocity profiles were found. The presence of the shear and normal stresses is only close to the wall. This model can be used as a tool to understand the flow behavior of low viscosity fluids, as most of them experiment on translation, deformation and rotation of the flow. For practical applications, the volumetric flow rate can be controlled with two parameters, namely the gradient pressure and the electrokinetic parameter, once the fluid has been rheologically characterized.
Highlights
Microfluidics deals with the behavior, precise control and manipulation of fluids that are geometrically constrained to a small, typically sub-millimeter scale
The role of electrokinetic phenomena in the tasks of microfluidic devices has grown over the years; the first experimental and theoretical developments on electrokinetic transport phenomena are attributed to Reuss (1809), Helmholtz (1879) and Smoluchowski (1903) [2]
The results show an enhancement of the electroosmotic velocity due to the shear thinning effect
Summary
Microfluidics deals with the behavior, precise control and manipulation of fluids that are geometrically constrained to a small, typically sub-millimeter scale It is a multidisciplinary field intersecting engineering, physics, chemistry, microtechnology and biotechnology [1]. Important applications are found in thermo/mechanical (heating/cooling systems, pumping, design, control, saving material and energy), chemical (mixing, separation and homogeneous/heterogeneous reactions), biomedical (collection, dispensing, detection, mixing and species separation) and pharmaceutical (drug delivery) industries. In this context, the role of electrokinetic phenomena in the tasks of microfluidic devices has grown over the years; the first experimental and theoretical developments on electrokinetic transport phenomena are attributed to Reuss (1809), Helmholtz (1879) and Smoluchowski (1903) [2]. It is fundamental to understand the electrokinetic phenomena involved in these microfluidic devices [1,6]
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