Electroviscous effects in steady fully developed flow of a power-law liquid through a cylindrical microchannel

Electroviscous effects in a Carreau liquid flowing through a cylindrical microfluidic contraction

“…These include finite element simulations of electroosmotic flow of Carreau fluids in a T-junction microchannel (Zimmerman et al, 2006), mathematical models for electroosmotic flow of power-law fluids in uniform microchannels (Das and Chakraborty, 2006;Chakraborty, 2007;Zhao et al, 2008), and a theoretical model to predict the dependence of flow rate and electric current on applied electric potential and pressure gradient for different shear-dependent viscosity models (Berli and Olivares, 2008). Recently, electroviscous effects in a power-law liquid were investigated by the authors (Bharti et al, 2009) for flow through a uniform cylinder, and later by Tang et al (2010) for flow through a uniform slit. Apart from Bharti et al (2009) and Tang et al (2010), there appear to be no published studies of electroviscous effects on non-Newtonian liquids flowing in microchannels, and none for non-uniform geometries.…”

“…Recently, electroviscous effects in a power-law liquid were investigated by the authors (Bharti et al, 2009) for flow through a uniform cylinder, and later by Tang et al (2010) for flow through a uniform slit. Apart from Bharti et al (2009) and Tang et al (2010), there appear to be no published studies of electroviscous effects on non-Newtonian liquids flowing in microchannels, and none for non-uniform geometries.…”

Investigation of Nonlinear Electrokinetic and Rheological Behaviors of Typical Non-Newtonian Biofluids through Annular Microchannels

“…In addition,  is the effective viscosity given by the following relation (Zhao et al 2008;Bharti et al 2009) …”

“…Employing a finite volume method, Park and Lee (2008) numerically obtained flow field solution of full Phan-ThienTanner (PTT) constitutive equation in a rectangular duct under the action of an external electric field and an applied pressure gradient. Solving the Poisson-Boltzmann and the momentum equations using a finite difference method, Bharti et al (2009) investigated electroviscous effects on steady, fully developed, pressure-driven flow of power-law liquids through a uniform cylindrical microchannel. They found that compared to the Newtonian liquids, the electroviscous effect is stronger in shear-thinning and weaker in shear-thickening liquids.…”

“…A common rheological model for biofluids with shear-dependent viscosity, namely, the power-law model is employed in this study, since it represents adequately, for engineering purposes, the rheology of many biofluidic substances over a wide range of shear rates. Although this model does not asymptote to Newtonian behavior in the limits of both zero and very large shear rates, it has the advantage of both applicability and simplicity to justify its use in investigations of shear-dependent flow behaviors (Bharti et al 2009). For instance, the dependence of blood viscosity on the shear rate or the nonNewtonian nature of blood may be described by the power-law model.…”