Electrokinetic flow of non-Newtonian fluids in microchannels

Berli, Claudio Luis Alberto; Olivares, María Laura

doi:10.1016/j.jcis.2007.12.032

Cited by 160 publications

(129 citation statements)

References 31 publications

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“…Recently, the necessity of manipulation of biofluids (for example blood, DNA solutions) and polymeric liquids in small confinements has triggered a renewed interest in the dynamics of nonNewtonian fluid. Berli theoretically studied the utilization of steady PDF (Berli 2010a), steady EOF (Olivares et al 2009;Berli 2010b), and steady combined PDF-EOF (Berli and Olivares 2008) for inelastic non-Newtonian fluids using a power law constitutive equation in both rectangular and cylindrical microchannels. Experiments carried out for steady PDF non-Newtonian flow in a rectangular microchannel inspired by Berli's theory were also reported Abstract In this paper we present an in-depth analysis and analytical solution for time periodic hydrodynamic flow (driven by a time-dependent pressure gradient and electric field) of viscoelastic fluid through cylindrical micro-and nanochannels.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the effects of time periodic pressure and potential gradients on viscoelastic fluid flow in circular narrow confinements

Nguyen

Meer

Berg

et al. 2017

Microfluid Nanofluid

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Section: Introductionmentioning

confidence: 99%

Investigation of the effects of time periodic pressure and potential gradients on viscoelastic fluid flow in circular narrow confinements

Nguyen

Meer

Berg

et al. 2017

Microfluid Nanofluid

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“…Electro-osmotic flows of non-Newtonian fluids in the microchannels were also addressed theoretically. [16][17][18][19][20][21][22][23] Recently, experimental investigations 24,25 were performed for the electro-osmotic flow of a typical polymer solution in microchannels. In addition, the generalized Helmholtz-Smoluchowski velocity derived in Ref.…”

Section: Introductionmentioning

confidence: 99%

Electro-osmotic mobility of non-Newtonian fluids

Zhao

Yang

2011

Biomicrofluidics

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Electrokinetically driven microfluidic devices are usually used to analyze and process biofluids which can be classified as non-Newtonian fluids. Conventional electrokinetic theories resulting from Newtonian hydrodynamics then fail to describe the behaviors of these fluids. In this study, a theoretical analysis of electro-osmotic mobility of non-Newtonian fluids is reported. The general Cauchy momentum equation is simplified by incorporation of the Gouy-Chapman solution to the Poisson-Boltzmann equation and the Carreau fluid constitutive model. Then a nonlinear ordinary differential equation governing the electro-osmotic velocity of Carreau fluids is obtained and solved numerically. The effects of the Weissenberg number ͑Wi͒, the surface zeta potential ͑ s ͒, the power-law exponent ͑n͒, and the transitional parameter ͑␤͒ on electro-osmotic mobility are examined. It is shown that the results presented in this study for the electro-osmotic mobility of Carreau fluids are quite general so that the electro-osmotic mobility for the Newtonian fluids and the power-law fluids can be obtained as two limiting cases.

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“…In this section, we will discuss their influence on the transient EOF velocity in detail. In the following computations, the normalized thickness of the depletion layer δ H is taken as 0.1 [29] andψ 0 is taken as 1. The numerical inversion of Laplace transforms is based on Fig.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…However, such a situation is hardly found in experiments. In fact, due to the unavoidable interaction between macro-molecules and the channel surface, polymer depletion and adsorption phenomena will be produced [29]. Sousa et al [30] investigated the effects of the depletion layer on electroosmotic Poiseuille flows of PTT (Phan-Thien-Tanner) fluids.…”

Section: Introductionmentioning

confidence: 99%

Transient electroosmotic flow of general Maxwell fluids through a slit microchannel

Jian

Chang

et al. 2013

Z. Angew. Math. Phys.

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Abstract. Using Laplace transform method, semi-analytical solutions are presented for transient electroosmotic flow of Maxwell fluids between micro-parallel plates. The solution involves solving the linearized Poisson-Boltzmann equation, together with the Cauchy momentum equation and the Maxwell constitutive equation considering the depletion effect produced by the interaction between macro-molecules of the Maxwell fluids and the channel surface. The overall flow is divided into depletion layer and bulk flow outside of depletion layer. In addition, the Maxwell stress is incorporated to describe the boundary condition at the interface. The velocity expressions of these two layers were obtained respectively. By numerical computations of inverse Laplace transform, the influences of viscosity ratio μ, density ratio ρ, dielectric constant ratio ε of layer II to layer I, relaxation timeλ 1 , interface charge density jump Q, and interface zeta potential difference Δψ on transient velocity amplitude are presented. Mathematics Subject Classification (2000). 76A05 · 76D05 · 76W05.

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Electrokinetic flow of non-Newtonian fluids in microchannels

Cited by 160 publications

References 31 publications

Investigation of the effects of time periodic pressure and potential gradients on viscoelastic fluid flow in circular narrow confinements

Investigation of the effects of time periodic pressure and potential gradients on viscoelastic fluid flow in circular narrow confinements

Electro-osmotic mobility of non-Newtonian fluids

Transient electroosmotic flow of general Maxwell fluids through a slit microchannel

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