Analytical and numerical study of the electro-osmotic annular flow of viscoelastic fluids

Ferrás, Luís Jorge Lima; Afonso, A.M.; Alves, M.A.; Nóbrega, J. M.; Pinho, F.T.

doi:10.1016/j.jcis.2013.12.043

Cited by 45 publications

(15 citation statements)

References 30 publications

(36 reference statements)

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“…For viscoelastic fluid with mixed pressure-electroosmotic driving force, Park et al [ 30 ] also investigated viscoelastic EOF in a microchannel. Afonso et al [ 31 , 32 ] reported analytical solutions for EOF of viscoelastic fluid in a microchannel and between two concentric cylinders using the PTT model and Finitely Extensible Nonlinear Elastic with Peterlin closure (FENE-P) model. Based on the earlier work, Afonso et al [ 33 ] also investigated the EOF of viscoelastic fluid in a microchannel with asymmetric zeta potential, and Sousa et al [ 34 ] derived an analytical solution taking into account the wall depleted layer.…”

Section: Introductionmentioning

confidence: 99%

Electroosmotic Flow of Viscoelastic Fluid in a Nanoslit

Mei

Zhang

et al. 2018

Micromachines

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The electroosmotic flow (EOF) of viscoelastic fluid in a long nanoslit is numerically studied to investigate the rheological property effect of Linear Phan-Thien-Tanner (LPTT) fluid on the fully developed EOF. The non-linear Poisson-Nernst-Planck equations governing the electric potential and the ionic concentration distribution within the channel are adopted to take into account the effect of the electrical double layer (EDL), including the EDL overlap. When the EDL is not overlapped, the velocity profiles for both Newtonian and viscoelastic fluids are plug-like and increase sharply near the charged wall. The velocity profile resembles that of pressure-driven flow when the EDL is overlapped. Regardless of the EDL thickness, apparent increase of velocity is obtained for viscoelastic fluid of larger Weissenberg number compared to the Newtonian fluid, indicating the shear thinning behavior of the LPTT fluid. The effect of the Weissenberg number on the velocity distribution is less significant as the degree of EDL overlapping increases, due to the overall decrease of the shear rate. The increase (decrease) of polymer extensibility (viscosity ratio) also enhances the EOF of viscoelastic fluid.

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Section: Introductionmentioning

confidence: 99%

Electroosmotic Flow of Viscoelastic Fluid in a Nanoslit

Mei

Zhang

et al. 2018

Micromachines

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“…The power‐law model was also used in the literatures and , in which the analytical solution for velocity distribution of the electroosmosis flow in a slit microchannel is obtained. Furthermore, in the analytical and numerical study on electroosmotic flow of viscoelastic fluid, Maxwell fluid model , Oldroyd‐B model , and the Phan–Thien–Tanner fluid model were also extensively considered to describe the rheological behavior of fluids. The experimental study on electroosmotic flow of non‐Newtonian fluids can also be found in .…”

Section: Introductionmentioning

confidence: 99%

“…In most of the research on the electroosmotic flow, the analytical expression of electrostatic potential distribution in electric double layer (EDL) can be obtained by using the Debye–Hückel linear approximation, which was proposed by Debye‐Hückel in 1923, to linearize the Poisson–Boltzmann equation . It is worthy of mentioning here that their analysis is valid only for a low surface potential (ζ < 25 mV).…”

Section: Introductionmentioning

confidence: 99%

Numerical study of electroosmotic slip flow of fractional Oldroyd‐B fluids at high zeta potentials

et al. 2020

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In this paper, an investigation of the electroosmotic flow of fractional Oldroyd-B fluids in a narrow circular tube with high zeta potential is presented. The Navier linear slip law at the walls is considered. The potential field is applied along the walls described by the nonlinear Poisson-Boltzmann equation. It's worth noting here that the linear Debye-Hückel approximation can't be used at the condition of high zeta potential and the exact solution of potential in cylindrical coordinates can't be obtained. Therefore, the Matlab bvp4c solver method and the finite difference method are employed to numerically solve the nonlinear Poisson-Boltzmann equation and the governing equations of the velocity distribution, respectively. To verify the validity of our numerical approach, a comparison has been made with the previous work in the case of low zeta potential and the excellent agreement between the solutions is clear. Then, in view of the obtained numerical solution for the velocity distribution, the numerical solutions of the flow rate and the shear stress are derived. Furthermore, based on numerical analysis, the influence of pertinent parameters on the potential distribution and the generation of flow is presented graphically.Recently, electroosmosis is becoming a universal and an advantageous technique to actuate and control the flow in the micro devices, such as lab-on-a-chip devices, which are extensively used for analyzing and/or processing biofluids, polymeric solutions, colloidal suspensions, etc. [1-3]. These fluids usually exhibit the behavior of non-Newtonian fluids. Over the past few decades, various fruitful theoretical, numerical, and experimental investigations on the electroosmotic flow of non-Newtonian fluids have been carried out. It is worth mentioning here that Zhao and Yang [4] gave a comprehensive review of electrokinetics pertaining to non-Newtonian fluids. Also, we should point out to the earlier work of Das and Chakraborty [5] and Chakraborty [6], where they first investigated the non-Newtonian effects on the electroosmotic flow by using the power-law model. Berli and Olivares [7] used the power-law model, Bingham model, and Eyring model as the constitutive equations to study the electrokinetic flow of different non-Newtonian fluids in slit and cylindrical microchannels. The power-law model was also used in the literatures [8] and [9], in which the analytical solution for velocity Correspondence: Professor Haitao Qi,

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“…Berli et al [27] used a simple power-law model to analyze the electrokinetic flow of through slit and cylindrical microchannels, deriving expressions for flow rate and electric current as functions of the simultaneously applied electric potential and pressure gradients. Ferrás et al [28] employed linear and exponential PTT viscoelastic models to derive semi-analytical solutions for the electro-osmotic annular flow of non-Newtonian liquids. They considered both no slip and slip boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Electro-Osmosis Modulated Viscoelastic Embryo Transport in Uterine Hydrodynamics: Mathematical Modeling

Narla

Tripathi

Bég

2018

Journal of Biomechanical Engineering

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Embryological transport features a very interesting and complex application of peristaltic fluid dynamics. Electro-osmotic phenomena are also known to arise in embryo transfer location. The fluid dynamic environment in embryological systems is also known to be non-Newtonian and exhibits strong viscoelastic properties. Motivated by these applications, the present article develops a new mathematical model for simulating two-dimensional peristaltic transport of a viscoelastic fluid in a tapered channel under the influence of electro-osmosis induced by asymmetric zeta potentials at the channel walls. The robust Jeffrey viscoelastic model is utilized. The finite Debye layer electro-kinetic approximation is deployed. The moving boundary problem is transformed to a steady boundary problem in the wave frame. The current study carries significant physiological relevance to an ever-increasing desire to study intrauterine fluid flow motion in an artificial uterus. The consequences of this model may introduce a new mechanical factor for embryo transport to a successful implantation site. Hydrodynamic characteristics are shown to be markedly influenced by the electro-osmosis, the channel taper angle, and the phase shift between the channel walls. Furthermore, it is demonstrated that volumetric flow rates and axial flow are both enhanced when the electro-osmotic force aids the axial flow for specific values of zeta potential ratio. Strong trapping of the bolus (representative of the embryo) is identified in the vicinity of the channel central line when the electro-osmosis opposes axial flow. The magnitude of the trapped bolus is observed to be significantly reduced with increasing tapered channel length whereas embryo axial motility is assisted with aligned electro-osmotic force.

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Analytical and numerical study of the electro-osmotic annular flow of viscoelastic fluids

Cited by 45 publications

References 30 publications

Electroosmotic Flow of Viscoelastic Fluid in a Nanoslit

Electroosmotic Flow of Viscoelastic Fluid in a Nanoslit

Numerical study of electroosmotic slip flow of fractional Oldroyd‐B fluids at high zeta potentials

Electro-Osmosis Modulated Viscoelastic Embryo Transport in Uterine Hydrodynamics: Mathematical Modeling

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