Electroosmotic Flow of Viscoelastic Fluid in a Nanoslit

Mei, Lanju; Zhang, Hongna; Hu, Meng; Qian, Shizhi

doi:10.3390/mi9040155

Cited by 28 publications

(23 citation statements)

References 44 publications

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“…The high Weissenberg number problem (HWNP) loses numerical accuracy and stability under relatively high Wi [35,52]. The Log Conformation Reformulation (LCR) method [52,53] has proven to be one of the most effective strategies for overcoming this problem, and the procedure is presented as follows.…”

Section: Numerical Methods and Code Validationmentioning

confidence: 99%

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Electroosmotic Flow Behavior of Viscoelastic LPTT Fluid in a Microchannel

Chen

et al. 2019

Micromachines

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In many research works, the fluid medium in electroosmosis is considered to be a Newtonian fluid, while the polymer solutions and biological fluids used in biomedical fields mostly belong to the non-Newtonian category. Based on the finite volume method (FVM), the electroosmotic flow (EOF) of viscoelastic fluids in near-neutral (pH = 7.5) solution considering four ions (K+, Cl−, H+, OH−) is numerically studied, as well as the viscoelastic fluids’ flow characteristics in a microchannel described by the Linear Phan-Thien–Tanner (LPTT) constitutive model under different conditions, including the electrical double layer (EDL) thickness, the Weissenberg number (Wi), the viscosity ratio and the polymer extensibility parameters. When the EDL does not overlap, the velocity profiles for both Newtonian and viscoelastic fluids are plug-like and increase sharply near the charged wall. Compared with Newtonian fluid at Wi = 3, the viscoelastic fluid velocity increases by 5 times and 9 times, respectively, under the EDL conditions of kH = 15 and kH = 250, indicating the shear thinning behavior of LPTT fluid. Shear stress obviously depends on the viscosity ratio and different Wi number conditions. The EOF is also enhanced by the increase (decrease) in polymer extensibility parameters (viscosity ratio). When the extensibility parameters are large, the contribution to velocity is gradually weakened.

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Section: Numerical Methods and Code Validationmentioning

confidence: 99%

“…Li et al [34] studied the transient flow of Maxwell fluid in a long, straight microchannel and the effect of relaxation time. Mei et al [35] analyzed the EOF characteristics of Linear Phan-Thien-Tanner (LPTT) fluids in a nanoslit with EDL overlap.…”

Section: Introductionmentioning

confidence: 99%

Electroosmotic Flow Behavior of Viscoelastic LPTT Fluid in a Microchannel

Chen

et al. 2019

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“…They later [ 8 ] reported an approximate analytical solution to a similar flow in a slit microchannel. Mei et al [ 9 ] studied the electroosmotic flow of a linear Phan–Thien–Tanner fluid in a nanoslit by solving numerically the nonlinear Poisson–Nernst–Planck equations. Matías et al [ 10 ] presented a perturbation analysis of Joule heating effects on electroosmotic flow in a microcapillary tube filled with immiscible Newtonian and power-law fluids.…”

Section: Linear Electrokinetic Phenomena (Seven Papers)mentioning

confidence: 99%

Editorial for the Special Issue on Micro/Nano-Chip Electrokinetics, Volume II

Xuan

Qian

2018

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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%

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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Electroosmotic Flow of Viscoelastic Fluid in a Nanoslit

Cited by 28 publications

References 44 publications

Electroosmotic Flow Behavior of Viscoelastic LPTT Fluid in a Microchannel

Electroosmotic Flow Behavior of Viscoelastic LPTT Fluid in a Microchannel

Editorial for the Special Issue on Micro/Nano-Chip Electrokinetics, Volume II

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

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