Transient electroosmotic slip flow of fractional Oldroyd-B fluids

Jiang, Yuting; Qi, Haitao; Xu, Huanying; Jiang, Xiaoyun

doi:10.1007/s10404-016-1843-x

Cited by 85 publications

(38 citation statements)

References 46 publications

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“…Jiang et al. presented the electroosmotic slip flow of fractional Oldroyd‐B fluid in a circular micro‐channel. Wang et al.…”

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%

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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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“…Jiang et al. presented the electroosmotic slip flow of fractional Oldroyd‐B fluid in a circular micro‐channel. Wang et al.…”

Section: Introductionmentioning

confidence: 99%

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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“…For viscoelastic fluids, the slip condition is considerably important [37]. This feature has many applications in medical science, for example, polishing artificial heart valves [38]. There are several situations that include polymer fluids with high weight molecules, heavy suspensions, and lubrication problems flowing through multiple interfaces.…”

Section: Introductionmentioning

confidence: 99%

Effect of Brownian Diffusion on Squeezing Elastico-Viscous Nanofluid Flow with Cattaneo-Christov Heat Flux Model in a Channel with Double Slip Effect

Karim¹,

Samad²

2020

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The present study deals with the analysis of heat transfer of the unsteady Maxwell nanofluid flow in a squeezed rotating channel of a porous extensile surface subject to the velocity and thermal slip effects incorporating the theory of heat flow intensity of Cattaneo-Christov model for the expression of the energy distribution in preference to the classical Fourier's law. A set of transformations is occupied to renovate the current model in a system of nonlinear ordinary differential equations that are numerically decoded with the help of MATLAB integrated function bvp4c. The effects of various flow control parameters are investigated for the momentum, temperature and diffusion profiles, as well as for the wall shearing stress and the heat and mass transfer. The results are finally described from the material point of view. A comparison of heat flux models of Cattaneo-Christov and Fourier is also performed. An important result from the present work is that the squeezing parameter is strong enough in the middle of the channel to retard the fluid flow. How to cite this paper: Karim, M.E. and Samad, M.A. (2020) Effect of Brownian Diffusion on Squeezing Elastico-Viscous Nanofluid Flow with Cattaneo-Christov Heat Flux Model in a Channel with Double Slip Effect. Applied Mathematics, 11, 277-291.

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“…The generalized Oldroyd-B fluid is a particular subclass of non-Newtonian fluids. Some recent papers about the generalized Oldroyd-B fluids can be found in references [23,24]. The fundamental electromagnetic relations have been summarized by Sutton [25].…”

Section: Introductionmentioning

confidence: 99%

Finite difference scheme for simulating a generalized two-dimensional multi-term time fractional non-Newtonian fluid model

et al. 2018

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A finite difference scheme, based upon the Crank-Nicolson scheme, is applied to the numerical approximation of a two-dimensional time fractional non-Newtonian fluid model. This model not only possesses a multi-term time derivative, but also contains a special time fractional operator on the spatial derivative. And a very important lemma is proposed and also proved, which plays a vital role in the proof of the unconditional stability. The stability and convergence of the finite difference scheme are discussed and theoretically proved by the energy method. Numerical experiments are given to validate the accuracy and efficiency of the scheme, and the results indicate that this Crank-Nicolson difference scheme is very effective for simulating the generalized non-Newtonian fluid diffusion model.

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Transient electroosmotic slip flow of fractional Oldroyd-B fluids

Cited by 85 publications

References 46 publications

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

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

Effect of Brownian Diffusion on Squeezing Elastico-Viscous Nanofluid Flow with Cattaneo-Christov Heat Flux Model in a Channel with Double Slip Effect

Finite difference scheme for simulating a generalized two-dimensional multi-term time fractional non-Newtonian fluid model

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