Magnetohydrodynamic electro-osmotic flow of Maxwell fluids with patterned charged surface in narrow confinements

Chu, X.; Jian, Yongjun

doi:10.1088/1361-6463/ab2b27

Cited by 13 publications

(13 citation statements)

References 54 publications

(71 reference statements)

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“…The simple non-Newtonian fluids models mainly include Power-law fluids model, Oldroyd-B fluids model, Maxwell fluids model, and Jeffreys fluids model. Some relevant studies on EOF of simple non-Newtonian fluids can be seen from the list of reference [20][21][22][23][24][25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Time periodic pulse electroosmotic flow of Jeffreys fluids through a parallel plate microchannel

2021

Z Angew Math Mech

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The purpose of this paper is to investigate the time periodic pulse electroosmotic flow (EOF) of Jeffreys fluids through a parallel plate microchannel. The driving mode of pulse EOF here is considered as a rectangle pulse. Using the method of Laplace transform, the analytical solution of velocity and volumetric flow rate of pulse EOF is derived. The effects of pertinent dimensionless parameters on the velocity and volumetric flow rate are discussed in detail. Results show that the pulse width ā is a valuable parameter for analyzing the influence of relaxation time λ1 and retardation time λ2 on magnitude of velocity and volumetric flow rate when the fluid flow reaches the steady state. Increasing the relaxation time λ1 reduces he magnitude of velocity and volumetric flow rate at low value pulse width ā, yet the trend is opposite for larger pulse width ā. The increase of retardation time λ2 will reduce the magnitude of velocity and volumetric flow rate no matter whether the value of pulse width ā is large or not. Furthermore, the frequency of velocity profile and volumetric flow rate is different because of the different pulse width ā. With the increase of pulse width ā, the different change frequency of velocity profile and volumetric flow rate slows down, which means a long cycle time. And as the relaxation time λ1 and pulse width ā grow, the time required for the fluid flow to reach a steady state will become longer. The conclusions have theoretical significance for biofluid based microfluidic transport systems driven by pulsed electric field.

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Section: Introductionmentioning

confidence: 99%

Time periodic pulse electroosmotic flow of Jeffreys fluids through a parallel plate microchannel

2021

Z Angew Math Mech

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“…According to the superposition principle, the equation and boundary conditions are divided into three parts, so the solution of the equation can be expressed as follows [38]:…”

Section: Edl Potential Distributionmentioning

confidence: 99%

The Streaming Potential of Fluid through a Microchannel with Modulated Charged Surfaces

Bian

Jian

2021

Micromachines

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In this paper, the effects of asymmetrically modulated charged surfaces on streaming potential, velocity field and flow rate are investigated under the axial pressure gradient and vertical magnetic field. In a parallel-plate microchannel, modulated charged potentials on the walls are depicted by the cosine function. The flow of incompressible Newtonian fluid is two-dimensional due to the modulated charged surfaces. Considering the Debye–Hückel approximation, the Poisson–Boltzmann (PB) equation and the modified Navier–Stokes (N-S) equation are established. The analytical solutions of the potential and velocities (u and v) are obtained by means of the superposition principle and stream function. The unknown streaming potential is determined by the condition that the net ionic current is zero. Finally, the influences of pertinent dimensionless parameters (modulated potential parameters, Hartmann number and slip length) on the flow field, streaming potential, velocity field and flow rate are discussed graphically. During the flow process and under the impact of the charge-modulated potentials, the velocity profiles present an oscillating characteristic, and vortexes are generated. The results show that the charge-modulated potentials are beneficial for the enhancement of the streaming potential, velocity and flow rate, which also facilitate the mixing of fluids. Meanwhile, the flow rate can be controlled through the use of a low-amplitude magnetic field.

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“…The pioneering work belongs to periodically alternating stripes of wall potentials [21][22][23][24][25] that generally induce recirculating flow regions appearing along the longitudinal coordinate. Nonuniformity of wall potential causing increased dispersion [26,27] and mixing efficiency [28][29][30] in EOF has been the object of many studies in decade years. Through an analytical study for EOF in a slit microchannel with axial step zeta potential, Ng and Chen [31] suggested that transverse mixing can be more effectively achieved when there is a bigger step change of the wall potentials.…”

Section: Introductionmentioning

confidence: 99%

Electrokinetic energy conversion through cylindrical microannulus with periodic heterogeneous wall potentials

Chu¹,

Jian²

2022

J. Phys. D: Appl. Phys.

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In microfluidic electrokinetic flows, heterogeneous wall potentials are often required to fulfill some functions, such as increasing dispersion and mixing efficiency. In this paper, we study the pressure-driven electrokinetic flow through microannulus with heterogeneous wall potentials in circumferential direction. The streaming potential induced by the ions accumulating in downstream of the microannulus is considered and the electrokinetic energy conversion efficiency is further investigated. Interestingly, based on the method of Fourier expansion, the analytical solutions of fluid velocity, streaming potential and energy conversion efficiency are derived for arbitrary peripheral distribution of the small wall potential for the first time. Four specific patterned modes of the heterogeneous wall potential, i.e., constant, step, sinusoid with period 2π and sinusoid with period π/2 are represented. The distributions of the electric potential and the velocity for four different modes are depicted graphically. Furthermore, the variations of the streaming potential and the electrokinetic energy conversion efficiency with related parameters are also discussed. Results show that when these integral values from -π to π associated with the wall potentials are identical, the streaming potential and the electrokinetic energy conversion efficiency corresponding to different modes are the same. Additionally, the amplitude of fluid velocity peripherally reduces with the increase of the wavenumber of wall potential distribution in θ-direction.

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Magnetohydrodynamic electro-osmotic flow of Maxwell fluids with patterned charged surface in narrow confinements

Cited by 13 publications

References 54 publications

Time periodic pulse electroosmotic flow of Jeffreys fluids through a parallel plate microchannel

Time periodic pulse electroosmotic flow of Jeffreys fluids through a parallel plate microchannel

The Streaming Potential of Fluid through a Microchannel with Modulated Charged Surfaces

Electrokinetic energy conversion through cylindrical microannulus with periodic heterogeneous wall potentials

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