Effects of diffusive Reynolds number on electro-osmotic pulsating nanofluid flow

Mukherjee, S.; Shit, G. C.; Vajravelu, K.

doi:10.1063/5.0129837

Cited by 9 publications

(1 citation statement)

References 43 publications

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“…Alternating current is used for the external electric potential, which allows to emphasize that the potential induced by the double electric layer depends entirely on the pH of the solution and the salt concentration at the bottom of the system. S Mukherjee et al (2022) [10] analyzed a pulsating electroosmotic nanofluid flow circulating in a microchannel with porous walls where the velocity profiles are analyzed considering the ion diffusion coefficients due to the formation of electric potential and frictional forces on the temperature profiles and nanoparticle concentration. Amit Mondal et al (2022) [11] studied an electrolytic solution of a non-Newtonian fluid which is described to viscosity by the power law under the action of a magnetic field in a microchannel, and its thermoelectroosmotic mobility.…”

Section: Introductionmentioning

confidence: 99%

Viscoelectric effect analysis in an electroosmotic flow with microchannel wall slip

et al. 2023

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In the present work, we developed a numerical analysis for an electroosmotic flow circulating in a rectangular microchannel considering electrolyte viscosity as a function of the induced electric field; which is also reflected in the slip condition imposed on the system walls, since the slip length is a function of the fluid viscosity. It should be clarified this is an entirely hydrodynamic problem, and for this reason there are no induced pressure gradients, because we are in the presence of a purely electroosmotic flow, where the fluid motion is due only to electrokinetic forces. Based on these comments, the problem is centered on high induced potentials, enabling viscoelectric effect analysis in the electroosmotic flow, which leads to significant increases in velocity and volumetric flow profiles compared to the case where the viscosity is a constant and there is no slip condition. Due to analytical analysis limitations, we implemented a dimensionless equation scheme defined by the continuity equation, the momentum equations in the x and y direction, the Poisson-Boltzmann equation, and the charge conservation equation to obtain the velocity and volumetric flow rate profiles mentioned above. This model is described in its variational form in order to implement the finite element technique using free software, FreeFem++.

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Section: Introductionmentioning

confidence: 99%

Viscoelectric effect analysis in an electroosmotic flow with microchannel wall slip

et al. 2023

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Scaling Effects of the Weissenberg Number in Electrokinetic Oldroyd‐B Fluid Flow Within a Microchannel

Mukherjee,

Pal,

Gopmandal

et al. 2024

Electrophoresis

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This study attempts to extend previous research on electrokinetic turbulence (EKT) in Oldroyd‐B fluid by investigating the relationship between the Weissenberg number () and the second‐order velocity structure function () under applied electric fields. Inspired by Sasmal's demonstration in Sasmal (2022) of how heterogeneous zeta potentials induce turbulence above a critical , we develop a mathematical framework linking to turbulent phenomena. Our analysis incorporates recent findings on AC (Zhao & Wang, 2017) and DC (Zhao & Wang 2019) EKT, which have defined scaling laws for velocity and scalar structure functions in the forced cascade region. Our finding shows that and , for a length scale , and , where is a velocity fluctuations quantity and denotes the time relaxation parameter. This work establishes a positive correlation between and turbulent flow phenomena through a rigorous analysis of velocity structure functions, thereby offering a mathematical foundation for building the design and optimization of EKT‐based microfluidic devices.

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Entropy analysis of MHD flow in hybrid nanofluid over a rotating disk with variable viscosity and nonlinear thermal radiation

Mandal,

Mukherjee,

Shit

et al. 2024

Z Angew Math Mech

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In this study, we aim to investigate the entropy production in the magnetohydrodynamic (MHD) flow of hybrid nanofluids over permeable rotating disks. We will analyze the entropy production within a three‐dimensional MHD flow of Ag‐MgO nanofluid over a rotating porous disk with variable fluid properties. Our analysis will incorporate time‐dependent radial stretching and slip effects on velocities and temperature. Moreover, the study will take into account exponentially temperature‐dependent viscosity and nonlinear thermal radiation. The study uses self‐similar transformations to convert the coupled nonlinear partial differential equations into a set of nonlinear ordinary differential equations. Numerically solving these equations involves using a shooting technique and relies on the 4th‐order Runge–Kutta–Fehlberg method. The rotation of the disk introduces a parameter that accelerates fluid motion. The study explores heat transfer rate, skin friction, and entropy production quantified by the Bejan number. Various factors, including magnetic field intensity, disk rotation, thermal radiation, and variable viscosity, influence this quantification. The outcomes of the study can enhance system efficiency through suitable parameter choices, deepening our understanding of entropy generation and system performance under varying factors. This research is important for improving heat transfer processes, reducing energy waste, and improving the design and operation of advanced fluid systems in engineering applications. The results could lead to innovations in thermal management, energy conservation, and sustainable engineering practices.

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Effects of diffusive Reynolds number on electro-osmotic pulsating nanofluid flow

Cited by 9 publications

References 43 publications

Viscoelectric effect analysis in an electroosmotic flow with microchannel wall slip

Viscoelectric effect analysis in an electroosmotic flow with microchannel wall slip

Scaling Effects of the Weissenberg Number in Electrokinetic Oldroyd‐B Fluid Flow Within a Microchannel

Entropy analysis of MHD flow in hybrid nanofluid over a rotating disk with variable viscosity and nonlinear thermal radiation

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