Analytical Solution of Electro-Osmotic Peristalsis of Fractional Jeffreys Fluid in a Micro-Channel

Guo, Xiaoyi; Qi, Haitao

doi:10.3390/mi8120341

Cited by 52 publications

(18 citation statements)

References 42 publications

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“…Electroosmotic flow in micro/nanochannels can be significantly affected by the fluid rheological properties in addition to the wall properties. Guo and Qi [ 6 ] obtained an analytical solution of the electroosmotic peristaltic flow of viscoelastic fluids through a cylindrical microchannel using the fractional Jeffrey’s constitutive model. Choi et al [ 7 ] carried out a finite element analysis of the electroosmotic flow of power-law fluids in a rectangular microchannel with asymmetric wall zeta potentials.…”

Section: Linear Electrokinetic Phenomena (Seven Papers)mentioning

confidence: 99%

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

Xuan

Qian

2018

Micromachines

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Section: Linear Electrokinetic Phenomena (Seven Papers)mentioning

confidence: 99%

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

Xuan

Qian

2018

Micromachines

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“…Schit et al analyzed the impact of wall slip velocity on rotating electro‐osmotic flow in a gradually varying microfluidic channel. Guo and Ki investigated electro‐osmotic peristaltic flow of a viscoelastic fluid through a cylindrical microchannel with the fractional Jeffreys constitutive model and a Laplace transform technique. Schit et al studied the EOF of blood in a hydrophobic microfluidic channel under a transverse magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Thermal slip and radiative heat transfer effects on electro‐osmotic magnetonanoliquid peristaltic propulsion through a microchannel

Prakash¹,

Siva

Tripathi

et al. 2019

Heat Trans. Asian Res.

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A mathematical study is described to examine the concurrent influence of thermal radiation and thermal wall slip on the dissipative magnetohydrodynamic electro‐osmotic peristaltic propulsion of a viscous nanoliquid in an asymmetric microchannel under the action of an axial electric field and transverse magnetic field. Convective boundary conditions are incorporated in the model and the case of forced convection is studied, that is, thermal and species (nanoparticle volume fraction) buoyancy forces neglected. The heat source and sink effects are also included and the diffusion flux approximation is employed for radiative heat transfer. The transport model comprises the continuity, momentum, energy, nanoparticle volume fraction, and electric potential equations with appropriate boundary conditions. These are simplified by negating the inertial forces and invoking the Debye–Hückel linearization. The resulting governing equations are reduced into a system of nondimensional simultaneous ordinary differential equations, which are solved analytically. Numerical evaluation is conducted with symbolic software (MATLAB). The impact of different control parameters (Hartmann number, electro‐osmosis parameter, slip parameter, Helmholtz–Smoluchowski velocity, Biot numbers, Brinkman number, thermal radiation, and Prandtl number) on the heat, mass, and momentum characteristics (velocity, temperature, Nusselt number, etc) are presented graphically. Increasing Brinkman number is found to elevate temperature magnitudes. For positive Helmholtz–Smoluchowski velocity (reverse axial electrical field) temperature is strongly reduced, whereas for negative Helmholtz–Smoluchowski velocity (aligned axial electrical field), it is significantly elevated. With increasing thermal slip, nanoparticle volume fraction is also increased. Heat source elevates temperatures, whereas heat sink depresses them, across the microchannel span. Conversely, heat sink elevates nanoparticle volume fraction, whereas heat source decreases it. Increasing Hartmann (magnetic) parameter and Prandtl number enhance the nanoparticle volume fraction. Furthermore, with increasing radiation parameter, the Nusselt number is reduced at the extremities of the microchannel, whereas it is elevated at intermediate distances. The results reported provide a good insight into biomimetic energy systems exploiting electromagnetics and nanotechnology, and, furthermore, they furnish a useful benchmark for experimental and more advanced computational multiphysics simulations.

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“…It is not possible that one fluid model keeps all characteristics of the non-Newtonian fluid. Therefore, researchers introduced many non-Newtonian models such as model of Casson [3,4], Micropolar [5,6], Maxwell [7,8]; Jeffrey [9,10]; Burgers [11,12], etc. The micropolar model was introduced by Eringen in 1966 [13] in which he added the microrotation effect in the equation of Navier Stokes as the equation of Navier Stokes fails to interpret the behavior of such fluids.…”

Section: Introductionmentioning

confidence: 99%

Effect of Viscous Dissipation in Heat Transfer of MHD Flow of Micropolar Fluid Partial Slip Conditions: Dual Solutions and Stability Analysis

et al. 2019

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In this study, first-order slip effect with viscous dissipation and thermal radiation in micropolar fluid on a linear shrinking sheet is considered. Mathematical formulations of the governing equations of the problem have been derived by employing the fundamental laws of conservations which then converted into highly non-linear coupled partial differential equations (PDEs) of boundary layers. Linear transformations are employed to change PDEs into non-dimensional ordinary differential equations (ODEs). The solutions of the resultant ODEs have been obtained by using of numerical method which is presented in the form of shootlib package in MAPLE 2018. The results reveal that there is more than one solution depending upon the values of suction and material parameters. The ranges of dual solutions are S ≥ S c i , i = 0 , 1 , 2 and no solution is S < S c i where S c i is the critical values of S . Critical values have been obtained in the presence of dual solutions and the stability analysis is carried out to identify more stable solutions. Variations of numerous parameters have been also examined by giving tables and graphs. The numerical values have been obtained for the skin friction and local Nusselt number and presented graphically. Further, it is observed that the temperature and thickness of the thermal boundary layer increase when thermal radiation parameter is increased in both solutions. In addition, it is also noticed that the fluid velocity increases in the case of strong magnetic field effect in the second solution.

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Analytical Solution of Electro-Osmotic Peristalsis of Fractional Jeffreys Fluid in a Micro-Channel

Cited by 52 publications

References 42 publications

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

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

Thermal slip and radiative heat transfer effects on electro‐osmotic magnetonanoliquid peristaltic propulsion through a microchannel

Effect of Viscous Dissipation in Heat Transfer of MHD Flow of Micropolar Fluid Partial Slip Conditions: Dual Solutions and Stability Analysis

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