Numerical Analysis for Temperature Changes in an Electro-Osmotic Flow in a Microchannel

Lizardi, J.; Ramos, Edgar A.; Méndez, F.

doi:10.2514/1.t5489

Cited by 10 publications

(6 citation statements)

References 28 publications

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“…The numerical method employed to solve the system of nonlinear coupled differential equations governing the physical behavior has been described and discussed in previous research works by Ramos et al [35] and Lizardi et al [36], in this case, we take special attention is focused on the treatment of the effect of the electric field on the viscosity in the near-wall region, so that we can solve the full system of equations ( 12)-( 16) with their corresponding coupled boundary conditions (17)- (22). We employ FreeFem++ software [37] for this purpose, we use the classical finite-element method to tackle the coupled governing equations.…”

Section: Numerical Solutionmentioning

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: Numerical Solutionmentioning

confidence: 99%

Viscoelectric effect analysis in an electroosmotic flow with microchannel wall slip

et al. 2023

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“…They showed that heat transfer depends on fluids' power-law index. Xuan et al [111] studied the electroosmotic velocity with the Joule heating effect in a homogeneous capillary fluid. They developed fluorescence-based thermometry techniques to measure the liquid temperature and speed in a capillary tube.…”

Section: Primary Effects Of Viscous Dissipationmentioning

confidence: 99%

“…To construct Figure 1, data have been taken from the published papers [109,111]. The electric current passes through the buffer solution in the capillary, which strongly influences the Joule heating parameter.…”

mentioning

confidence: 99%

“…Vargas et al [126] analyzed temperature-dependent viscosity, arbitrary zeta potential, and electrical conductivity with the Joule heating effect of electroosmotic mobility in microchannels. To construct Figure 1, data have been taken from the published papers [109,111]. The electric current passes through the buffer solution in the capillary, which strongly influences the Joule heating parameter.…”

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confidence: 99%

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Review and Analysis of Electro-Magnetohydrodynamic Flow and Heat Transport in Microchannels

Kundu

Saha

2022

Energies

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This paper aims to develop a review of the electrokinetic flow in microchannels. Thermal characteristics of electrokinetic phenomena in microchannels based on the Poisson–Boltzmann equation are presented rigorously by considering the Debye–Hückel approximation at a low zeta potential. Several researchers developed new mathematical models for high electrical potential with the electrical double layer (EDL). A literature survey was conducted to determine the velocity, temperature, Nusselt number, and volumetric flow rate by several analytical, numerical, and combinations along with different parameters. The momentum and energy equations govern these parameters with the influences of electric, magnetic, or both fields at various preconditions. The primary focus of this study is to summarize the literature rigorously on outcomes of electrokinetically driven flow in microchannels from the beginning to the present. The possible future scope of work highlights developing new mathematical analyses. This study also discusses the heat transport behavior of the electroosmotically driven flow in microchannels in view of no-slip, first-order slip, and second-order slip at the boundaries for the velocity distribution and no-jump, first-order thermal-slip, and second-order thermal-slip for the thermal response under maintaining a uniform wall-heat flux. Appropriate conditions are conferred elaborately to determine the velocity, temperature, and heat transport in the microchannel flow with the imposition of the pressure, electric, and magnetic forces. The effects of heat transfer on viscous dissipation, Joule heating, and thermal radiation envisage an advanced study for the fluid flow in microchannels. Finally, analytical steps highlighting different design aspects would help better understand the microchannel flow’s essential fundamentals in a single document. They enhance the knowledge of forthcoming developmental issues to promote the needed study area.

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“…Endowed with the capability in the fabrication of microelectrode, the application of electroosmotic flow has been widely used for pumping fluids in microfluidic devices (Singh et al , 2008; Tang et al , 2009; Di Fraia et al , 2017; Jiang et al , 2017; Lizardi et al , 2019; Basati et al , 2019). The electroosmotic flow is induced by the direct conversion of electrical energy into kinetic energy of the fluid containing electrolyte solution (Lewis and Garner, 1972; Lewis et al , 1975; Chang and Hung, 2016).…”

Section: Introductionmentioning

confidence: 99%

Gravitational effects on electroosmotic flow in micro heat pipes

Chang

Hung

2019

HFF

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Purpose This paper aims to investigate the coupled effects of electrohydrodynamic and gravity forces on the circulation effectiveness of working fluid in an inclined micro heat pipe driven by electroosmotic flow. The effects of the three competing forces, namely, the capillary, the gravitational and the electrohydrodyanamic forces, on the circulation effectiveness of a micro heat pipe are compared and delineated. Design/methodology/approach The numerical model is developed based on the conservations of mass, momentum and energy with the incorporation of the Young–Laplace equation for electroosmotic flow in an inclined micro heat pipe incorporating the gravity effects. Findings By inducing electroosmotic flow in a micro heat pipe, a significant increase in heat transport capacity can be attained at a reasonably low applied voltage, leading to a small temperature drop and a high thermal conductance. However, the favorably applied gravity forces pull the liquid toward the evaporator section where the onset of flooding occurs within the condenser section, generating a throat that shrinks the vapor flow passage and may lead to a complete failure on the operation of micro heat pipe. Therefore, the balance between the electrohydrodyanamic and the gravitational forces is of vital importance. Originality/value This study provides a detailed insight into the gravitational and electroosmotic effects on the thermal performance of an inclined micro heat pipe driven by electroosmotic flow and paves the way for the feasible practical application of electrohydrodynamic forces in a micro-scale two-phase cooling device.

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Numerical Analysis for Temperature Changes in an Electro-Osmotic Flow in a Microchannel

Cited by 10 publications

References 28 publications

Viscoelectric effect analysis in an electroosmotic flow with microchannel wall slip

Viscoelectric effect analysis in an electroosmotic flow with microchannel wall slip

Review and Analysis of Electro-Magnetohydrodynamic Flow and Heat Transport in Microchannels

Gravitational effects on electroosmotic flow in micro heat pipes

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