Analytical solution to heat transfer for mixed electroosmotic and pressure-driven flow through a microchannel with slip-dependent zeta potential

Banerjee, Debanjan; Mehta, Sumit Kumar; Pati, Sukumar; Biswas, Pankaj

doi:10.1016/j.ijheatmasstransfer.2021.121989

Cited by 26 publications

(13 citation statements)

References 79 publications

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“…An effort has been made to investigate the sensitivity of nanoparticle volume fraction on the average Nusselt number, which is represented as (Banerjee et al , 2021; Soong et al , 2010): where rφ=NuφNuφ=0.…”

Section: Resultsmentioning

confidence: 99%

Analysis of forced convective nanofluid flow through a wavy channel with linearly varying amplitude at the entrance

Kumar

Mehta

Pati

et al. 2022

HFF

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Purpose The purpose of this paper is to analyze the heat and momentum transfer for steady two-dimensional incompressible nanofluid flow through a wavy channel with linearly varying amplitude in the entrance region. Design/methodology/approach The mass, momentum and energy conservation equations for laminar flow of Cu-water nanofluids are computationally solved using the finite element method. A parametric study is carried out by varying the dimensionless length of the channel section with varying amplitude (EL), Reynolds number (Re) and nanoparticle volume fraction (Φ) in the ranges 0 ≤ EL ≤ 25.5, 105 ≤ Re ≤ 900 and 0 ≤ Φ ≤ 0.04. Findings A higher heat transfer rate is seen in the wavy channel compared to a plane channel beyond a critical value of Re (Recrit) whose value varies with EL; moreover, the overall heat transfer decreases with EL. The heat transfer rate increases with phi for all EL values investigated. The combined effects of the increase in the overall heat transfer and the associated pressure drop in the wavy channel compared to the parallel plate channel are presented as performance factor (PF) against EL. For the highest value of EL (= 25.5), PF monotonically decreases with Re. For smaller values of EL (= 5.5 and 11.5) and also for EL = 0, PF decreases with Re in the lower and the higher Re regimes, while it increases in the intermediate Re regime. In all cases, PF is higher for φ = 0.04 than for the base fluid. The sensitivity of the average Nusselt number to nanoparticle volume fraction follows a non-monotonic trend with the change in Re, φ and EL. Practical implications This study finds relevance in several applications such as solar collectors, heat exchangers and heat sinks. Originality/value To the best of the authors’ knowledge, the analysis of forced convection flow of nanofluid through a wavy channel with linearly varying amplitude is reported for the first time in the literature.

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Section: Resultsmentioning

confidence: 99%

Analysis of forced convective nanofluid flow through a wavy channel with linearly varying amplitude at the entrance

Kumar

Mehta

Pati

et al. 2022

HFF

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“…The study shows the reduction of the operational temperatures of the batteries under different coolant flow rates, meanwhile in a posterior analysis, the previous authors extended a CFD simulation to study the influence of a novel design of an efficient Air-cooling system to improve the performance of lithium-ion batteries. Banerjee et al [12] carried out a study for the heat transfer in microchannels for both electroosmotic and pressure-driven flow where it was considered the interfacial slip and the slip-dependent wall potential, where it was assumed a fully developed hydrodynamic and thermally flow. Also, they obtained analytical expressions for the induced electric potentials inside the electric double layer (EDL).…”

Section: Introductionmentioning

confidence: 99%

Effects of variable slip length over induced electric potentials in microchannels

Sánchez,

Méndez,

Ramos

2024

Eng. Res. Express

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The exploration of new alternatives in renewable energy has embraced several branches: from solar, hydroelectric, and wind energy on the macro scale, up to those more recently such as to harvest power from some electrokinetic phenomenon, for instance, the well-known electric generation by means of the induced streaming potential process. This electric potential is found in micro and nano scales, where the physicochemical properties of surfaces have fundamental importance, such as the slippage effect. Most works oriented to determine induced electric potential in micro and nanochannels assume constant Navier slip length, which quantifies the hydrophobic degree of the surface. This assumption could overestimate the performance of the so-called electrokinetic batteries. For this reason, it is necessary to enlarge the analysis of variable slip over electrokinetics in micro and nanoscale.In the present analysis, we develop an analytical procedure to estimate the electric potentials induced in a microchannel by a flowing laminar solution due to osmotic gradients, whose configuration is better known as an electrokinetic forward osmosis battery. Assuming a non-linear dependence of Navier slip as a function of the pressure, we obtain regular perturbative series solutions for velocity, pressure, and the streaming potential. For this purpose, we use the dimensionless decay parameter ϵ ̃, which measures the decrease of slippage due to the pressure at the wall as the perturbation parameter. We conclude that the velocity field has not only a longitudinal component if not also a transverse component normal to the surfaces as a consequence of the variable slippage, showing that the classical assumption of fully developed flow is no longer possible. In addition, our data shows that constant slip overpredicts the electric potentials up to 5% in comparison with the case of exponential slip. Finally, the results show that induced electric potentials are benefited from variable slippage; however, the influence of the decay parameter that appears in the boundary condition (32) associated with the variable slip decreases the induced potentials.

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“…Researchers have investigated EMHD and its many facets. [10][11][12] Another crucial area is electro-osmotic flow (EOF), 13,14 in which fluids move in bulk as a result of viscous action when free ions travel over solid walls under the effect of an externally supplied electric field. EOF has a wide range of uses in medical science, including the separation of membranes and the elimination of heavy metals from soils.…”

Section: Introductionmentioning

confidence: 99%

Assessment of heat transfer in large parallel plates with a narrow gap maintained at a constant temperature

et al. 2023

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Investigations are conducted on electromagnetohydrodynamic (EMHD) flow and heat transfer in a third‐grade fluid flowing through large parallel plates, which are maintained at constant temperatures. The impact of convective heat transmission is disregarded since the space between the plates is small. The influence of viscous dissipation is considered. Despite being addressed for Newtonian fluids, the conduction problem with the viscous dissipation effect is not examined in third‐grade fluids for EMHD flow and heat transfer behavior. The least‐square method is adopted to solve nondimensional, nonlinear momentum and energy conservation equations to get the dimensionless velocity, temperature distribution, and heat flux. Temperature and heat flux are investigated in relation to the third‐grade fluid parameter, the Hartmann number, the electric field parameter, and the Brinkman number. The findings show a rise in the Brinkman number dramatically increases heat transfer from both walls, necessitating cooling of both plates. The heat flow from both walls increases as the parameters of third‐grade fluid increases.

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Analytical solution to heat transfer for mixed electroosmotic and pressure-driven flow through a microchannel with slip-dependent zeta potential

Cited by 26 publications

References 79 publications

Analysis of forced convective nanofluid flow through a wavy channel with linearly varying amplitude at the entrance

Analysis of forced convective nanofluid flow through a wavy channel with linearly varying amplitude at the entrance

Effects of variable slip length over induced electric potentials in microchannels

Assessment of heat transfer in large parallel plates with a narrow gap maintained at a constant temperature

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