Study of magnetohydrodynamic driven flow through LTCC channel with self-contained electrodes

Aguilar, Zoraida P.; Arumugam, Prabhu U.; Fritsch, Ingrid

doi:10.1016/j.jelechem.2006.04.019

Cited by 38 publications

(42 citation statements)

References 28 publications

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“…Here we present the results of our numerical computations and compare them with the experimental data obtained by Aguilar et al 25 Figure 2 depicts the steady-state current transmitted through the electrolyte solution as a function of the externally applied potential difference ⌬V across the electrodes in the absence ͑B =0͒ and presence ͑B = 0.44 T͒ of a magnetic field when the inlet bulk concentrations of K 4 ͓͑Fe͑CN͒ 6 ͔ and K 3 ͓͑Fe͑CN͒ 6 ͔ are C 0 = 0.25 M. In other words, the effects of the magnetic field on the resulting current are studied for two different magnetic flux densities, one at B = 0 and the other at B = 0.44 T under different potential differences. The circles ͑b͒ and triangles ͑᭡͒ represent, respectively, the experimental data obtained from Aguilar et al 25 for B = 0 and B = 0.44 T. The dash-dotted and solid lines in Fig. 2 represent, respectively, the currents obtained from the 3D model at B = 0 and B = 0.44 T. The dashed and dotted lines represent, respectively, the predicted currents from the 2D model at B = 0 and B = 0.44 T with the assumption of H ӷ W. The current nonlinearly increases with the applied potential difference, and the theoretical predictions of the 3D model qualitatively agree with the experimental data.…”

Section: Resultsmentioning

confidence: 69%

“…The electrodes cover the entire side walls of the microchannel ͑i.e., L 1 = 0, and L E = L. The RedOx electrolyte solution is a mixture of K 4 ͓Fe͑CN͒ 6 ͔ and K 3 ͓Fe͑CN͒ 6 ͔ in the absence of a supporting electrolyte. The simulation conditions are the same as those used in the experiments conducted by Aguilar et al 25 The electrolyte solution contains three ionic species K + , Fe͑CN͒ 6 3− , and Fe͑CN͒ 6 4− with charges z 1 =1, z 2 = −3, and z 3 = −4, respectively. The diffusion coefficients at room temperature of the species K + , Fe͑CN͒ 6 3− , and Fe͑CN͒ 6 4− are, respectively, 1.957ϫ 10 −9 m 2 / s, 0.896ϫ 10 −9 m 2 / s, and 0.735 ϫ 10 −9 m 2 /s.…”

Section: Resultsmentioning

confidence: 99%

“…The introduction of RedOx species into the liquid is a potential solution to the problems associated with the DC MHD microfluidics. [20][21][22][23][24][25][26] RedOx-based DC MHD has several benefits. For example, the electric potential applied across the electrodes can be very low ͑several mV to ϳ1 V͒, which eliminates the bubble generation problem.…”

Section: Introductionmentioning

confidence: 99%

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Modeling RedOx-based magnetohydrodynamics in three-dimensional microfluidic channels

et al. 2007

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RedOx-based magnetohydrodynamic ͑MHD͒ flows in three-dimensional microfluidic channels are investigated theoretically with a coupled mathematical model consisting of the Nernst-Planck equations for the concentrations of ionic species, the local electroneutrality condition for the electric potential, and the Navier-Stokes equations for the flow field. A potential difference is externally applied across two planar electrodes positioned along the opposing walls of a microchannel that is filled with a dilute RedOx electrolyte solution, and a Faradaic current transmitted through the solution results. The entire device is positioned under a magnetic field which can be provided by either a permanent magnet or an electromagnet. The interaction between the current density and the magnetic field induces Lorentz forces, which can be used to pump and/or stir fluids for microfluidic applications. The induced currents and flow rates in three-dimensional ͑3D͒ planar channels obtained from the full 3D model are compared with the experimental data obtained from the literature and those obtained from our previous two-dimensional mathematical model. A closed form approximation for the average velocity ͑flow rate͒ in 3D planar microchannels is derived and validated by comparing its predictions with the results obtained from the full 3D model and the experimental data obtained from the literature. The closed form approximation can be used to optimize the dimensions of the channel and to determine the magnitudes and polarities of the prescribed currents in MHD networks so as to achieve the desired flow patterns and flow rates.

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Section: Resultsmentioning

confidence: 69%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modeling RedOx-based magnetohydrodynamics in three-dimensional microfluidic channels

et al. 2007

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“…When the device is subjected to an external magnetic field provided by either permanent magnets or electromagnets, the electric current interacts with the magnetic field to produce Lorentz body forces, which, in turn, drive fluid motion. This phenomenon is commonly referred to as magneto-hydrodynamics and has been utilized, among other things, to pump fluids in microfluidic conduits (Qian and Bau 2005; Jang and Lee 2000; Lemoff and Lee 2000; Leventis and Gao 2001;West et al 2002 and2003;Zhong et al 2002;Eijkel et al 2003;Harrison 2003a and2003b;Arumugam et al 2005 and2006;Aguilar et al 2006;Nguyen and Kassegne 2008), control fluid flow in microfluidic networks without a need for mechanical pumps and valves (Bau et al 2003); stir and mix fluids (Bau et al 2001;Yi et al 2002;Xiang and Bau 2003;Qian and Bau 2005;Gleeson and West 2002;West et al 2003;Gleeson et al 2004); and enhance mass transfer next to electrodes' surfaces (Boum and Alemany 1999;Lioubashevski et al 2004;Alemany and Chopart 2007). For a recent review of a few applications of MHD in microfluidics, see Qian and Bau (2009)…”

Section: Introductionmentioning

confidence: 99%

When MHD-based microfluidics is equivalent to pressure-driven flow

Qin

Bau

2010

Microfluid Nanofluid

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Magnetohydrodynamics (MHD) provides a convenient, programmable means for propelling liquids and controlling fluid flow in microfluidic devices without a need for mechanical pumps and valves. When the magnetic field is uniform and the electric field in the electrolyte solution is confined to a plane that is perpendicular to the direction of the magnetic field, the Lorentz body force is irrotational and one can define a "Lorentz" potential. Since the MHD-induced flow field under these circumstances is identical to that of pressure-driven flow, one can utilize the large available body of knowledge about pressure-driven flows to predict MHD flows and infer MHD flow patterns. In this note, we prove the equivalence between MHD flows and pressure-driven flows under certain conditions other than flow in straight conduits with rectangular crosssections. We determine the velocity profile and the efficiency of MHD pumps, accounting for current transport in the electrolyte solutions. Then, we demonstrate how data available for pressure driven flow can be utilized to study various MHD flows, in particular, in a conduit patterned with pillars such as may be useful for liquid chromatography and chemical reactors. Additionally, we examine the effect of interior obstacles on the electric current flow in the conduit and show the existence of a particular pillar geometry that maximizes the current. solution is confined to a plane that is perpendicular to the direction of the magnetic field, the Lorentz body force is irrotational and one can define a "Lorentz" potential. Since the MHDinduced flow field under these circumstances is identical to that of pressure-driven flow, one can utilize the large available body of knowledge about pressure-driven flows to predict MHD flows and infer MHD flow patterns. In this note, we prove the equivalence between MHD flows and pressure-driven flows under certain conditions other than flow in straight conduits with rectangular cross-sections. We determine the velocity profile and the efficiency of MHD pumps, accounting for current transport in the electrolyte solutions. Then, we demonstrate how data available for pressure driven flow can be utilized to study various MHD flows, in particular, in a conduit patterned with pillars such as may be useful for liquid chromatography and chemical reactors. Additionally, we examine the effect of interior obstacles on the electric current flow in the conduit and show the existence of a particular pillar geometry that maximizes the current.

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“…Pretreatment stages [1][2][3], different types of detection systems [4][5][6][7], actuators or measurement and data acquisition systems [8,9] can be easily integrated in a substrate through the fabrication of three-dimensional geometries by means of a multilayer approach. The technique was firstly conceived to develop compact and miniaturized electronic devices because of the symbiotic assembling of fluidics and electronics [10,11].…”

Section: Introductionmentioning

confidence: 99%

Biparametric Potentiometric Analytical Microsystem Based on the Green Tape Technology

et al. 2010

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The construction and evaluation of a Low Temperature Co-fired Ceramics (LTCC)-based microsystem prototype as a possible on-site microanalyzer to monitor the presence of two ions in water simultaneously is presented. The approach has been assayed to detect nitrate and chloride ions as model analytes by means of integrating in the same single substrate an ion selective polymeric membrane to nitrate and two screen-printed Ag/AgCl electrodes. One supplies the chloride ion concentration and the other is to complete the potentiometric detection system as the reference electrode. The results obtained by the full characterization of the microanalyzer prove the relevance of the proposal and the possibility to be transferred to real-world samples and environmental monitoring.

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Study of magnetohydrodynamic driven flow through LTCC channel with self-contained electrodes

Cited by 38 publications

References 28 publications

Modeling RedOx-based magnetohydrodynamics in three-dimensional microfluidic channels

Modeling RedOx-based magnetohydrodynamics in three-dimensional microfluidic channels

When MHD-based microfluidics is equivalent to pressure-driven flow

Biparametric Potentiometric Analytical Microsystem Based on the Green Tape Technology

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