Importance of the density gradient effects in modelling electro deposition process at a rotating cylinder electrode

Mandin, Philippe; Fabian, Cesimiro; Lincot, Daniel

doi:10.1016/j.electacta.2005.11.029

Cited by 37 publications

(22 citation statements)

References 8 publications

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“…Nevertheless, a common practice of submerge the working electrode into the cell liquid was not considered in those works. Mandin et al (Mandin, Fabian, & Lincot, 2006) show the significance of the submerged electrode side wall by means of two-dimensional numerical simulations of an electrochemical cell with a rotating cylinder electrode. Dong et al (Dong, Santhanagopalan, & White, 2008) carried out two-dimensional axisymmetric numerical simulations of a entire electrochemical cell with a RDE, where the electrode is partially submerged into the electrolyte.…”

Section: Two-dimensional Modelsmentioning

confidence: 99%

Hydrodynamic Analysis of Electrochemical Cells

Real-Ramirez¹,

Gonzalez-Trejo²

2011

Computational Simulations and Applications

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Section: Two-dimensional Modelsmentioning

confidence: 99%

Hydrodynamic Analysis of Electrochemical Cells

Real-Ramirez¹,

Gonzalez-Trejo²

2011

Computational Simulations and Applications

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“…Recently, Mandin et al (11)(12)(13)(14) found a diffusion coefficient of cupric ions at 45 o C of 9.16×10 -6 cm 2 /s that yielded an error of about 18 % when the continuity, Navier-Stokes and mass balance equations were solved. Here, the voltammetry data reported below are re-interpreted by solving these equations to infer the diffusion coefficient of cupric ions at 45 o C. The diffusion coefficient at 65 o C was taken from Dutra et al (16) as described previously (11)(12)(13)(14) and in Table I.…”

Section: Diffusion Coefficients Of Cupric Ionsmentioning

confidence: 99%

“…Here, the voltammetry data reported below are re-interpreted by solving these equations to infer the diffusion coefficient of cupric ions at 45 o C. The diffusion coefficient at 65 o C was taken from Dutra et al (16) as described previously (11)(12)(13)(14) and in Table I. Figure 3 shows voltammograms for 45oC and 65oC with the RCE rotating at 10 and 25 rpm.…”

Section: Diffusion Coefficients Of Cupric Ionsmentioning

confidence: 99%

“…The authors' previous publications (11)(12)(13)(14) about the RCE used a literature value of the diffusion coefficient for Cu 2+ ions at 45 °C that showed an 18% discrepancy when used to solve the continuity, Navier-Stokes and mass balance equations. Hence, it was necessary to determine their diffusion coefficients for the particular conditions of electrolyte compositions and temperatures relevant to copper electrowinning and refining (1,7).…”

Section: Diffusion Coefficients Of Cupric Ionsmentioning

confidence: 99%

See 1 more Smart Citation

Hydrodynamic Modeling of Copper Electrodeposition at a Vertical Rotating Cylinder Electrode

Fabian¹,

Mandin²,

Ridd³

et al. 2006

ECS Trans.

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The hydrodynamics of a rotating cylinder electrode were modeled to predict tertiary current distributions during electrodeposition of copper from acidic sulfate media, and to evaluate the effects of the resulting density gradients close to the electrode. Assuming no such density variations, then predictions of transport-limited current densities were in good agreement with Mizushina's empirical law and with Lévêque's theoretical description, but not with measured values. Assuming a linear density variation with copper concentration, predictions of concentration profiles agreed to within 3 % of experimentally measured limiting current densities at the rotating cylinder electrode. For solution compositions relevant to copper electrowinning, a diffusion coefficient for cupric ions of 1.2×10 -9 m 2 /s at 45 o C, was inferred by solving the continuity, Navier-Stokes and mass balance equations with Fluent® computational fluid dynamics software.

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“…Other authors have modeled the tertiary current distributions at RCE solving the diffusion-convection equation during the copper electrodeposition. 29,30 Worth mentioning, existing studies on this RCE have not paid much attention to the particular simulations of mass transport and tertiary current distribution in continuous mode of operation. Also, the morphology of metal deposits on the cathode of a RCE in continuous mode has not yet been reported, thus being difficult to draw conclusions that can be generalized to other heavy metals.…”

mentioning

confidence: 99%

Simulations of Turbulent Flow, Mass Transport, and Tertiary Current Distribution on the Cathode of a Rotating Cylinder Electrode Reactor in Continuous Operation Mode during Silver Deposition

Rosales¹,

Nava²

2017

J. Electrochem. Soc.

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This work presents numerical simulations of turbulent flow, mass transport and tertiary current distribution on the cathode of a rotating cylinder electrode reactor (RCE) in a continuous operation mode. A configuration of a RCE with electrolyte inlet at the bottom and the electrolyte exit at the top was employed. Silver electrodeposition (12.15 mol m −3 (1300 ppm) Ag(I), 883.5 mol m −3 (23000 ppm) CN − , pH 13 and 150 mS cm −1 conductivity) was used as a test system. Bulk electrolysis in the RCE was performed at a constant potential of −1.2 V vs. SCE, which ensured complete mass transport control. A constant volumetric inflow rate of 0.1 L min −1 at the RCE inlet was employed. CFD simulations were obtained solving the RANS equations with the standard k −ε turbulence model. For mass transport simulations, the averaged diffusion-convection equation was solved. For the simulations of tertiary current distribution, wall functions were employed. The tertiary current distribution on the RCE interface along the z-coordinate presented one border effect close to the electrolyte inlet, afterwards, even current distribution was obtained. The border effect is created by the abruptly silver concentration depletion at the electrolyte inlet. Good agreement between mass transport correlation and current distribution simulations with experimental data were attained. The rotating cylinder electrode electrochemical reactor (RCE) is a geometry widely used in the following studies: metal ion recovery, [1][2][3][4][5][6] alloy formation, 1,2 corrosion, 1,2,7 effluent treatment, 5,[8][9][10][11][12][13] and Hull cell studies.14 The RCE is employed for metal ion removal because this cell allows metal removal from 10,000 to 10 ppm, 15 i.e. this reactor has been used to recover cadmium, 9,16 copper, 11,13 nickel, 17 silver, 18 tin, 19 and zinc. 20The RCE generates turbulent convection at Re > 100, where peripheral velocity, u, normally lies in the range 0.6-20 m s −1 . 1 In previous studies carried out by our group the influence of using fourplate, six-plate, and a concentric cylinder as counter electrode on the turbulent flow in batch 21 and continuous 22 operation mode have been deeply discussed. In the former paper, the formation of three turbulent Taylor vortex flow for the four-plate and six-plate arrangements was developed, however, these vortexes did not appear in the concentric arrangement. The presence of the Taylor vortex flow was attributed to the turbulence promoted by the plates. Whereas in continuous mode, for the six plate arrangement, only one turbulent Taylor vortex appeared, owing to the electrolyte inflow and outflow modifying the flow pattern in the RCE.On the other hand, the turbulent mass transport is imposed by the angular rate of the inner cylinder and the applied limiting current density. 2,3,23,24 When the flow pattern is developed entirely in the RCE, the parameters of mass transport can be determined by a dimensionless group correlation of the form: Many papers have showed that mass transport correlation, desc...

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Importance of the density gradient effects in modelling electro deposition process at a rotating cylinder electrode

Cited by 37 publications

References 8 publications

Hydrodynamic Analysis of Electrochemical Cells

Hydrodynamic Analysis of Electrochemical Cells

Hydrodynamic Modeling of Copper Electrodeposition at a Vertical Rotating Cylinder Electrode

Simulations of Turbulent Flow, Mass Transport, and Tertiary Current Distribution on the Cathode of a Rotating Cylinder Electrode Reactor in Continuous Operation Mode during Silver Deposition

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