Modeling the effect of non-ideal flow pattern on tertiary current distribution in a filter-press-type electrochemical reactor for copper recovery

Rivero, Eligio P.; Cruz-Díaz, Martín R.; Almazán-Ruiz, Francisco J.; González, Ignacio

doi:10.1016/j.cherd.2015.04.036

Cited by 42 publications

(36 citation statements)

References 34 publications

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“…These values were determined by substituting Equation 11 in Equation 12 (see Figure 3), 37 with N i,w = j ave /z F, where z is the number of electrons transferred in the reaction (z = 1) and F is Faraday constant 96,485 C mol −1 . The simulation time was about 15 minutes.…”

Section: 39mentioning

confidence: 99%

“…To describe the concentration distribution close to the wall, the LaunderSpalding distribution has been adapted to the mass transport problem by means of the analogy with heat transport, giving close agreement between experimental and theoretical mass transport results. 26,37,44 This Launder-Spalding-like model employs the standard wall functions described by Equations 10 and 11 to link the viscosity affected region between the wall and the fully turbulent zone:…”

Section: 39mentioning

confidence: 99%

“…Then, the mass transport coefficients can be assessed using the limiting current density, J L (= I L /A RC E ) according to: 37,42,47 …”

Section: Appendix: Theoretical Assessment Of Mass Transport Correlationmentioning

confidence: 99%

“…Wall functions, based on universal velocity distribution, are typically used to solve this problem, 22,26,[36][37][38][39][40][41][42] avoiding the need for fine grid resolution in nearwall regions. The wall function for the turbulent layer is: 22,26,[36][37][38][39][40][41][42] …”

Section: Formulation Of Numerical Simulationmentioning

confidence: 99%

“…22,26,36 Subsequently, the averaged convectiondiffusion equation was solved to simulate the mass transport and tertiary current distribution. 37 The geometry of the RCE was drawn in the software COMSOL Multiphysics, see …”

Section: Formulation Of Numerical Simulationmentioning

confidence: 99%

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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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Section: 39mentioning

confidence: 99%

Section: 39mentioning

confidence: 99%

“…Then, the mass transport coefficients can be assessed using the limiting current density, J L (= I L /A RC E ) according to: 37,42,47 …”

Section: Appendix: Theoretical Assessment Of Mass Transport Correlationmentioning

confidence: 99%

Section: Formulation Of Numerical Simulationmentioning

confidence: 99%

Section: Formulation Of Numerical Simulationmentioning

confidence: 99%

See 3 more Smart Citations

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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Study of a Filter-Press Electrochemical Reactor for the Treatment of Industrial Waste

Martínez-Vázquez

Ramírez-Ortega

Vargas-Ramírez

2017

The Minerals, Metals &Amp; Materials Series

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Pressure drop analysis on the positive half-cell of a cerium redox flow battery using computational fluid dynamics: Mathematical and modelling aspects of porous media

Rivera

Miranda-Alcántara

Orozco

et al. 2020

Front. Chem. Sci. Eng.

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Description of electrolyte fluid dynamics in the electrode compartments by mathematical models can be a powerful tool in the development of redox flow batteries (RFBs) and other electrochemical reactors. In order to determine their predictive capability, turbulent Reynolds-averaged Navier-Stokes (RANS) and free flow plus porous media (Brinkman) models were applied to compute local fluid velocities taking place in a rectangular channel electrochemical flow cell used as the positive half-cell of a cerium-based RFB for laboratory studies. Two different platinized titanium electrodes were considered, a plate plus a turbulence promoter and an expanded metal mesh. Calculated pressure drop was validated against experimental data obtained with typical cerium electrolytes. It was found that the pressure drop values were better described by the RANS approach, whereas the validity of Brinkman equations was strongly dependent on porosity and permeability values of the porous media.

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Modeling the effect of non-ideal flow pattern on tertiary current distribution in a filter-press-type electrochemical reactor for copper recovery

Cited by 42 publications

References 34 publications

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

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

Study of a Filter-Press Electrochemical Reactor for the Treatment of Industrial Waste

Pressure drop analysis on the positive half-cell of a cerium redox flow battery using computational fluid dynamics: Mathematical and modelling aspects of porous media

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