Model Based Analysis of Forced and Natural Convection Effects in an Electrochemical Cell

Authors

  • D Brunner
  • M Boldrini
  • G Boiger

DOI:

https://doi.org/10.21152/1750-9548.11.1.97

Abstract

High purity copper, suitable for electrical applications, can only be obtained by electro-winning. The hallmark of this process is its self-induced natural convection through density variations of the electrolyte at both anode and cathode. In order to do this, first the full dynamic complexity of the process needs to be understood. Thus an OpenFoam®-based 2D model of the process has been created. This finite-volume multiphysics approach solves the laminar momentum and copper-ion species conservation equations, as well as local copper-ion conversion kinetics. It uses a Boussinesq approximation to simulate the species-momentum coupling, namely natural draft forces induced by variations of the spatial copper concentration within the fluid. The model shows good agreement with benchmark-cases of real-life electrochemical cells found in literature. An additional flow was imposed at the bottom of a small scale electrochemical cell in order to increase the ionic transport and thereby increase the overall performance of the cell. In a small scale electrochemical cell in strictly laminar flow, the overall performance could be increased and stratification decreased.

References

C. Wagner, J. Electrochem. Soc. 95 (1949) 161

J.R. Selman, J. Newman, J. Electrochem. Soc., 118 (1971), p. 1070

Y. Awakura, Y. Takenaka, Y. Kondo Electrochim. Acta, 21 (1976), p. 789

Y. Awakura, Y. Kondo, J. Electrochem. Soc., 123 (1976), p. 1184

Y. Fukunaka, K. Denpo, M. Iwata, K. Maruoka, Y. Kondo, J. Electrochem. Soc., 130 (1983), p. 2492

K. Denpo, T. Okumura, Y. Fukunaka, Y. Kondo, J. Electrochem. Soc., 132 (1985), p. 1145

K. Asada, F. Hine, S. Yoshizawa, S. Okada, J. Electrochem. Soc., 107 (1960), p. 242

J.R. Lloyd, E.M. Sparrow, E.R.G. Eckert, J. Electrochem. Soc., 119 (1972), p. 702

Y. Awakura, A. Ebata, Y. Kondo, J. Electrochem. Soc., 126 (1979), p. 23

I.M. Sakr, W.A.El-Askary, A. Balabel, K.Ibrahim, Numerical Study on Natural and Forced Convection in Electrochemical Cells, CFD Letters, 2013

I.M. Sakr, W.A.El-Askary, A. Balabel, K.Ibrahim, Computation of Forced Convection in Electrochemical Cells Installed in a Suden Expansion, CFD Letters, 2013

S. Kawai, Y. Fukunaka, S. Kida, Numerical simulation of transient natural convection induced by electrochemical reactions confined between vertical plane Cu electrodes, Electrochimica Acta 52 (2007). https://doi.org/10.1016/j.electacta.2007.06.011

S. Kawai, Y. Fukunaka, S. Kida, Numerical simulation of ionic mass-transfer rates with natural convection in CuSO4-H2SO4 solution, I. Numerical study on the developments of secondary flow and electrolyte stratification phenomena, J. Electrochem. Soc. 156 (2009) 99-108. https://doi.org/10.1149/1.3158827

S. Kawai, Y. Fukunaka, S. Kida, Numerical simulation of ionic mass-transfer rates with natural convection in CuSO4-H2SO4 solution, II. Comparison between numerical calculations and optical measurements. J. Electrochem. Soc. 156 (2009) 109-114. https://doi.org/10.1149/1.3158827

S. Kawai, Y. Fukunaka, S. Kida, Numerical simulation of ionic mass-transfer rates with natural convection in CuSO4-H2SO4 solution, II. Comparison between numerical calculations and optical measurements. J. Electrochem. Soc. 157 (2010) 40-48. https://doi.org/10.1149/1.3267872

S. Kawai, Y. Fukunaka, S. Kida, Numerical Calculation of Transient Current Density Distribution along Vertical Plane Electrode in CuSO4-H2SO4 Electrolyte Solution. J. Electrochem. Soc. (2010). https://doi.org/10.1149/1.3275722

Andreas Ehrl, Georg Bauer, Volkner Gravemaier, Wolfgang A. Wall, A computational approach fort he simulation of natural convection in electrochemical cells, Journal of Computational Physics, Volume 235, February 2013, Pages 764-785. https://doi.org/10.1016/j.jcp.2012.08.043

G. Nelissen, A. VanTheemsche, C. Dan, B. Van den Bossche, J. Deconinck, Multi-ion transport and reaction simulation in turbulent parallel plat flow, Journal of Electroanalytical Chemistry 563 (2004) 213-220. https://doi.org/10.1016/j.jelechem.2003.09.012

K.R. Kim; S.Y. Choi; S. Paek; J.Y. Park; I.S. Hwang; Y.Jung, Electrochemical Hydrodynamics Modeling Approach for a Copper Electrowinning Cell, International Journal of Electrochemical Science;Nov2013, Vol. 8 Issue 11, p12333.

A. Pohjoranta, A. Mendelson, R. Tenno, A copper electrolysis cell model including effects of the ohmic potential loss in the cell, Electrochimica Acta, Volume 55, Issue 3, 1 January 2010, Pages 1001-1012, ISSN 0013-4686. https://doi.org/10.1016/j.electacta.2009.09.073

S. Kawai, T. Miyazawa, CFD modelling and simulation of industrial-scale copper electrorefining process, Minerals Engineering, Volume 63, August 2014, Pages 81-90, ISSN 0892-6875. https://doi.org/10.1016/j.mineng.2014.01.007

Kemminger, A (2013). Modelling the Electrolyte Flow in a Full-Scale Copper Electrorefining Tankhouse Cell. In Proceedings of European Metallurgical Conference EMC 2013 Volume 2. (S. 795-806)

E. Mattsson and J. O’M. Bockris, Trans. Faraday Soc., 55 1586 (1959)

Published

2017-03-31

How to Cite

Brunner, D., Boldrini, M., & Boiger, G. (2017). Model Based Analysis of Forced and Natural Convection Effects in an Electrochemical Cell. The International Journal of Multiphysics, 11(1), 97-112. https://doi.org/10.21152/1750-9548.11.1.97

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