Fluid flow effects on diffusion layer and current density for electrochemical systems

Behzad Ebadi; Morteza Behbahani-Nejad; Maziar Changizian; Ioan Pop

Korean Journal of Chemical Engineering, Vol.37, No.9, 1453-1465, September, 2020

DOI10.1007/s11814-020-0556-8 Export Citation

Fluid flow effects on diffusion layer and current density for electrochemical systems

Behzad Ebadi^{1, 2}, Morteza Behbahani-Nejad^{1, 2, †}, Maziar Changizian^{1, 2}, and Ioan Pop³

¹Department of Mechanical Engineering, Faculty of Engineering, Shahid Chamran University of Ahvaz, 61357-83151, Ahvaz, Iran
²Gas Networks Research Center, Shahid Chamran University of Ahvaz, 61357-83151, Ahvaz, Iran
³Department of Mathematics, Faculty of Mathematics and Computer Science, Babes-Bolyai University, 400084 Cluj-Napoca, Romania

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The effects of flow field upon the distribution of ionic concentration, electric potential, concentration boundary layer thickness, and electric current density were investigated. A modified numerical scheme is proposed to simulate the corresponding electrochemical system which is governed by nonlinear partial differential equations. Seven types of geometries and various flow fields with Reynolds numbers up to 2100 are considered. The obtained results indicate the current numerical method can successfully simulate the increase of current density on the cathode as the applied potential cell increases, and that rise will continue until the limiting current density is reached. To predict the effect of fluid flow, the proposed scheme is applied for various Peclet numbers. The increase of current density for Peclet numbers between 1 and 104 is quite evident. But for large Peclet numbers between 104 and 107, the current density increases gradually. The results also show that as the anode size is doubled, the maximum current density occurs at the leading and trailing edges. However, if the cathode size is doubled, the maximum current density occurs at the center regions of it. Knowing the regions where current density is extremum helps electochemical system designers to control the parameters of the corresponding process.

Keywords:Non-linear Coupled Manner;Electrochemical Systems;Diffusion Layer;Butler-Volmer;Fluid Flow

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[1] Dukovic J, IBM J. Res. Dev., 34, 693 (1990)

[2] Popov KI, Zivkovic PM, Nikolic N, J. Serb. Chem. Soc., 76, 805 (2011)

[3] Landau U, Modern Aspects of Electrochemistry, 44, 451 (2009).

[4] Georgiadou M, Electrochim. Acta, 48(27), 4089 (2003)

[5] Kawamoto H, J. Appl. Electrochem., 22, 1113 (1992)

[6] Newman J, Thomas-Alyea KE, Electrochemical systems, John Wiley & Sons, Hoboken (2012).

[7] Kontturi K, Murtomaki L, Manzanares JA, Ionic transport processes, Oxford University Press, Oxford (2008).

[8] Kim JH, Kim YS, Kim JG, Ocean Eng., 115, 149 (2016)

[9] Ehrl A, Bauer G, Gravemeier V, Wall WA, J. Comput. Phys., 235, 764 (2013)

[10] Struijs R, Deconinck H, Roe P, in Computational fluid dynamics, von Karman Institute for Fluid Dynamics, Belgium (1991).

[11] Lorenzi S, Pastore T, Bellezze T, Fratesi R, Corrosion Sci., 108, 36 (2016)

[12] Lee J, Selman J, J. Electrochem. Soc., 129, 1670 (1982)

[13] White RE, Bain M, Raible M, J. Electrochem. Soc., 130, 1037 (1983)

[14] Buoni M, Petzold L, J. Comput. Phys., 229, 379 (2010)

[15] Henley IE, Fisher AC, J. Phys. Chem. B, 107(27), 6579 (2003)

[16] Bortels L, Deconinck J, Vandenbossche B, J. Electroanal. Chem., 404(1), 15 (1996)

[17] Georgiadou M, J. Electrochem. Soc., 144(8), 2732 (1997)

[18] Nelissen G, Van Theemsche A, Dan C, Van den Bossche B, Deconinck J, J. Electroanal. Chem., 563(2), 213 (2004)

[19] Volgin V, Davydov A, Russ. J. Electrochem., 37, 1197 (2001)

[20] Bauer G, Gravemeier V, Wall WA, Int. J. Numer. Meth. Eng., 86, 1339 (2011)

[21] Mazumder S, Numerical methods for partial differential equations, Academic Press, London (2015).

[22] Bauer G, A coupled finite element approach for electrochemical systems, Ph.D thesis, Technische Universitat Munchen (2012).

[23] Roache PJ, Computational fluid dynamics, Hermosa Publishers, New Mexico (1972).