Abstract
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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References
Aneke M, Wang M. Energy storage technologies and real-life applications-A state of the art review. Applied Energy, 2016, 179: 350–377
Soloveichik G L. Flow batteries: Current status and trends. Chemical Reviews, 2015, 115(20): 11533–11558
Chalamala B R, Soundappan T, Fisher G R, Anstey M R, Viswanathan V V, Perry M L. Redox flow batteries: An engineering perspective. Proceedings of the IEEE, 2014, 102(6): 976–999
Arenas L F, Ponce de León C, Walsh F C. Engineering aspects of the design, construction and performance of modular redox flow batteries for energy storage. Journal of Energy Storage, 2017, 11: 119–153
Noack J, Roznyatovskaya N, Herr T, Fischer P. The chemistry of redox-flow batteries. Angewandte Chemie International Edition, 2015, 54: 9776–9809
Arenas L F, Ponce de León C, Walsh F C. Electrochemical redox processes involving soluble cerium species. Electrochimica Acta, 2016, 205: 226–247
Walsh F C, Ponce de León C, Berlouis L, Nikiforidis G, Arenas-Martínez L F, Hodgson D, Hall D. The development of Zn-Ce hybrid redox flow batteries for energy storage and their continuing challenges. ChemPlusChem, 2015, 80: 288–311
Arenas L F, Loh A, Trudgeon D P, Li X, Ponce de León C, Walsh F C. The characteristics and performance of hybrid redox flow batteries with zinc negative electrodes for energy storage. Renewable & Sustainable Energy Reviews, 2018, 90: 992–1016
Dewage H M H, Wu B, Tsoi A, Yufit V, Offer G J, Brandon N. A novel regenerative hydrogen cerium fuel cell for energy storage applications. Journal of Materials Chemistry Part A, 2015, 3: 9446–9450
Tucker M C, Weiss A, Weber A Z. Improvement and analysis of the hydrogen-cerium redox flow cell. Journal of Power Sources, 2016, 327: 591–598
Roussel R, Oloman C, Harrison S. Redox mediated in-cell electrosynthesis of p-anisaldehyde. Journal of the Electrochemical Society, 2016, 163(14): E414–E420
Leung P K, Ponce de León C, Low C T J, Shah A A, Walsh F C. Characterization of a zinc-cerium flow battery. Journal of Power Sources, 2011, 196(11): 5174–5185
Na Z, Sun X, Wang L. Surface-functionalized graphite felts: Enhanced performance in cerium-based redox flow batteries. Carbon, 2018, 138: 363–368
Na Z, Wang X, Yin D, Wang L. Graphite felts modified by vertical two-dimensional WO3 nanowall arrays: High-performance electrode materials for cerium-based redox flow batteries. Nanoscale, 2018, 10: 10705–10712
Arenas L F, Ponce de León C, Walsh F C. Mass transport and active area of porous Pt/Ti electrodes for the Zn-Ce redox flow battery determined from limiting current measurements. Electrochimica Acta, 2016, 221: 154–166
Arenas L F, Ponce de León C, Walsh F C. Pressure drop through platinized titanium porous electrodes for cerium-based redox flow batteries. AIChE Journal. American Institute of Chemical Engineers, 2018, 64(3): 1135–1146
Arenas L F, Ponce de León C, Boardman R P, Walsh F C. Characterization of platinum electrodeposits on a titanium micromesh stack in a rectangular channel flow cell. Electrochimica Acta, 2017, 247: 994–1005
Frías-Ferrer A, Tudela I, Louisnard O, Sáez V, Esclapez M D, Díez-García M I, Bonete P, González-García J. Optimized design of an electrochemical filter-press reactor using CFD methods. Chemical Engineering Journal, 2011, 69(1–3): 270–281
Colli A N, Bisang J M. Time-dependent mass-transfer behaviour under laminar and turbulent flow conditions in rotating electrodes: A CFD study with analytical and experimental validation. International Journal of Heat and Mass Transfer, 2019, 137: 835–846
Korbahti B K. Finite element modeling of continuous flow tubular electrochemical reactor for industrial and domestic wastewater treatment. Journal of the Electrochemical Society, 2014, 161(8): E3225–E3234
Rodríguez A, Rivera F F, Orozco G, Carreño G, Castañeda F. Analysis of inlet and gap effect in hydrodynamics and mass transport performance of a multipurpose electrochemical reactor: CFD simulation and experimental validation. Electrochimica Acta, 2018, 282: 520–532
Cervantes-Alcalá R, Miranda-Hernández M. Flow distribution and mass transport analysis in cell geometries for redox flow batteries through computational fluid dynamics. Journal of Applied Electrochemistry, 2018, 48(11): 1243–1254
Bernard P S, Wallace J M. Turbulent Flow: Analysis, Measurement and Prediction. Hoboken: John Wiley and Sons, 2002, 304–353
Nield D A, Bejan A. Convection in Porous Media. 2nd ed. New York: Springer, 1999, 1–22
Nikiforidis G, Yan X, Daoud W A. Electrochemical behavior of carbon paper on cerium methanesulfonate electrolytes for zinc-cerium flow battery. Electrochimica Acta, 2015, 157: 274–281
Karabelas A J, Kostoglou M, Koutsou C P. Modeling of spiral wound membrane desalination modules and plants-review and research priorities. Desalination, 2015, 356: 165–186
Ahmed S, Seraji M T, Jahedi J, Hashib M A. CFD simulation of turbulence promoters in a tubular membrane channel. Desalination, 2011, 276: 191–198
Versteeg H K, Malalasekera W. An Introduction to Computational Fluid Dynamics: The Finite Volume Method. London: Prentice Hall, 1995, 72–80
Wilcox D C. Turbulence Modelling for CFD. 3rd ed. California: DCW Industries, 2006, 128–131
Rivero E P, Cruz-Díaz M R, Almazán-Ruiz F J, González I. Modeling the effect of non-ideal flow pattern on tertiary current distribution in a filter-press-type electrochemical reactor for copper recovery. Chemical Engineering Research & Design, 2015, 100: 422–433
Rodríguez G, Sierra-Espinosa F Z, Teloxa J, Álvarez A, Hernández J A. Hydrodynamic design of electrochemical reactors based on computational fluid dynamics. Desalination and Water Treatment, 2016, 57(48–49): 22968–22979
Nassehi V, Hanspal N S, Waghode A N, Ruziwa W R, Wakeman R J. Finite-element modelling of combined free/porous flow regimes: Simulation of flow through pleated cartridge filters. Chemical Engineering Science, 2005, 60: 995–1006
Parvazinia M, Nassehi V, Wakeman R J, Ghoreishy M H R. Finite element modelling of flow through a porous medium between two parallel plates using the Brinkman equation. Transport in Porous Media, 2006, 63: 71–90
Beavers G S, Joseph D D. Boundary conditions at a naturally permeable wall. Journal of Fluid Mechanics, 1967, 30: 197–207
Rivera F F, Castañeda L, Hidalgo P E, Orozco G. Study of hydrodynamics at Asahi™ prototype electrochemical flow reactor, using computational fluid dynamics and experimental characterization techniques. Electrochimica Acta, 2017, 245: 107–117
Su J, Lu H Y, Xu H, Sun J R, Ha J L, Lin H B. Mass transfer enhancement for mesh electrode in a tubular electrochemical reactor using experimental and numerical simulation method. Russian Journal of Electrochemistry, 2011, 47(11): 1293–1298
Zeng Y, Li F, Lu F, Zhou X, Yuan Y, Cao X, Xiang B. A hierarchical interdigitated flow field design for scale-up of high performance redox flow batteries. Applied Energy, 2019, 238: 435–441
Boomsma K, Poulikakos D. The effects of compression and pore size variations on the liquid flow characteristics in metal foams. Journal of Fluids Engineering, 2002, 124(1): 263–272
Bromberger K, Kaunert J, Smolinka T. A model for all vanadium redox flow batteries: Introducing electrode-compression effects on voltage losses and hydraulics. Energy Technology, 2014, 2: 64–76
Li L, Nikiforidis G, Leung M K H, Daoud W A. Vanadium microfluidic fuel cell with novel multi-layer flow-through porous electrodes: Model, simulations and experiments. Applied Energy, 2016, 177: 729–739
Acknowledgements
BMA is grateful to CONACYT for MSc scholarship No. 468574 and for funding an academic visit to the University of Southampton. LFA thanks professor Andrew Cruden, head of the Energy Technology Research Group of the University of Southampton, for granting additional support to present this work at ModVal 2019 in Braunschweig, Germany.
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Rivera, F.F., Miranda-Alcántara, B., Orozco, G. et al. 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. Front. Chem. Sci. Eng. 15, 399–409 (2021). https://doi.org/10.1007/s11705-020-1934-9
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DOI: https://doi.org/10.1007/s11705-020-1934-9