
A Simplified Analytical Method for Assessing Fluid Mixing Homogeneity in Flow Battery Storage Tanks
DOI:
https://doi.org/10.30564/jees.v8i8.13363Abstract
The electrolyte storage tank, as a key component in the vanadium redox flow battery (VRFB) system, directly influences the battery’s operational performance and the accuracy of state-of-charge (SOC) estimation through the mixing homogeneity of the internal electrolyte. To address the challenge in engineering applications of rapidly evaluating mixing processes in storage tanks, this paper proposes a simplified analytical method for assessing fluid mixing homogeneity in VRFB tanks. The proposed method is a computational fluid dynamics (CFD)-based methodology that combines an internal flow-field simulation with monitoring of outlet parameters. It provides a qualitative and semi-quantitative analysis of the tank’s overall mixing performance by comparing the simulated inlet electrolyte scalar concentration curve with the theoretical response curve under ideal, complete-mixing conditions. The research focuses on a multi-inlet conical-bottom self-mixing tank, and a traditional cylindrical flat-bottom tank was used for comparison, with their internal flow fields and mixing mechanisms analyzed using simulation software. The simulation results suggest that the flow streamlines within the conical-bottom self-mixing tank are more uniformly distributed, and its outlet response curve more closely matches the theoretical complete-mixing curve, indicating superior mixing homogeneity compared with the conventional structure. The simulation results were further confirmed by experiments using scaled-down physical models, and the experimentally measured characteristics of the conductivity distributions were in good agreement with the numerical inferences. The paper demonstrates that the suggested approach has the following strengths: simplified modelling, low computational cost, intuitive criteria, and utility as a guide for structural design optimisation of VRFB tanks and for system-level modelling.
Keywords:
Vanadium Redox Flow Battery; Storage Tank; Mixing Homogeneity; Computational Fluid Dynamics; Outlet MonitoringReferences
[1] Barzigar, A., Ebadati, E., Mujumdar, A.S., et al., 2025. A comprehensive review of vanadium redox flow batteries: Principles, benefits, and applications. Next Research. 2(4), 100767. DOI: https://doi.org/10.1016/j.nexres.2025.100767
[2] Godiwala, S., Wei, L., Bao, J., et al., 2025. Economic model predictive control of vanadium redox flow batteries for power arbitrage. Journal of Energy Storage. 137, 118567. DOI: https://doi.org/10.1016/j.est.2025.118567
[3] Hassan, F.M., Theeb, M.A., 2020. Effect of diffuser height on thermocline in stratified chilled water storage tank. Journal of Applied Fluid Mechanics. 14(2), 429–438.
[4] Hsiao, Y.-S., Huang, J.-H., Lin, H.-Y., et al., 2025. Recovery of V₂O₅ from spent catalysts and its application in vanadium electrolytes for vanadium redox flow batteries. Journal of Energy Storage. 116, 115990. DOI: https://doi.org/10.1016/j.est.2025.115990
[5] Prieto-Díaz, P.A., Trovò, A., Marini, G., et al., 2024. Experiment-supported survey of inefficient electrolyte mixing and capacity loss in vanadium flow battery tanks. Chemical Engineering Journal. 492, 152137. DOI: https://doi.org/10.1016/j.cej.2024.152137
[6] Prieto-Díaz, P.A., Maurice, A.A., Vera, M., 2025. Electrolyte mixing in vanadium flow battery tanks: Effects on capacity utilization. Chemical Engineering Journal. 525, 170162. DOI: https://doi.org/10.1016/j.cej.2025.170162
[7] Prieto-Díaz, P.A., Ibáñez, S.E., Vera, M., 2023. Fluid dynamics of mixing in the tanks of small vanadium redox flow batteries: Insights from order-of-magnitude estimates and transient two-dimensional simulations. International Journal of Heat and Mass Transfer. 216, 124567. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2023.124567
[8] Li, Y., Sun, L., Cao, L., et al., 2021. Dynamic model based membrane permeability estimation for online SOC imbalances monitoring of vanadium redox flow batteries. Journal of Energy Storage. 39, 102688. DOI: https://doi.org/10.1016/j.est.2021.102688
[9] Aparicio-Mauricio, G., Rodríguez, F.A., Pijpers, J.J.H., et al., 2020. CFD modeling of residence time distribution and experimental validation in a redox flow battery using free and porous flow. Journal of Energy Storage. 29, 101337. DOI: https://doi.org/10.1016/j.est.2020.101337
[10] Trovò, A., Prieto-Díaz, P.A., Zatta, N., et al., 2024. Early investigations on electrolyte mixing issues in large flow battery tanks. Batteries. 10(4), 133. DOI: https://doi.org/10.3390/batteries10040133
[11] Huang, Z., Mu, A., Wu, L., et al., 2022. Comprehensive analysis of critical issues in all-vanadium redox flow battery. ACS Sustainable Chemistry & Engineering. 10(24), 7786–7810.
[12] Huang, Z., Mu, A., 2021. Numerical research on a novel flow field design for vanadium redox flow batteries in microgrid. International Journal of Energy Research. 45(10), 14579–14591. DOI: https://doi.org/10.1002/er.6710
[13] Hasyim, M.R., Ma, D., Rajagopalan, R., et al., 2017. Prediction of charge-discharge and impedance characteristics of electric double-layer capacitors using porous electrode theory. Journal of the Electrochemical Society. 164(13), A2899–A2913. DOI: https://doi.org/10.1149/2.0051713jes
[14] Suo, L., Ren, J., Zhao, Z., et al., 2020. Study on the nonlinear dynamics of continuous stirred tank reactors. Processes. 8(11), 1436. DOI: https://doi.org/10.3390/pr8111436
[15] Ochoa-Tapia, J.A., Hernandez-Rodriguez, R., Alvarez-Ramirez, J., 2025. Effect of the residence time distribution on the dynamical behavior of isothermal continuous stirred tank reactors: A nonlocal modeling approach. Industrial & Engineering Chemistry Research. 64(12), 6433–6444.
[16] Crowther, J., Dandy, G., 2012. Model comparisons for tracer experiments at a clear water storage tank. Australasian Journal of Water Resources. 15(2), 145–156.
[17] Angeloudis, A., 2014. Numerical and experimental modelling of flow and kinetic processes in serpentine disinfection tanks [PhD Thesis]. Cardiff University: Cardiff, UK.
[18] Poonoosamy, J., Kosakowski, G., Van Loon, L.R., et al., 2015. Dissolution–precipitation processes in tank experiments for testing numerical models for reactive transport calculations: Experiments and modelling. Journal of Contaminant Hydrology. 177–178, 1–17. DOI: https://doi.org/10.1016/j.jconhyd.2015.02.007
[19] Tafarojnoruz, A., Loprieno, P., Fiorini Morosini, A., et al., 2025. CFD-based hydraulic performance improvement of a chlorine contact tank: The case study of a southern Italy plant. Fluids. 10(12), 328. DOI: https://doi.org/10.3390/fluids10120328
[20] Minke, C., Kunz, U., Turek, T., 2017. Techno-economic assessment of novel vanadium redox flow batteries with large-area cells. Journal of Power Sources. 361, 105–114. DOI: https://doi.org/10.1016/j.jpowsour.2017.06.066
[21] Liu, Y., Jiang, W., Zeng, Q., et al., 2025. Adaptive estimation of SOC and capacity of iron-chromium redox flow battery based on improved parameter identification and unscented Kalman filtering. Journal of Energy Storage. 120, 116482. DOI: https://doi.org/10.1016/j.est.2025.116482
[22] You, Y., Ji, X., Liu, Q., et al., 2025. Enhanced SOC estimation for lithium-ion batteries via ultrasonic paths fusion and spatio-temporal neural network. Journal of Energy Storage. 135, 118295. DOI: https://doi.org/10.1016/j.est.2025.118295
[23] Schofield, K., Musilek, P., 2022. Charge and Capacity Tracking in Vanadium Redox Flow Battery Systems. Clean Technologies. 4(3), 607–618. DOI: https://doi.org/10.3390/cleantechnol4030037
[24] Gundlapalli, R., Jayanti, S., 2021. Case studies of operational failures of vanadium redox flow battery stacks, diagnoses and remedial actions. Journal of Energy Storage. 33, 102078. DOI: https://doi.org/10.1016/j.est.2020.102078
[25] Díaz, P.Á.P., 2024. On the role of the electrolyte mixing inside the tanks of vanadium redox flow batteries [PhD Thesis]. Universidad Carlos III de Madrid: Madrid, Spain.
[26] Saha, S., Mamun, M.A.H., Hossain, M.Z., et al., 2008. Mixed convection in an enclosure with different inlet and exit configurations. Journal of Applied Fluid Mechanics. 1(1), 78–93.
[27] Ren, Y., Lv, B., Ran, Z., 2025. Application of computational fluid dynamics—Optimized biomimetic microchannel liquid-cooled plates in battery thermal management systems. Journal of Applied Fluid Mechanics. 19(2), 61–75. DOI: https://doi.org/10.47176/jafm.19.2.3810
[28] Krowne, C.M., 2024. Physics, electrochemistry, chemistry, and electronics of the vanadium redox flow battery by analyzing all the governing equations. Physical Chemistry Chemical Physics. 26(4), 2823–2862. DOI: https://doi.org/10.1039/D3CP04223E
[29] Bird, R.B., Stewart, W.E., Lightfoot, E.N., 2002. Transport Phenomena, 2nd ed. Wiley: New York, NY, USA.
[30] Cussler, E.L., 2009. Diffusion: Mass Transfer in Fluid Systems, 3rd ed. Cambridge University Press: Cambridge, UK. DOI: https://doi.org/10.1017/CBO9780511805134
[31] Rafefi, A.R., 2020. Development of thin film electrical resistance sensors for in situ monitoring of top of the line corrosion [PhD Thesis]. The University of Manchester: Manchester, UK.
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Copyright © 2026 Dabin Mi, Qiang Guo, Jiang Wei, Lihui Sui, Yaze Wang, Tianhao Wang

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