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In this work, a two-dimensional mathematical model is developed to study theflow patterns and volumetric flow penetrations in the flow channel over theporous electrode layered system in vanadium flow battery with serpentine flowfield design. The flow distributions at the interface between the flow channeland porous electrode are examined. It is found that the non-linear pressuredistributions can distinguish the interface flow distributions under the idealplug flow and ideal parabolic flow inlet boundary conditions. However, thevolumetric flow penetration within the porous electrode beneath the flowchannel through the integration of interface flow velocity reveals that thisvalue is identical under both ideal plug flow and ideal parabolic flow inletboundary conditions. The volumetric flow penetrations under the advectioneffects of flow channel and landing/rib are estimated. The maximum currentdensity achieved in the flow battery can be predicted based on the 100% amountof electrolyte flow reactant consumption through the porous electrode beneathboth flow channel and landing channel. The corresponding theoretical maximumcurrent densities achieved in vanadium flow battery with one and three layersof SGL 10AA carbon paper electrode have reasonable agreement with experimentalresults under a proper permeability.

Mathematical Modeling of Electrolyte Flow Dynamic Patterns and  Volumetric Flow Penetrations in the Flow Channel over Porous Electrode  Layered System in Vanadium Flow Battery with Serpentine Flow Field Design