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ππ£π π π·π4= πΎ = = π·ππππ¦β²π πΏππ€ πΉπππhhπππππ (3.24) 0.55ππ£π2 0.55π£ππβπΎ βπΎ Where DN1, DN2, DN3, DN4 are arbitrary dimensionless numbers. DN1, DN2, and DN3 do not depend on flow rate and are in the order of 10-4~10-6 for the usual RFBs. These orders of magnitude justifies neglecting the Brinkman terms. As Figure 3. 2 demonstrates, DN4 is in the order of 100 at the least, which points out the dominancy of Darcyβs law over Forchheimer term. Therefore, Darcyβs law suffices for describing the pressure gradient in the porous medium: πππ = π π£π (3.25) ππ₯ πΎ 31PDF Image | Analysis of Fluid Flow in Redox Flow Batteries
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