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Table 4.1: Summary of the governing equations and boundary conditions. For a defi- nition of symbols, refer to the above text or Tab. (A.1) in the appendix. Transport in the liquid electrolyte Speciesconservation Species fluxes Electroneutrality and charge conservation Electrochemistry Rate equations Arrhenius rate law Calculation of the reverse rate Cell voltage and current Faradaic current source term Double-layer current source term Total current density Cell voltage Multi-phase management Continuity equation for bulk phases Feedback on diffusion coefficients Feedback on specific surface areas ∂c′n =−∂Jn,tot +s ̇n (4.1) (4.3) (4.5) (4.6) (4.9) (4.11) (4.14) (4.16) (4.15) (4.18) (4.20) (4.4) (4.22) ∂t J ∂y = −D ∂cn − znF ·c D ∂φelyt ∂y n,q n,q fwd ∏ νn′,q νn′′,q s ̇ =ν k an′ −krev∏an′′ n,tot n,eff ∂y RT n n,eff V ∂Jn,tot 0=∑znFAms ̇n,m−∑znF ∂y n,m n kfwd = k0, fwd exp − 2RT ∆φ ∆G krev = kfwd exp RT iFV = ∑m FAVms ̇electron,m n′ ∈q zF n′′ ∈q iV =AVC ∂(∆φ) dl mdl,m∂t ˆ LCA|AN V V iF+idl dy E = φCA, elde − φAN, elde − ρ⋆itot ∂ρpεp ∂t =Mp· ∑s ̇n,mAVm m,n∈p D =D·ε /τ2 itot= y=0 (4.19), 84 n, eff n elyte elyte AVm = AVm εp, mechanism-dependentPDF Image | Lithium-Sulfur Battery: Design, Characterization, and Physically-based Modeling
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