Bateria de VanadioPARÁMETROS

H_cell 0.035[m] Cell height

wCell 0.0285[m] Cell depth

L_e 0.004[m] Electrode thickness

L_m 203e-6[m] Membrane thickness

DV2 2.4e-10[m^2/s] V(2+) diffusion coefficient

DV3 2.4e-10[m^2/s] V(3+) diffusion coefficient

DV4 3.9e-10[m^2/s] VO(2+) diffusion coefficient

DV5 3.9e-10[m^2/s] VO2(+) diffusion coefficient

DH 9.312e-9[m^2/s] H(+) diffusion coefficient

DSO4 1.065e-9[m^2/s] SO4(2-) diffusion coefficient

DHSO4 1.33e-9[m^2/s] HSO4(-) diffusion coefficient

v 30[ml/min]/(wCell*L_e) Inlet velocity

T 293.15[K] Cell temperature

sigma_e 66.7[S/m] Electrode conductivity

epsilon 0.93 Electrode porosity

a 35e4[m^2/m^3] Electrode specific area

E0_pos 1.004[V] Standard potential, positive reaction

k_pos 2.5e-8[m/s] Rate constant, positive reaction

alpha_pos 0.55 Transfer coefficient, positive reaction

E0_neg -0.255[V] Standard potential, negative reaction

k_neg 7e-8[m/s] Rate constant, negative reaction

alpha_neg 0.45 Transfer coefficient, negative reaction

beta 0.25 Dissociation constant

kd 1e4[mol/(m^3*s)] HSO4(-) dissociation rate constant

aHm 1.99 Membrane proton activity

sigma_m 10[S/m] Membrane conductivity

cV2_0 156[mol/m^3] V(2+) initial concentration

cV3_0 884[mol/m^3] V(3+) initial concentration

cV4_0 884[mol/m^3] VO(2+) initial concentration

cV5_0 156[mol/m^3] VO2(+) initial concentration

cH_0_neg 4447.5[mol/m^3] H(+) initial concentration, negative electrode

cH_0_pos 5097.5[mol/m^3] H(+) initial concentration, positive electrode

cHSO4_0_neg 2668.5[mol/m^3] HSO4(-) initial concentration, negative electrode

cHSO4_0_pos 3058.5[mol/m^3] H"O4(-) initial concentration, positive electrode

i_avg -100[mA/cm^2] Average current density

VARIABLES NEGATIVAS

aV3 max(cV3/1[mol/l],eps) V(3+) activity

aV2 max(cV2/1[mol/l],eps) V(2+) activity

aH max(cH_neg/1[mol/l],eps) H(+) activity

aHSO4 max(cHSO4_neg/1[mol/l],eps) HSO4(-) activity

aSO4 max(cSO4_neg/1[mol/l],eps) SO4(2-) activity

Eeq_neg Nernst(E0_neg,T,aV3/aV2) Equilibrium potential

i0_neg F_const*k_neg*aV2^(1-alpha_neg)*aV3^alpha_neg*1[mol/l] Exchange current density

rd kd*((aH-aHSO4)/(aH+aHSO4)-beta) dissociation rate

phil phil_neg Electrolyte potential (for postprocessing)

phis phis_neg Electrode potential (for postprocessing)

POSITIVE VARIABLES

aV4 max(cV4/1[mol/l],eps) VO(2+) activity

aV5 max(cV5/1[mol/l],eps) VO2(+) activity

aH max(cH_pos/1[mol/l],eps) H(+) activity

aHSO4 max(cHSO4_pos/1[mol/l],eps) HSO4(-) activity

aSO4 max(cSO4_pos/1[mol/l],eps) SO4(2-) activity

Eeq_pos Nernst(E0_pos,T,aV5*aH^2/aV4) Equilibrium potential

i0_pos F_const*k_pos*aV4^(1-alpha_pos)*aV5^alpha_pos*1[mol/l] Exchange current density

rd kd*((aH-aHSO4)/(aH+aHSO4)-beta) dissociation rate

phil phil_pos Electrolyte potential (for postprocessing)

phis phis_pos Electrode potential (for postprocessing)