Parameter Description
F Faraday’s constant (96485.4 C mol-1)
R Gas constant (8.3144 J mol-1 K-1)
T Temperature (K)
km Electrical conductivity of membrane (Ohm-1 m-1)
dm Thickness of membrane (m)
kaq Electrical conductivity of aqueous solution (Ohm-1 m-1)
dcell Distance between anode and cathode in the cell (m)
Ca Capacitance of anode (F m-2)
Cc Capacitance of cathode (F m-2)
Va Volume of anode (m3)
Vc Volume of cathode compartment (m3)
Am Area of membrane (m2)
YAW Bacterial yield (dimensionless)
Kdec Decay constant (h-1)
fx Reciprocal of wash-out fraction (dimensionless)
Qa Flow rate of wastewater feed to anode (m3 h-1)
Qc Flow rate of oxygen rich water to cathode (m3 h-1)
CinAc Concentration of acetate in wastewater (mol m-3)
CinCO2 Concentration of CO2 in the wastewater (mol m-3)
Xin Concentration of bacteria in the wastewater (mol m-3)
CinH Concentration of H+in the wastewater (mol m-3)
CinO2 Concentration of O2 in the influent of cathode compartment (mol m-3)
CinM Concentration of M+in the influent of the cathode compartment (mol m-3)
CinOH Concentration of OH- in the influent of the cathode compartment (mol m-3)
U0 Cell open circuit potential (V)
k10 Forward reaction rate constant for glucose (molm-2 h-1)
k20 Forward reaction rate constant for glutamic acid (mol m-2h-1)
K6 Half velocity rate constant for glucose (mol m-3)
K5 Half velocity rate constant for glutamic acid (mol m-3)
KO2 Half velocity rate constant for dissolved oxygen (mol m-3)
α1 Charge transfer coefficient for glucose oxidation (dimensionless)
α2 Charge transfer coefficient for glutamic acid oxidation (dimensionless)
β Charge transfer coefficient of cathode (dimensionless)
Table 4: MFC model parameters.