Symbols:

tTime[h]
SSubstrate feed rate[C-mol/h]
rConversion rate[C-mol/h]
qSpecific rate[g/g/h]
YYield[C-mol/C-mol]
FFlow/feed rate[g/h]/[nL/min]
CConcentration[C-mol/l]
XTotal amount of biomass [C-mol]Vm Molar volume of gas at norm condition (0 °C and 1 atm)[nl/mol]
RainertInert gas ratio (see equation 10)[-]
ywetO2 concentration in off-gas diluted by water content[-]
exH2OOff-gas water content[-]
ρfeedFeed density[g/L]
S0Concentration feed[g/L]
kFeed exponent[h-1]