List of Symbols
xii
AGd
AG°a
AG"f
Gr
h
h(y)
h ly )
h(y)
HA
AHa
AH°f
I
J
k„
K
K
ki
k,a
ks
K„
K,
K
Keq
K„
m
m
Watp
ms
M„(t)
n
N
Na
Nf
NP
P
P a
p(y,y*.t)
P,
P
P
P
PS
P
Pe
Qa
‘jA.Obs
9*
q
q'
Gibbs free energy of denaturation (kJ m ole1), Eq. (7.28)
Gibbs free energy of combustion of the ith reaction component at standard conditions
(kJ mole1)
Gibbs free energy of formation at standard conditions (kJ m ole1)
Grashof number, defined in Table 10.6
Test function, given by Eq. (3.52)
Net rate of formation of cells with property y upon cell division (cells If1)
Rate of formation of cells with property
y
upon cell division (cells h'1)
Rate of disappearance of cells with property
y
uponcell division (cells h 1)
Henry's constant for compound A (atm L m ole1)
Enthalpy of combustion of the ith reaction component (kJ mole'1)
Enthalpy of formation (kJ m ole1)
Identity matrix (diagonal matrix with 1 in the diagonal)
Jacobian matrix, Eq. (9.102)
Enzyme activity (g substrate [g enzyme]'1
h 1)
Rate constant (e.g. kg kg'1
h'1)
Mass transfer coefficient for gas film (e.g. mole atm'1
s'1
m'2)
Mass transfer coefficient for a liquid film surrounding a gas bubble ( m s'1)
Volumetric mass transfer coefficient (s'1)
Mass transfer coefficient for a liquid film surrounding a solid particle (m s'1)
Acid dissociation constant (moles L'1)
Overall mass transfer coefficient for gas-liquid mass transfer ( m s 1)
Partition coefficient
Equilibrium constant
Michaelis constant (g L'1), Eq. (6.1)
Amount of biomass (kg)
Degree of mixing, defined in Eq. (11.1)
Maintenance-associated ATP consumption (moles ATP [kg DW]'1
h ‘)
Maintenance-associated specific substrate consumption (kg [kg DW]'1
h'1)
The nth moment of a one-dimensional distribution function, given by Eq. (8.9)
Number of cells per unit volume (cells m'3), Eq. (8.1)
Stirring speed (s'1)
Aeration number, defined in Eq. (11.9)
Flow number
Power number, defined in Eq. (11.5)
Extracellular metabolic product concentration (kg m'3)
Partial pressure of compound A (e.g. atm)
Partitioning function, Eq. (8.5)
Productivity of species
i
in a chemostat (e.g. kg m'3 h'1)
Dimensionless metabolic product concentration
Permeability coefficient (m s'1)
Power input to a bioreactor (W)
Power input to a bioreactor at gassed conditions (W)
Variance-covariance matrix for the residuals, given by Eq. (3.46)
Peclet number, defined in Table 10.6
Volumetric rate of transfer of A from gas to liquid (moles L'1
h'1)
Observed volumetric formation rate of A (kg m'3 h'1), Eq. (10.45)
Volumetric rate of formation of biomass (kg DW m'3 h'1)
Volumetric rate vector (kg m'3 h'1)
Vector of volumetric mass transfer rates (kg m'3 h'1)
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