110
H. Rehage and M. Kind
C
Nucleation kinetics constant [–]
D ri,sol
Average diffusion coefficient of reactive ions (ri) in solvent (sol) [m
2 s
−1
]
D T
Impeller diameter [m]
d prim
Inner feed pipe diameter [m]
E
Engulfment constant [s
−1
]
f rec
Recalculation frequency [–]
G
Growth rate [m
1 s
−1
]
H T
Feed pipe off-bottom clearance [m]
J
Nucleation kinetics factor [m
−3 s
−1
]
K
Solubility product [mol
2 m
−6
]
k B
Boltzmann constant [m
2 kg
1 s
−1 K
−1
]
L
Particle diameter [m]
¯
L mol,ri
Average molecular diameter of reactive ions [m]
L crit
Critical nucleation radius [m]
L min
Minimal particle size of PSD grid [m]
L max
Maximal particle size of PSD grid [m]
L 50,3
Median of volume-based PSD [m]
L
PSD grid spacing [m]
M
Mass [kg]
˙
M
Mass flow [kg
1 s
−1
]
˜
M
Molar mass [kg
1 mol
−1
]
m i
Mass of particles in class i [kg]
N
Stirrer rotational speed [s
−1
]
n
Particle number density [m
−4
]
n A/B
Particle number density in zone A or B [m
−4
]
n t
Total particle density [m
−3
]
n r
Refractive index [–]
Q
Volume flow [m
3 s
−1
]
q 0
Number-based PSD [m
−1
]
q 3
Volume-based PSD [m
−1
]
R
Free lattice ion ratio [–]
R T
Radial position of feed pipe [–]
S a
Activity-based saturation [–]
T T
Tank diameter [m]
T
Temperature [K]
t
Process time [s]
t
Semi-batch model timestep [s]
¯
u
Average velocity [m
1 s
−1
]
V mol,s
Molecular volume of solid [m
3 ]
V
L
Liquid phase volume [m
3 ]
V BF
Bulk fluid volume [m
3 ]
w i
Particle mass fraction in particle size class i [–]
x
Mass fraction [–]
x
L
j
Component mass fractions in liquid phase [–]
z
Mixer length coordinate [m]