4 Dynamic Simulation of Technical Precipitation Processes
111
α abs
Absorption coefficient [–]
α k
Volume fraction of zone k [–]
β
Splitting factor/recycle ratio [–]
γ ±
Activity coefficient [–]
γ sl
Solid-liquid interface tension [N
1 m
−1
]
δ
Dirac-delta function [m
−1
]
¯
ε
Average energy dissipation [m
2 s
−3
]
μ
Dynamic viscosity [Pa
1 s
1
]
ν
Kinematic viscosity [m
2 s
−1
]
ξ
S
Mass fraction of solid phase [–]
ξ
L
Mass fraction of liquid phase [–]
υ s
Number of ions for solids formation [–]
ϑ m,sf
Stochiometric coefficients of solids formation reaction [–]
˜
ρ s
Molar density of solid [kg
1 m
−3 ]
τ mix
Time scale of mixing [s]
τ sf
Time scale of solids formation [s]
τ ct
Computational time (real time) [s]
Indices
i
Particle size class index
j
Compound index in liquid phase (solved ions and solvent)
k
Mixing fraction index
m
Index for solved ions in liquid phase
w
Index for solvents in liquid phase
0
Index for initial value (t = 0)
sf
Solids formation
mix
Mixing
ri
Reactive ions
sol
Solvent
out
Outlet
mol
Molecular
Superscript Characters
L
Liquid phase
S
Solid phase
1:1
1:1 mixture of educt fluids for well-mixed condition