|
a0
|
Superficial area |
m−1
|
|
Ap
|
Total area of particles |
m² |
|
c
|
Extract concentration on fluid phase |
kg·m−3
|
| D |
Diffusivity of the solute inside the particle |
m2·s −1
|
|
Di
|
Internal diffusion coefficient |
m²·s−1
|
|
e
|
Extract mass in regard to N |
- |
| G |
Particle size |
mesh |
|
h
|
Bed height |
m |
| h |
Axial coordinate |
m |
| J |
Mass transfer rate |
kg·s−1·m−3
|
|
K
|
Inaccessible solute mass inside the solid particles |
kg |
|
K
|
Equilibrium coefficient |
m3·kg−1
|
|
kf
|
Mass transfer coefficient for fluid phase |
m·s−1
|
|
ks
|
Mass transfer coefficient for solid phase |
m·s−1
|
|
kTM
|
Internal mass transfer coefficient |
m·s−1
|
|
l
|
Characteristic dimension |
m |
|
Mt
|
Mass extracted at a given time |
g |
|
M
∞
|
Mass extracted in an infinite time |
g |
|
N
|
Solid phase mass free from solute |
kg |
| n |
Number of the series expansion |
- |
|
O
|
Initial solute mass in solid phase |
kg |
|
P
|
Easily accessible solute mass |
kg |
| P |
Pressure |
bar |
| p |
Descriptive p-value level |
- |
| Q |
Solvent flow rate |
g·s−1
|
|
q
|
Specific quantity of solvent |
- |
| q |
Extract fraction in solid phase |
kg·kg−1
|
|
qm
|
Specific amount of solvent at the beginning of extraction in the interior of particles |
- |
| qn
|
Specific amount of solvent at the end of the extraction of easily accessible solute |
- |
| q0
|
Initial concentration of extract in solid phase |
kg·kg−1
|
|
q* |
Concentration in the solid–fluid interface |
kg·kg−1
|
|
|
Solvent mass flow in regard to N |
s−1
|
| r |
Particle radius |
m |
| T |
Temperature |
°C |
| t |
Extraction time |
s |
|
ti
|
Time for internal diffusion |
s |
|
u
|
Solvent superficial velocity |
m·s−1
|
|
V
|
Extractor volume |
m³ |
|
x
|
Fraction of solute in the solid phase (solute free basis) |
|
|
x
0
|
Initial concentration of free solute in the solid phase (mass fraction) |
|
|
xk
|
Initial extract concentration inside the solid particles (mass fraction) |
|
| xp
|
Easily accessible solute concentration (mass fraction) |
|
| y |
Solute fraction in fluid phase (free basis) |
|
|
yr
|
Extract solubility on solvent |
|
|
W
|
Sovová model parameter for the slow extraction period |
|
|
Z
|
Sovová model parameter for the rapid extraction period |
|
|
zw
|
Boundary coordinate between fast and slow extraction |
|
| Greek Letters |
|
|
|
Porosity |
- |
|
μ
|
Constant related to the particle geometry |
- |
|
ρ
|
Solvent density |
kg·m−3
|
|
ρs
|
Solid phase density |
kg·m−3
|