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. 2022 Jan 31;27(3):970. doi: 10.3390/molecules27030970
a0 Superficial area m−1
Ap Total area of particles
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
q˙ 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
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
ε Porosity -
μ Constant related to the particle geometry -
ρ Solvent density kg·m−3
ρs Solid phase density kg·m−3