Latin symbols
AH Hamaker constant (-)
c a constant (-)
C1 correction factor of tangential drag (-)
C2 correction factor of normal drag (-)
cd dextran concentration (g L-1)
Cf feed concentration (g L-1)
Cp permeate concentration (g L-1)
Cw concentration of solute near the membrane surface (g L-1)
D equilibrium distance (m)
Di diameter of impeller (m)
dp particle diameter (m)
D diffusion coefficient of the solute (m2 s-1)
e electrical charge (C)
E specific energy consumption (kWh kg-1)
eo absolute permittivity (C2J−1 m−1)
er dielectric constant (-)
Fe electrostatic force (N)
Ff friction force (N)
Fg net gravitational force (N)
Fl inertial lift force (N)
Fn net interparticle force (N)
Fp normal drag force (N)
Fs solid compressive force (N)
Ft tangential drag force (N)
Fv van der Waals force (N)
h blade height (m)
J permeate flux (m3 m-2s-1)
k rate constant (Da-1 min-1)
kB Boltzmann constant (J K-1)
Kc convective hindrance factor (-)
Kd diffusive hindrance factor (-)
km bulk mass transfer coefficient (m s-1)
ko Kozeny constant (-)
Kp membrane specific constant (m-1)
L cake thickness (m)
Mo initial molecular weight (Da)
Mf mass of dextran substrate in the feed (kg)
Mlim limiting molecular weight (Da)
Mp dextran mass in the permeate (kg)
Mt molecular weight at a certain reaction time (Da)
Mw molecular weight (Da)
nb number of blades (-)
ni number of ions per unit volume (-)
Ns solute flux (g m-2s-1)
NT dimensionless power number (-)
P operating pressure (Pa)
Pa power for generating the applied pressure (W)
Pem Peclet number (-)
Ps power dissipated by a stirrer (W)
Q permeate flow rate (m3 s-1)
r a constant with a function of cake porosity (-)
R radius of the stirred cell (m)
Re Reynolds number (-)
Rc critical radius (m)
Rm membrane intrinsic resistance (m-1)
Rp pore radius of membrane (m)
Rs solute radius (m)
Rt overall filtration resistance (m-1)
S membrane effective area (m2)
Sa actual membrane sieving coefficient (-)
Se pore surface area (m2)
So observed sieving coefficient (-)
Sp specific surface area of particle (m2)
S asymptotic sieving coefficient (-)
t reaction time (min)
T filtration time (h)
Te absolute temperature (K)
vl inertial lift velocity of particles (m s-1)
Vp pore volume (m3)
wc cake mass (kg m-2)
Y yield of product (-)
zi valence of ions of type i (-)