| ARIMA |
Autoregressive integrated moving average |
| CP |
Concentration polarisation |
| ln |
natural logarithm |
| Pe |
Boundary layer Peclet number |
| TMP |
Transmembrane Pressure |
| UF |
Ultrafiltration |
|
|
|
|
A
|
area of membrane |
|
C
|
concentration |
|
D
|
diffusivity |
|
F
|
net driving force |
|
J or J(t) |
volumetric flux |
|
Kn
|
constant dependent upon the mode of blockage (Equation (11)) |
|
k
|
boundary layer mass transfer coefficient
|
|
kn
|
constant dependent upon the mode of blockage (Equation (9)) |
|
n
|
index characteristic of a particular mode of blocking |
|
Rf
|
foulant resistance (m−1) |
|
Rm
|
hydraulic resistance of the membrane (m–1) |
|
Rt
|
overall resistance (m−1) |
|
t
|
time |
|
V
|
filtrate volume |
|
v
|
specific volume
|
|
|
thickness of mass transfer boundary layer |
|
μ
|
viscosity |
|
|
viscosity of the permeate |
| ΔP
|
transmembrane pressure difference |
|
|
osmotic pressure difference across the membrane (
|