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. 2022 Feb 5;12(2):187. doi: 10.3390/membranes12020187
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 (=D/δ)
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 (=V/A)
δ thickness of mass transfer boundary layer
μ viscosity
μp viscosity of the permeate
ΔP transmembrane pressure difference
Δπ osmotic pressure difference across the membrane (=πmπp)