Symbol |
Interpretation |
J |
Permeate flux (L/m2/hr or
LMH) |
D |
Diffusivity of mAb A in the buffer
(m2/s) |
δ |
Thickness of the gel layer |
Cw / Cf / Cb /
Cp / Cr |
Solute concentration at
wall/feed/bulk/permeate/retentate |
P(Feed/Retentate/Permeate) |
PMAT Pressures at respective
inlets / outlets |
Sh |
Sherwood Number |
Re |
Reynolds Number |
Sc |
Schmidt Number |
L |
Length of the membrane |
dh |
hydraulic diameter |
μb / μw |
Viscosity of the bulk
solution / wall concentration |
β, a, b, c, z |
Empirical Constants |
A |
Membrane area (m2) |
Q / qf |
Feed flux (LMH) / Feed flow rate
(L/hr) |
𝜙 |
Conversion (fraction of flow exiting through the
permeate) |
k0 / k1 |
Known and unknown
mass transfer coefficient at feed flow rates q0 and
q1 (L/hr) respectively |
kmodel |
Defined by equation 3.6 using values
from the slopes of J vs ln(Cb) (Fig. 6A) |
Cw, model |
Power regression fit of the
x-intercepts on J vs ln(Cb) |
Jexp |
Measured experimental permeate flux
(Figure 7) |