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)