4. p
C
% 1 ×100
= −
f
C
SR (4)
where, Cp = concentration of permeate; Cf = concentration of feed. Average solute radii, known as
Stoke radii, can be evaluated according to the procedure developed [12]. From the values of %SR,
the average solute radius, a , was derived from the Sarbolouki equation, which is constant for each
molecular weight of dextran.
0.096 0.59 0.128 0.5 M + M
2
10. (9)
Where, Jv is volume flow per unit area and time through the membrane, m/s; k is mass transfer
coefficient, m/s; Cm is membrane concentration in contact with the high pressure interface, mol/m3;
Cp is permeate concentration, mol/m3 and Cf is feed concentration, mol/m3.
Using the equation (8) and (9) the equation (7) can be rewritten as following form.
(10)
Where, Ro is the observed retention coefficient and R is the true retention coefficient. ln [(1-Ro)/Ro]
was plotted against Jv for experiments with various membranes. The plots showed a linear fit. From
the corresponding line equation, the slope (1/ k) and intercept ln [(1-R)/R] were obtained. From
which, the mass transfer coefficient, k, and true retention coefficient, R, were determined [14].
2.7. Concentration of sugarcane juice
The sugarcane juice is obtained from vellore co-operative sugar mills ammundi. It is then
subjected to clarification by adding lime. The clear super latent liquid is taken without any
disturbance and collected in a 1000 ml measuring jar. The concentration of the total sugars in the
12. #$
(10)
%'()* +,
-./0 1 !22 (11)
3456 7 1 78 1 4569:;=?
@@ @AB 1 CD?9
3. RESULTS AND DISCUSSION
3.1. Effect of PES and PEG composition on water content
It is well known that the adsorbed water in membrane is beneficial for water permeation in
the membrane. However, excess water content can lead to the deterioration of mechanical strength of
the membrane due to its dissolving nature for the membrane material. As can be seen from Table 1,
the water content of the membranes decreased with increasing concentration of PES, ratio of the
membrane increased with increasing SD, owing to the increase of the hydrophilicity. The water
content of the PES membranes with PEG additive was measured and shown in Table 2
Table 1 Membrane casting composition, PWF, Water content and pore architecture of PES
membranes without PEG 600
Type PES
(%)
Solvent
(DMF)
(wt%)
PWF
(l/m2h)
Water
Content
(%)
Rm
(kPa l-1.m2.h)
R#
(Å)
N±
(×1012)
e * × 10-5
(%)
PES1 15 85 18.0 80 2.8 55 7.98 7.21
PES2 16 84 15.8 74 3.5 43 6.33 5.98
PES3 17 83 12.3 70 5.5 40 5.00 4.33
PES4 18 82 6.5 65 7.0 38 4.42 3.00
PES5 19 81 Noflux 40 -- -- -- --
PES6 20 80 No flux 35 -- -- -- --