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Membrane and Desalination Technologies - TCE Moodle Website

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Preparation of Polymeric <strong>Membrane</strong>s 75<br />

Fig. 2.23 <strong>Membrane</strong> structures for P84 copolyimide asymmetric membranes (15 wt% P84, H 2O/<br />

NMP: 4.8/95.2 (w/w); coagulant: water; casting temperature: 25 C).<br />

fingering, which could advance quickly into the casting solution (Fig. 2.22b, d). Additionally,<br />

the loose bases of macrovoids were also the main transport channels for nonsolvent <strong>and</strong><br />

polymer-lean phase to go into the viscous fingering <strong>and</strong> displace the casting solution. Hence,<br />

the finger-like structure of porous membranes was a result of hydrodynamically unstable<br />

viscous fingering that was developed when the casting solution was displaced by a polymer<br />

poor phase. The schematic diagram of macrovoid formation is shown in Fig. 2.24. Analogue<br />

to the viscous fingering in the polymer system in the Hele–Shaw cells, the advance of viscous<br />

fingering for a non-Newtonian polymer solution in the Hele–Shaw cells can be described with<br />

Darcy’s Law (80):<br />

v ¼ b2<br />

rP; ð27Þ<br />

12 eff<br />

where v is the finger tip velocity, b is the plate gap of the Hele–Shaw cell, eff is the shear<br />

dependent viscosity of the viscous polymer solution <strong>and</strong> rP is the pressure gradient.<br />

Because of the phase inversion process, the viscous finger phenomenon in the immersion<br />

precipitation is different from traditional viscous fingering for two immiscible phases.<br />

Compared with the viscous fingering in the polymer system in the Hele–Shaw cells, the<br />

advance of viscous fingering in the immersion precipitation is controlled by three factors:<br />

the osmosis pressure between the polymer-poor phase <strong>and</strong> the coagulant, the viscosity of the<br />

dope solution <strong>and</strong> the approaching ratio (which can directly reflect the competition between<br />

the phase inversion process <strong>and</strong> viscous fingering). When poor coagulants are used or some<br />

solvents were added to the coagulation bath, the exchange rate of solvent <strong>and</strong> nonsolvent<br />

between the coagulation bath <strong>and</strong> the polymeric system will be very low <strong>and</strong> the delay<br />

demixing process occurs. Compared with a pure strong coagulation bath, its osmosis pressure

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