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The MBR Book: Principles and Applications of Membrane

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30 <strong>The</strong> <strong>MBR</strong> <strong>Book</strong><br />

<strong>The</strong> membrane resistance is governed by the membrane material itself, <strong>and</strong> mainly<br />

the pore size, the surface porosity (percentage <strong>of</strong> the surface area covered by the<br />

pores) <strong>and</strong> the membrane thickness. <strong>The</strong> fouling layer resistance is associated with<br />

the filtration mechanism, which is then dependent on the membrane <strong>and</strong> filtered<br />

solids characteristics. <strong>The</strong> membrane:solution interfacial region resistance is associated<br />

with concentration polarisation (CP) (Section 2.1.4.4) which, for the more<br />

perm-selective processes such as RO, produces a solution osmotic pressure at the<br />

membrane surface which is higher than that in the bulk solution. <strong>The</strong> resistance<br />

<strong>of</strong>fered by foulants is <strong>of</strong>ten further delineated into generic types according to their<br />

characteristics, behaviour <strong>and</strong> origin (Sections 2.1.4.2 <strong>and</strong> 2.3.6.8). However, in<br />

general, the membrane resistance only dominates when fouling is either absent (i.e.<br />

the feedwater is almost free <strong>of</strong> fouling materials) or is suppressed by operating under<br />

specific conditions (Sections 2.1.4.5 <strong>and</strong> 2.3.9).<br />

2.1.4.2 Dead-end <strong>and</strong> crossflow operation<br />

Conventional pressure-driven membrane processes with liquid permeation can<br />

operate in one <strong>of</strong> two modes. If there is no retentate stream then operation is termed<br />

“dead-end” or “full-flow”; if retentate continuously flows from the module outlet<br />

then the operation is termed crossflow (Fig. 2.7). Crossflow implies that, for a single<br />

passage <strong>of</strong> feedwater across the membrane, only a fraction is converted to permeate<br />

product. This parameter is termed the “conversion” or “recovery”. <strong>The</strong> recovery is<br />

reduced further if product permeate is used for maintaining process operation, usually<br />

for membrane cleaning.<br />

Filtration always leads to an increase in the resistance to flow. In the case <strong>of</strong> a<br />

dead-end filtration process, the resistance increases according to the thickness <strong>of</strong> the<br />

cake formed on the membrane, which would be expected to be roughly proportional<br />

to the total volume <strong>of</strong> filtrate passed. Rapid permeability decay then results, at a rate<br />

proportional to the solids concentration <strong>and</strong> flux, dem<strong>and</strong>ing periodic cleaning<br />

(Fig. 2.8). For crossflow processes, this deposition continues until the adhesive forces<br />

binding the cake to the membrane are balanced by the scouring forces <strong>of</strong> the fluid<br />

(either liquid or a combination <strong>of</strong> air <strong>and</strong> liquid) passing over the membrane. All<br />

other things being equal, a crossflow filtration process would be expected to attain<br />

steady-state conditions determined by the degree <strong>of</strong> CP (Section 2.1.4.4). In practice,<br />

Feed<br />

Permeate<br />

or filtrate<br />

Filter cake<br />

membrane<br />

or septum<br />

(a) (b)<br />

Feed Concentrate<br />

Permeate<br />

Figure 2.7 (a) Dead-end <strong>and</strong> (b) crossflow filtration<br />

<strong>Membrane</strong><br />

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