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The MBR Book: Principles and Applications of Membrane

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(Madoni et al., 1993). <strong>The</strong> inter-relationships developed between aeration <strong>and</strong> various<br />

system facets <strong>and</strong> parameters are thus complex, especially given that, for an i<strong>MBR</strong>,<br />

aeration is also used for membrane scouring (Fig. 2.18). This complex relationship is<br />

usually accounted for by the � factor. <strong>The</strong> � factor is the difference in mass transfer<br />

(k La) between clean <strong>and</strong> process water, <strong>and</strong> has the most significant impact on aeration<br />

efficiency <strong>of</strong> all three conversion factors. It is accepted that � factor is a function<br />

<strong>of</strong> SRT (mean cell retention time), air <strong>and</strong> liquid flow rate <strong>and</strong> <strong>of</strong> tank geometry for a<br />

given wastewater (Rosso <strong>and</strong> Stenstrom, 2005), <strong>and</strong> is defined as:<br />

k a<br />

a �<br />

k a<br />

Aeration<br />

characteristics<br />

Bubble size<br />

Flow rate<br />

Aerator<br />

area<br />

L wastewater<br />

L cleanwater<br />

Intensity<br />

Floc size<br />

Viscosity<br />

MLSS<br />

Bulk biomass<br />

characteristics<br />

O 2 transfer<br />

Loading rate<br />

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

operation<br />

Fundamentals 49<br />

(2.24)<br />

Wastewater composition <strong>and</strong>, in particular, the level <strong>of</strong> surfactants affect the bubble<br />

size, shape <strong>and</strong> stability. Surfactants are found in detergents <strong>of</strong> all kinds, including<br />

washing up liquid, laundry powder <strong>and</strong> soap. A high concentration <strong>of</strong> contaminants<br />

builds up on the outside <strong>of</strong> the bubble, reducing both the diffusion <strong>of</strong> oxygen<br />

into solution <strong>and</strong> the surface tension. Reduced surface tension has the beneficial<br />

effect <strong>of</strong> reducing bubble size, thereby increasing the water-air interfacial area (a).<br />

Fine bubble aeration systems are most negatively affected by surfactants, since bubbles<br />

produced are already small <strong>and</strong> cannot be further reduced in size by a reduction<br />

in surface tension (Stenstrom <strong>and</strong> Redmon, 1996). It has been shown from experiments<br />

testing oxygen transfer in waters containing different surfactants that the<br />

ratio <strong>of</strong> mass transfer from surfactant water to clean water varies between 1.03 <strong>and</strong><br />

0.82 (Gillot et al., 2000). However, surfactants have a negative effect on ASP<br />

processes overall due to the promotion <strong>of</strong> foaming (Section 2.3.6.3).<br />

Studies <strong>of</strong> the impact <strong>of</strong> solids concentration on oxygen transfer in biological wastewater<br />

treatment systems have all indicated a decrease in OTR with increasing solids<br />

concentration regardless <strong>of</strong> the system studied, though the relationship is system- <strong>and</strong><br />

feedwater-dependent (Chang et al., 1999; Chatellier <strong>and</strong> Audic, 2001; Fujie et al., 1992;<br />

Gunder, 2001; Krampe <strong>and</strong> Krauth, 2003; Lindert et al., 1992; Muller et al., 1995).<br />

TMP<br />

Flux<br />

Permeability<br />

Cleaning<br />

Figure 2.18 Aeration impacts in an i<strong>MBR</strong> (adapted from Germain, 2004)

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