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The MBR Book: Principles and Applications of Membrane

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Viscosity (mPa s)<br />

100<br />

10<br />

1<br />

Viscosity correlations are complicated by the non-Newtonian pseudoplastic nature<br />

<strong>of</strong> the sludge, but it has nonetheless been shown to have a negative influence on the<br />

oxygen transfer coefficient (Badino et al., 2001; García-Ochoa et al., 2000; Jin et al.,<br />

2001; Koide et al., 1992; Özbek <strong>and</strong> Gayik, 2001). This has variously been attributed<br />

to bubble coalescence <strong>and</strong> solubility impacts, with larger bubbles forming (Özbek <strong>and</strong><br />

Gayik, 2001) <strong>and</strong> greater resistance to mass transfer recorded (Badino et al., 2001) at<br />

higher viscosity. Air is also less well distributed at higher viscosities, the smaller bubbles<br />

becoming trapped in the reactor (Jin et al., 2001).<br />

Correlations between the �-factor <strong>and</strong> viscosity (� kg/(m s)) have been presented,<br />

these correlations being more pronounced than those between �-factor <strong>and</strong> MLSS<br />

concentration (Wagner et al., 2002). Relationships presented take the form:<br />

a � h�x<br />

(2.25)<br />

where x � 0.45 (Günder, 2001) or 0.456 (Krampe <strong>and</strong> Krauth, 2003) at a shear rate<br />

<strong>of</strong> 40 s �1 in activated sludge <strong>of</strong> high MLSS concentrations. <strong>The</strong> correlation is sheardependent:<br />

increasing shear stress decreases viscosity (Dick <strong>and</strong> Ewing, 1967; Wagner<br />

et al., 2002). An increase in aeration rate therefore <strong>of</strong>fers the dual benefit to oxygen<br />

transfer in that it increases the amount <strong>of</strong> available oxygen <strong>and</strong> also decreases biomass<br />

viscosity by increasing shear stress. Viscosity increases roughly exponentially with<br />

increasing MLSS concentration (Manem <strong>and</strong> S<strong>and</strong>erson, 1996; Rosenberger et al.,<br />

1999, Fig. 2.20), impacting negatively on both oxygen transfer <strong>and</strong> membrane fouling<br />

(Section 2.3.6.3).<br />

2.2.6 Nutrient removal<br />

Fundamentals 51<br />

0 10 20 30 40 50 60 70 80<br />

MLSS (g/L)<br />

Filamentous structure*<br />

Free suspended cells*<br />

Aggregate data**<br />

Figure 2.20 Viscosity vs. MLSS concentration, *Rosenberger et al. (1999), **data from Stephenson et al.<br />

(2000)<br />

<strong>The</strong> removal <strong>of</strong> total nitrogen by biochemical means dem<strong>and</strong>s that oxidation <strong>of</strong><br />

ammonia to nitrate takes place under aerobic conditions (Equations (2.27–2.29)),<br />

<strong>and</strong> that nitrate reduction to nitrogen gas takes place under anoxic conditions

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