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The MBR Book: Principles and Applications of Membrane

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

2.2.4.4 Nitrification kinetics<br />

Equations (2.2–2.12) are primarily concerned with the degradation <strong>of</strong> organic carbon<br />

in the feed. It is common practice to extend the SRT <strong>and</strong> HRT in the aeration<br />

basin to achieve the degradation <strong>of</strong> ammonia (NH 4-N). <strong>The</strong> effluent nitrogen concentration<br />

(N e g/m 3 ) can be estimated by:<br />

N<br />

(2.13)<br />

where � n,m is the maximum specific growth rate <strong>of</strong> nitrifying bacteria, K n is the half<br />

saturation coefficient for nitrification, k e,n is the death rate coefficient for nitrifying<br />

bacteria <strong>and</strong> � n is the specific growth <strong>of</strong> nitrifying bacteria which can be found from:<br />

m<br />

e<br />

n<br />

1<br />

�<br />

u<br />

x<br />

(2.14)<br />

Literature values for the nitrification constants along with the heterotrophic constants<br />

can be found in Appendix B. Sludge production from nitrification is given by:<br />

QYnNOx Pxaut<br />

,<br />

1 k<br />

� � �<br />

(2.15)<br />

where Y n is the nitrification sludge yield (g VSS/g NH 4-N) <strong>and</strong> NO x is the concentration<br />

<strong>of</strong> NH 4-N that is oxidised (mg/L) to form nitrate. To calculate the NO x, a nitrogen balance<br />

can be performed on the system:<br />

NO = N �N�0.12P (2.16)<br />

where N is the influent total Kjeldahl (biochemically-oxidisable) nitrogen concentration<br />

(TKN, mg/L). NO x is used to determine P x, NO x can be estimated at the first attempt <strong>and</strong><br />

iterated to find values for NO x <strong>and</strong> P x,aut.<br />

Nitrifying bacteria operate more slowly than carbon degraders such that, to achieve<br />

nitrification, a longer HRT is required; nitrifiers are slower growing <strong>and</strong> require a<br />

longer SRT. An SRT <strong>of</strong> around 10 days is required to allow full growth <strong>of</strong> the nitrifying<br />

community (Huang, 2001). Fan et al. (1996) reported that perfect nitrification,<br />

that is, all <strong>of</strong> influent TKN converted to NO 3 � , can be achieved in an <strong>MBR</strong>.<br />

2.2.5 Aeration<br />

Kn( mn<br />

� ke,n)<br />

�<br />

m �k�m n,m e,n n<br />

e,n x<br />

x e x<br />

2.2.5.1 Fundamentals<br />

In conventional aerobic biological wastewater treatment processes, oxygen is usually<br />

supplied as atmospheric air, either via immersed air-bubble diffusers or surface aeration.<br />

Diffused air bubbles (via fine-bubble aeration) are added to the bulk liquid (as in an<br />

ASP, biological aerated filters (BAFs), fluidised bioreactors, etc.), or oxygen transfer

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