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Chapter 4: Activated Sludge Modelling - IqTMA-UVa

Chapter 4: Activated Sludge Modelling - IqTMA-UVa

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Continuous Treatment in wellmixed reactors (CSTR)Under a steady state in a well mixed reactor X = Xr and S = Sr (X and S = concentrations)Under a steady state dX/dt = dS/dt = 0This also means:Q(X – X o ) = P x = biomass production rateQX 0S 0VrXrrSrS rQXSQ(S o – S) = P s = substrate consumption rateVdX r /dt = cell in - cell out + cell produced = QX 0 - QX + r g VFor simplification, X 0 = 0 and by definition r g = µX XV=XQ = Q/VBy definition D = dilution rate = Q/V = µ = 1/HRT (Hydraulic RetentionTime): The growth rate is dictated by the dilution rate.8

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