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Chapter 4: Activated Sludge Modelling - IqTMA-UVa

Chapter 4: Activated Sludge Modelling - IqTMA-UVa

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Influence of endogenous decayNow = mS/(K s+S) – k dS: The biomass balance is identical, hence: D = = m S/(K s +S) – k d . Solving this equationgives: S = K s(D + k d)/( m– D – k d)S mass balance: VdS/dt = 0 = QS 0 – QS + r su Vr su = -r g /Y-k d X/Y = -X/Y-k d X/Y = -X(D + k d ) /YSolving this equation gives: X = YD(S 0– S)/(D + k d) = Y(S 0– S)/(1 + k d/D)D max is obtained for S = S 0 = K s (D + k d )/( m – D – k d )Solving this equation gives D max = m /(1 + K s /S 0 ) - k d13

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