Chapter 4: Activated Sludge Modelling - IqTMA-UVa

Chapter 4: Activated Sludge Modelling - IqTMA-UVa Chapter 4: Activated Sludge Modelling - IqTMA-UVa

12.07.2015 Views

Expression of SBiomass balance:VdX/dt = 0 = Q 0 X 0 - (Q e X e + Q w X w ) + Vr g (Q e X e + Q w X w ) - Q 0 X 0 = VµXFrom the definition of SRT:(Q e X e + Q w X w ) - Q 0 X 0 = (Q e X e + Q w X w )= VX/SRT 1/SRT = µµ = µ m S/(K s + S) – k dS = K s (1 + (k d )SRT)/(SRT(µ m – k d ) – 1)28

Expression of XX can be obtained from S mass balance:VdS/dt = Q 0 S 0 – (Q e S e + Q w S w ) + r su V = 0With the assumptions that S = S w = S e = S r (S = bsCOD) and since (Q e+ Q w) = Q 0 , this becomes:Q 0 (S 0 – S) = -r su VSince r g = -Yr su – k d X; r g = µX = X/SRT and HRT = V/QX = (SRT/HRT) Y(S 0 – S)/(1 + (k d )SRT)29

Expression of SBiomass balance:VdX/dt = 0 = Q 0 X 0 - (Q e X e + Q w X w ) + Vr g (Q e X e + Q w X w ) - Q 0 X 0 = VµXFrom the definition of SRT:(Q e X e + Q w X w ) - Q 0 X 0 = (Q e X e + Q w X w )= VX/SRT 1/SRT = µµ = µ m S/(K s + S) – k dS = K s (1 + (k d )SRT)/(SRT(µ m – k d ) – 1)28

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