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Sludge Production

Way 1.

Px = Yob Q ( So-S ) X ( 1000 g/kg ) [ source from Metcalf & Eddy ]

Assuming volatile SS to reactor are negligible.
Px(kg/day) :
Net waste activated sludge produced each day, measured in terms of volatile SS.
Yobs, Observed yield (g/g) = Y/ ( 1+ Kd A)
                        Assuming Y: 0.65 g cells/g BODs
                                         Kd : 0.06 d^-1
                                         A : 10 days ( Mean cell-residence time)
Q= Flowrate ( CDM)
So: influent soluble BOD5 escaping treatment
S : influent BOD5

Way 2.

      X(kg/day)= X1( sludge from SS) + X2( sludge from soluble BOD and
                     endogenous decay)
                   = [Q( Mo-Mf )/ 1000] + [ (aY-bMV)/1000 ]
Q: As defined previously
Mo: influent SS( mg/l)
Mf: effluent SS (mg/l)
  a : Sludge transfer rate ( 0.5-0.8)
Y: BOD Removal ( kg/day)
b : Endogenous decay coefficient(d^-1) ( 0.01-0.1)
M: MLSS in reactor tank ( mg/l)
V : Reactor volume ( m³)

Way 3.

      X(kg/day)= (MLSS X V)/ A
   MLSS: As defined previously
   V : As defined previously
   A : As defined previously

-------- 07/21/2000

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