Calculating the Observed Solids Yield

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Calculating the Observed Solids Yield, g VSS/g bsCOD removed and g TSS/g bsCOD removed

Below you can find the typical formulas, coefficients and empirical data used to establish the basic design of a complete mix suspended growth biological sewage wastewater process.

To use this calculator please fill in the input value data of your sewer wastewater and as a result some basic plant design and effluent BOD data will follow out of the calculations. If the normal sewer water characteristics are unknown, please press the "typical data" button for an autofill of the input fields.
More information and theory about the Input Parameters and the Kinetic Coefficients you can find in the Documentation.

Characteristics of Primary Sedimentation Effluent
wastewater flowrate Q = m3/d
influent soluble substrate concentration (bsCOD) S0 = BOD or bsCOD g/m3
nbVSS concentration in influent X0,i = g/m3 or mg/l
inert inorganics Total Suspended Solids (iTSS) iTSS = g/m3
total MLVSS concentration XT = g/m3 or mg/l
Solids Retention Time (SRT) SRT = d
Kinetic Coefficients
maximum rate of soluble substrate utilization k = g COD/g∙d
biomass yield Y = g VSS/g COD used
endogenous decay coefficient kd = g VSS/g VSS∙d
half-velocity constant Ks = g COD/m3
fraction of biomass that remains as cell debris fd = g VSS/g VSS
The observed solids yield removed: Yobs,VSS = g VSS/g bsCOD
Yobs,TSS = g TSS/g bsCOD

Where:
S = effluent soluble substrate concentration (bsCOD) [g/m3] or [mg/l]
Ks = half-velocity constant, substrate concentration at one-half the maximum specific substrate utilization rate [g COD/m3]s
kd = endogenous decay coefficient [g VSS/g VSS∙d]
SRT = Sedimentation Retention Time [d]
Y = biomass yield [g VSS/g COD used]
k = maximum specific substrate utilization rate [g COD/g∙d]
Q = influent flowrate [m3/d]
bsCOD = biodegradable soluble Chemical Oxygen Demand [g/m3] or [mg/l]
MLVSS = Mixed liquor Volatile Suspende Solids [g/m3] or [mg/l]
fd = fraction of biomass that remains as cell debris [g VSS/g VSS]
VSS = Volatile Suspended Solids [g/m3] or [mg/l]
TSS = Total Suspended Solids [g/m3] or [mg/l]

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Documentation
This formula will establish the removed solids yield of an sewer wastewater treatement plant:


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