Formula:
Q=A×V
Where: ( Q ) = flow rate (e.g., m³/s), ( A ) = cross-sectional area (m²), ( V ) = velocity (m/s)
Used to determine the volume of wastewater moving through a system.
Biochemical Oxygen Demand (BOD) Removal Efficiency
Formula:
Efficiency (%)=BODin−BODout/BODin x 100
Where: BODin=influent BOD (mg/L), BODout=effluent BOD (mg/L)
Chemical Oxygen Demand (COD) to BOD Ratio
Formula:
COD:BOD; COD/BOD
Where: COD = chemical oxygen demand (mg/L), BOD = biochemical oxygen demand (mg/L)
Sludge Volume Index (SVI)
Formula:
SVI=SSV30/MLSS×1000
Where: SSV30=settled sludge volume after 30 minutes (mL/L), MLSS = mixed liquor suspended solids (mg/L)
Food to Microorganism Ratio (F/M)
Formula:F/M=BODin x Q/MLSS x V
Where: (Q)=Flow Rate (meters cubed per day), (V)=aeration tank volume (meters cubed)
Hydraulic Retention Time (HRT)
Formula: HRT=V/Q
Where: (V) = tank volume (meters cubed), (Q) = flow rate (meters cubed per day)
Solids Retention Time (SRT)
Formula:SRT=V×MLSS/Qw×WASSS+Qe×ESS
Where:Qw=waste sludge flow rate (m³/day), WASSS = waste activated sludge suspended solids (mg/L)
Qe = effluent flow rate (meters cubed per day) , ESS = effluent suspended solids (mg/L)
Organic Loading Rate (OLR)
Formula:OLR= BODin x Q/V
Units: kg BOD/m³·day
Chlorine Dosage
Dose: Cl2Demand+Residual/Efficiancy
Where:
Cl2 Demand = chlorine required to oxidize contaminants (mg/L),
Residual = desired chlorine residual (mg/L),
Efficiency= application efficiency (decimal)
Settling Velocity (v)
Formula: V=Q/A
Where: ( Q ) = flow rate (m³/s), ( A ) = surface area of settling tank (m²)
Total Suspended Solids (TSS) Removal
Formula: Removal (%)=TSSin−TSSout/TSSin x 100
Where: TSSin = influent TSS (mg/L), TSSout = effluent TSS (mg/L)
Power Requirement for Aeration
Formula: P= O2 Demand×Q/O2 Transfer Efficiency
Where: ( P ) = power (kW), O2 Demand = oxygen required (kg/day), ( Q ) = flow rate (m³/day)