BOD5 Removal and Equation for Reaction Volume Sizing
The BOD5 removals were above 90% for the 72-hour HRT under the conditions of applying MLVSS concentrations of 4000–4500 and 5000–5500 mg L− 1, making this the ideal recommendation for the sizing of activated sludge systems (Table 1 and Fig. 1a).
Table 1
Removal of the 6 main operating parameters
Parâmetros | MLVSS 3,000–3,500 mg L− 1 | | MLVSS 4,000–4,500 mg L− 1 | MLVSS 5,000–5,500 mg L− 1 |
BOD5 (mg L− 1) |
To treat | 1100(10) | | 1100(10) | 1100(10) |
HRT 24 | 550(20)a | | 300(5)b | 292(1.1)b |
HRT 48 | 360(14)a | | 142(3)b | 134(2.4)b |
HRT 72 | 229(6.2)a | | 90(0.5)b | 80(0.3)b |
COD (mg L− 1) |
To treat | 2400(64) | | 2400(64) | 2400(64) |
HRT 24 | 950(12)a | | 590(26)b | 500(7)b |
HRT 48 | 605(9)a | | 312(10)b | 273(1.1)b |
HRT 72 | 290(0.6)a | | 110(2.3)b | 100(1.9)b |
O&F (mg L− 1) |
To treat | 30(0.5) | | 30(0.5) | 30(0.5) |
HRT 24 | 20(0.3)a | | 15(0.1)a | 10(0.3)b |
HRT 48 | 12(0.1)a | | 9(0.02)a | 4(0.01)b |
HRT 72 | 10(0.0)a | | 0(0.0)b | 0(0.0)b |
Surfactants (mg L− 1) |
To treat | 8(0.02) | | 8(0.02) | 8(0.02) |
HRT 24 | 2(0.0)a | | 1.1(0.03)a | 0.5(0.0)b |
HRT 48 | 0.5(0.0)a | | 0.6(0.0)a | 0.0(0.0)b |
HRT 72 | 0.0(0.0)a | | 0.0(0.0)a | 0.0(0.0)a |
N-NTK (mg L− 1) |
To treat | 50(3) | | 50(3) | 50(3) |
HRT 24 | 12(0.2)a | | 10(0.0)a | 8(0.01)a |
HRT 48 | 8(1)a | | 3(0.0)b | 1(0.0)b |
HRT 72 | 3(0.02)a | | 0(0.0)a | 0(0.0)a |
TSP (mg L− 1) |
To treat | 20(0.2) | | 20(0.2) | 20(0.2) |
HRT 24 | 18(0.5)a | | 15(0.02)a | 13(1)a |
HRT 48 | 15(0.1)a | | 10(0.0)b | 8(0.0)b |
HRT 72 | 10(0.1)a | | 4(0.0)b | 3(0.0)b |
O&F – Oils and fats; TPS – Total soluble phosphorus |
For the 48-hour HRT and the same MLVSS concentrations, the BOD5 removals ranged between 85 and 87%, which can also be adopted in situations where discharge standards in watercourses are less stringent. However for the 24-hour HRT, the BOD5 removals were between 50 and 73%, and thus, not recommended.
In Fig. 1, it can be observed that the decay process of BOD5 is more intense up to 24 hours, reaching up to 73% removal. However, even with the significant MLVSS concentration used, the 90% efficiency is only achieved after 72 hours of HRT. There was no statistical difference for the 72-hour HRT when applying 4000–4500 and 5000–5500 mg MLVSS L− 1.
The equation that determines the decay kinetics obtained in Fig. 1 was used in the proposed equation for reactor sizing.
$$\text{V}\text{r}=\frac{\text{Q} \times \text{D}\text{B}\text{O}\text{i}\text{n}-940{\times \text{e}}^{(-0.036 \times \text{H}\text{R}\text{T})}}{1000\times F/M\times \text{M}\text{L}\text{V}\text{S}\text{S}} \left(1\right)$$
Were:
Q (m³ d− 1) = flow rate; DBOin = Initial BOD5 concentration (mg L− 1); HRT = Hydraulic retention time (minutes); F/M = food-to-microorganism ratio; MLVSS (g L− 1).
The term in the equation: \(940 \text{x} {\text{e}}^{(-0.438 \times \text{H}\text{R}\text{T})}\), was obtained from the kinetic curves of the bench tests and corresponds to the final BOD obtained by the treatment system as a function of the HRT (Fig. 1a).
The Eq. 1 can be used under the following conditions:
DBOin (influent to the reactors): ≤ 1,200 mg BOD5 L− 1
MLVSS range: 4,000 to 5,500 mg L− 1 (equivalent to 4 to 5.5 g/L)
F/M (Food to Microorganism ratio): 0.075 to 0.10
HRT (Hydraulic Retention Time): 48 to 72 hours for 87 to 92% BOD5 removal
Sludge age (θc): 18 to 30 days.
Under these conditions, Eq. 1 can be applied for the sizing of activated sludge reactors.
Example
\(\text{V}\text{r}=\frac{100 \times (1000-940{\times \text{e}}^{\left(-0.036 \times 72\right)})}{1000\times 0.08\times 4}=290 \text{m}³\)
COD Removal
COD removals above 95% were achieved only for the 72-hour HRT at MLVSS concentrations of 4000–4500 and 5000–5500 mg L− 1, which is the recommended range for full-scale unit sizing (Table 1). During the same period (72 h) and at concentrations between 3,000–3,500 mg L− 1, COD removals of 88% were recorded. For COD removal (Table 1 and Fig. 1b), a similar pattern to BOD5 decay was observed up to 24 hours of HRT. However, after 24 hours, 75% of the applied COD was already removed in the reactor operated with 4000–4500 mg MLVSS L− 1. Under these conditions, the reactor showed a COD removal of 91% from 60 hours onward. Similar to BOD5, there was no statistical difference for the 72-hour HRT when applying 4000–4500 and 5000–5500 mg MLVSS L− 1.
The removal of other parameters
The six main operating parameters of this research are presented in Table 1. Next to each average concentration, there is the standard deviation in parentheses, and superscript letters are used to indicate statistical significance. If two concentrations have the same letter, it indicates that there is no statistically significant difference between them. If the letters are different, it means that there are significant differences. For 72 hours of HRT and MLVSS concentrations above 4000 mg/L, the values of NTK (Total Kjeldahl Nitrogen), O&F (Oil and Fat), and surfactants were below the method's detection limit, and phosphorus (P) was removed with an efficiency of 85%.