The results of initial deposition experiments at 96 h and 120 h culture times are shown in Fig. 2. As can be seen, at 96 hours of cultivation, the yield of treatment with local fungus and municipal sewage extract was much higher than other treatments. However, with 120 h of cultivation, the yields of all treatments are very close and similar.
Table 3
Designed experiments and their results (A: Concentration of carbon source, B: Concentration of nitrogen source, C: pH and D: Temperature.
A | B | C | D | DP (Deposition Percentage) (%) | IOEP (Iron Oxide Extraction Percentage) (%) |
1 | 1 | 1 | 1 | 90% | 72.87 |
-1 | 1 | 1 | 1 | 98% | 90.98 |
1 | -1 | -1 | 1 | 33% | 25.62 |
0 | 2 | 0 | 0 | 95% | 91.07 |
1 | -1 | -1 | -1 | 74% | 53.46 |
1 | -1 | 1 | 1 | 92% | 67.51 |
-1 | -1 | -1 | 1 | 41% | 40.63 |
0 | 0 | -2 | 0 | 67% | 52.39 |
0 | 0 | 0 | 0 | 91% | 72.30 |
-1 | 1 | 1 | -1 | 90% | 68.73 |
1 | 1 | -1 | -1 | 91% | 68.93 |
1 | 1 | 1 | -1 | 69% | 52.17 |
-1 | 1 | -1 | -1 | 93% | 71.20 |
0 | 0 | 0 | 0 | 91% | 72.30 |
-1 | 1 | -1 | 1 | 90% | 67.55 |
1 | -1 | 1 | -1 | 88% | 83.37 |
0 | 0 | 0 | 0 | 91% | 72.30 |
0 | 0 | 2 | 0 | 59% | 45.10 |
0 | 0 | 0 | 0 | 91% | 72.30 |
0 | 0 | 0 | 2 | 58% | 43.39 |
0 | -2 | 0 | 0 | 22% | 17.92 |
-2 | 0 | 0 | 0 | 86% | 67.37 |
0 | 0 | 0 | -2 | 81% | 64.43 |
-1 | -1 | -1 | -1 | 76% | 58.61 |
-1 | -1 | 1 | -1 | 70% | 49.44 |
2 | 0 | 0 | 0 | 96% | 77.55 |
0 | 0 | 0 | 0 | 91% | 72.30 |
1 | 1 | -1 | 1 | 39% | 30.80 |
0 | 0 | 0 | 0 | 91% | 72.30 |
-1 | -1 | 1 | 1 | 60% | 44.49 |
0 | 0 | 0 | 0 | 91% | 72.30 |
The analysis of variance (ANOVA) on the test results are given in the Table 4. The coded coefficients of response surface regression are listed in Table 5. According to p-values the significant coefficients are selected. Equations (2) and (3) show the correlation for DP and IOEP on the experimental parameters with encoded coefficients, respectively. The confidence level for regression coefficients signification was considered 95%.
In Table 6 the brief results of Analysis of Variance is shown.
$$DP=91.31+11.38B-6.45D-7.44{B}^{2}-6.40{C}^{2}-4.80{D}^{2}-7.49AB+9.54CD$$
2
$$IOEP=72.30+10.27B-5.60{C}^{2}-6.90AB+6.86CD$$
3
As can be seen in Tables 4 and 6, the F and P values for the obtained models for the DP and the IOEP indicate the validity of the model.
The linear regression coefficient obtained in the second-degree regression model for the variable concentration of nitrogen source, temperature and pH shows the high effect of these three variables on the DP. However, in the case of carbon source concentration, its effect practically negligible. As can be seen in Figs. 3 and 4, the range of DP changes with nitrogen source concentration, pH, and temperature is significantly higher than the range of changes affected by carbon source concentration. While the rate of change in DP by variation in carbon content, and temperature variations is 10%, and 10–40%, respectively, such rate of change for nitrogen source concentration and pH variations is 10–100%. Second-degree regression coefficients for the nitrogen concentration, temperature and pH variables were significant, but was not significant for the carbon source concentration.
Table 4
Results of variance analysis for the model and regression coefficients *. These coefficients are significant at α = 95%.
Deposit percentage(DP) | F value | P value | Iron oxides extraction percentage(IOEP) | F value | P value |
model | 6.10 | 0.000* | model | 4.21 | 0.004* |
A | 0.13 | 0.719 | A | 0.09 | 0.769 |
B | 24.65 | 0.000* | B | 19.79 | 0.000* |
C | 3.65 | 0.074 | C | 3.14 | 0.095 |
D | 7.92 | 0.012* | D | 3.77 | 0.070 |
A2 | 0.01 | 0.760 | A2 | 0.02 | 0.879 |
B2 | 12.56 | 0.003* | B2 | 3.88 | 0.067 |
C2 | 9.30 | 0.008* | C2 | 7.01 | 0.018* |
D2 | 5.22 | 0.036* | D2 | 4.15 | 0.058 |
AB | 7.13 | 0.013* | AB | 5.97 | 0.027* |
AC | 3.32 | 0.087 | AC | 3.25 | 0.091 |
AD | 0.38 | 0.548 | AD | 1.58 | 0.227 |
BC | 1.29 | 0.273 | BC | 0.20 | 0.661 |
BD | 1.56 | 0.229 | BD | 2.25 | 0.153 |
CD | 11.57 | 0.004* | CD | 5.89 | 0.027* |
Table 5
Coded coefficients of Response Surface Regression *. These coefficients are significant at α = 95%.
Deposit percentage(DP) | Coefficient | T value | P value | Iron oxides extraction percentage(IOEP) | Coefficient | T Value | P Value |
Constant | 91.31 | 21.52 | 0.000* | Constant | 72.30 | 16.92 | 0.000* |
A | -1.68 | -0.37 | 0.719 | A | -1.38 | -0.30 | 0.769 |
B | 22.75 | 4.96 | 0.000* | B | 20.53 | 4.45 | 0.000* |
C | 8.75 | 1.91 | 0.074 | C | 8.18 | 1.77 | 0.095 |
D | -12.89 | -2.81 | 0.012* | D | -8.96 | -1.94 | 0.070 |
A2 | 2.61 | 0.31 | 0.760 | A2 | 1.32 | 0.16 | 0.870 |
B2 | -29.75 | -3.54 | 0.003* | B2 | -16.65 | -1.97 | 0.067 |
C2 | -25.61 | -3.05 | 0.008* | C2 | -22.39 | -2.65 | 0.018* |
D2 | -19.18 | -2.28 | 0.036* | D2 | -17.23 | -2.04 | 0.058 |
AB | -30.0 | -2.67 | 0.017* | AB | -27.6 | -2.44 | 0.027* |
AC | 20.5 | 1.82 | 0.087 | AC | 20.4 | 1.80 | 0.091 |
AD | -6.9 | -0.61 | 0.548 | AD | -14.2 | -1.26 | 0.227 |
BC | -12.8 | -1.14 | 0.273 | BC | -5.1 | -0.45 | 0.661 |
BD | 14.0 | 1.25 | 0.229 | BD | 16.9 | 1.50 | 0.153 |
CD | 38.2 | 3.40 | 0.004* | CD | 27.4 | 2.43 | 0.027* |
Table 6
The brief results of Analysis of Variance *. The relationship assumed in the model is reasonable, i.e., there is no lack of fit.
Par. | Source | DF | Adj SS | Adj MS | F-Value | P-Value |
DP | Regression | 14 | 10757.1 | 768.36 | 6.10 | 0.000 |
Residual Error | 16 | 2015.8 | 125.99 | | |
Lack of Fit | 10 | 2015.8 | 201.58 | | |
Pure Error | 6 | 0.0 | 0.00 | * | * |
Total | 30 | | | | |
IOEP | Regression | 14 | 7536.16 | 538.30 | 4.21 | 0.004 |
Residual Error | 16 | 2044.55 | 127.78 | | |
Lack of Fit | 10 | 2044.55 | 204.46 | | |
Pure Error | 6 | 0.00 | 0.00 | | |
Total | 30 | 9580.72 | | | |
The important point about the regression coefficients is the interaction of variables, which is negative for the interaction of nitrogen source concentration and carbon source concentration. With the simultaneous increase of both variables, the DP decreases, but with increasing nitrogen source concentration alone, it rises. On the other hand, DP increases with increasing of both parameters of temperature and pH simultaneously. However, as an interesting point reduction pH, cause major reduction of DP if temperature increase. It can be depended to anions behaviors in low pH.
Regarding the IOEP, the linear regression coefficient obtained in the second-degree regression model for the nitrogen source concentration is significant. However, linear coefficients for carbon source concentration, pH and temperature are insignificant (p > 0.05) and may be neglected. As can be seen in Figs. 5 and 6, the range of changes in the amount of IOEP with nitrogen source concentration variations (10–100%) is greater than that with carbon source concentration, temperature and pH variations (36%-70%, 36%-70%, and 30%-70%, respectively). The second-degree regression coefficient of the variables was significant only for pH. The interaction regression coefficient of the variables was significant only for the interaction of pH and temperature.
Of the four studied parameters, nitrogen source concentration and temperature had the most effect on enrichment of the deposits, while carbon source concentration had the least effect. As the results of this study showed, increasing the concentration of nitrogen source has increased the percentage of deposition and the extraction rate of iron oxides. The only inhibitory factors in this field have been high values of pH and carbon source concentrations. Effect of increasing the pH confirmed the findings of other researchers in this field (Aljuboori et al. 2014). In both the deposition percentage and the amount of iron oxide extraction, the reducing of temperature increase is greater than increasing the concentration of carbon source. Because with increasing temperature, the vital activities of fungi are reduced, and the production of extracellular proteins is greatly reduced. However, by increasing the carbon source concentration, unlike increasing the temperature, the fungus begins to reproduce more and more. At such conditions, while the production of biofluccolant decreases, part of the produced biomass functions as biofluccolant.
In optimizing the extraction conditions, due to the insignificant effect of carbon source concentration on DP and IOEP, the central value of 10 g/L was selected for calculation. Temperature was considered as the main variables and the results were analyzed to obtain the maximum DP and IOEP by the software. The nominal and experimental results are shown in Table 7.
The optimum condition can be visualized by superimposing the contours for the two responses in an overlain plot, as shown in Figs. 7 and 8. The results of DP and IOEP obtained under optimal conditions by model and experiment is shown in Table 7.The optimum of DP in experiment is 91.31% and for IOEP is 72.30%.
The linear correlation coefficients (R2) between the model predicted and the experimental results for DP and the IOEP were 0.8422 and 0.7866, respectively (Figs. 9 and 10).
Table 7
Results of DP and IOEP obtained under optimal conditions by model and experiment
Optimization type | Dependent parameter | A | B | C | D | Amount (model) | Amount (experimental) |
Compound | DP | -2.0 (0 g/L) | 2 (1.0 g/L) | -1.8788 (5.88) | -1.2355 (17.65°C) | 128.81 | 91.31 |
IOEP | 98.57 | 72.30 |
The results of this study showed that the bio-flocculant produced by A. niger fungus had the ability of selective deposition of iron oxides. At optimal conditions -maltose concentration of 10 g/L, urban sewage sludge extract concentration of 0.95 g/L, pH 7.36 and temperature of 29.6°C- can reach to 88% deposition percentage and 76.45% iron oxide extraction rate. It means that 80% of iron oxides in the produced sediment.