Modelisation of the Biomethane Accumulation in Anaerobic Co-Digestion of Whey and Sugarcane Molasse Mixtures
Abstract
:1. Introduction
2. Materials and Methods
2.1. Raw Materials Used
2.2. Physico-Chemical Characterisation
2.3. Experimental Procedure
2.4. Kinetic Model for the Anaerobic Co-Digestion Mixes of Whey and Molasses
2.5. Statistical Comparison of Models
3. Results and Discussion
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Models | Parameters | Mix (W:M), % (m/m) | ||||
---|---|---|---|---|---|---|
0:100 | 25:75 | 50:50 | 75:25 | 100:0 | ||
Modif. first-order (f = 5) Equation (2) | Gm1, Nml CH4 | 127.00 | 18.21 | 32.90 | 92.86 | 16.47 |
k01, d−1 | 0.95 | 1.55 | 1.37 | 1.25 | 0.86 | |
Gm2, Nml CH4 | 182.00 | 19.83 | 24.90 | 100.00 | 20.00 | |
k02, d−1 | 3.92 | 32.18 | 4.72 | 12.53 | 12.65 | |
td, d | 6.17 | 4.80 | 4.17 | 6.51 | 6.21 | |
R2, - | 0.949 | 0.983 | 0.979 | 0.986 | 0.966 | |
NRMSE, % | 5.59% | 2.84% | 3.17% | 2.62% | 4.48% | |
AICC, - | 102.75 | −5.95 | 15.12 | 51.24 | 10.44 | |
Modif. two-phase Gompertz (f = 6) Equation (3) | Gm1, Nml CH4 | 125.71 | 1.90 | 32.30 | 66.89 | 15.90 |
Rm1, Nml CH4·d−1 | 59.39 | 35.66 | 28.95 | 159.11 | 10.80 | |
λ1, d | 0.13 | 4.88 | 0.16 | 0.39 | 0.20 | |
Gm2, Nml CH4 | 56.31 | 17.94 | −8.02 | 33.45 | 4.10 | |
Rm2, Nml CH4·d−1 | 251.23 | 20.22 | −13.43 | 6.90 | 18.10 | |
λ2, d | 6.16 | 0.18 | 4.20 | 0.00 | 6.14 | |
R2, - | 0.990 | 0.983 | 0.993 | 0.995 | 0.975 | |
NRMSE, % | 2.66% | 2.81% | 1.86% | 1.48% | 3.85% | |
AICC, - | 78.94 | −2.02 | −0.68 | 33.90 | 9.11 | |
Multi-stage first-order (f = 5) Equation (4) | Gm1, Nml CH4 | 193.22 | 3.99 | 36.66 | 47.91 | 49.88 |
k01, d−1 | 0.16 | 0.15 | 1.20 | 0.42 | 0.02 | |
Gm2, Nml CH4 | 1.10 | 10.22 | 1013.16 | 25.60 | 6.38 | |
k02, d−1 | 3.50 | 1.67 | 0.00 | 6.37 | 1.13 | |
Gm12, Nml CH4 | 32.5 | 6.70 | 1144.77 | 27.5 | 6.4 | |
R2, - | 0.926 | 0.968 | 0.921 | 0.996 | 0.932 | |
NRMSE, % | 7.15% | 3.84% | 5.88% | 1.46% | 6.22% | |
AICC, - | 112.11 | 5.56 | 38.63 | 28.88 | 22.91 | |
Fitzhugh (f = 3) Equation (5) | Gm, Nml CH4 | 194.38 | 19.29 | 27.14 | 96.39 | 18.89 |
k0, d−1 | 0.16 | 0.99 | 1.79 | 1.09 | 0.48 | |
n, - | 1.65 | 1.28 | 1.19 | 0.99 | 1.21 | |
R2, - | 0.915 | 0.960 | 0.667 | 0.971 | 0.898 | |
NRMSE, % | 8.09% | 4.33% | 10.93% | 3.83% | 7.75% | |
AICC, - | 109.80 | 3.05 | 55.18 | 58.63 | 24.25 | |
Transference function (f = 3) Equation (6) | Gm, Nml CH4 | 194.40 | 19.30 | 27.14 | 96.39 | 18.89 |
Rm, Nml CH4·d−1 | 52.63 | 24.47 | 58.03 | 104.96 | 10.99 | |
λ, d | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | |
R2, - | 0.915 | 0.960 | 0.672 | 0.971 | 0.898 | |
NRMSE, % | 8.09% | 4.33% | 10.93% | 3.83% | 7.75% | |
AICC, - | 109.80 | 3.05 | 55.18 | 58.63 | 24.25 | |
Cone (f = 3) Equation (7) | Gm, Nml CH4 | 746.80 | 20.24 | 27.18 | 116.36 | 26.06 |
k, d−1 | 0.02 | 2.00 | 1.40 | 1.76 | 0.48 | |
n, - | 0.61 | 1.26 | 5.78 | 0.67 | 0.77 | |
R2, - | 0.933 | 0.968 | 0.688 | 0.996 | 0.919 | |
NRMSE, % | 6.91% | 3.85% | 10.72% | 1.42% | 6.81% | |
AICC, - | 103.79 | −1.40 | 54.44 | 20.93 | 19.32 |
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Arotingo Guandinango, H.P.; Espín Valladares, R.d.C.; Núñez Pérez, J.; Lara Fiallos, M.V.; Pereda Reyes, I.; Pais-Chanfrau, J.M. Modelisation of the Biomethane Accumulation in Anaerobic Co-Digestion of Whey and Sugarcane Molasse Mixtures. Fermentation 2023, 9, 834. https://doi.org/10.3390/fermentation9090834
Arotingo Guandinango HP, Espín Valladares RdC, Núñez Pérez J, Lara Fiallos MV, Pereda Reyes I, Pais-Chanfrau JM. Modelisation of the Biomethane Accumulation in Anaerobic Co-Digestion of Whey and Sugarcane Molasse Mixtures. Fermentation. 2023; 9(9):834. https://doi.org/10.3390/fermentation9090834
Chicago/Turabian StyleArotingo Guandinango, Huaita Pacari, Rosario del Carmen Espín Valladares, Jimmy Núñez Pérez, Marco Vinicio Lara Fiallos, Ileana Pereda Reyes, and José Manuel Pais-Chanfrau. 2023. "Modelisation of the Biomethane Accumulation in Anaerobic Co-Digestion of Whey and Sugarcane Molasse Mixtures" Fermentation 9, no. 9: 834. https://doi.org/10.3390/fermentation9090834